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Math Problems
Grade 6
Add, subtract, multiply, or divide two fractions
Multiply. Write your answer as a fraction or as a whole or mixed number.
\newline
10
×
4
5
=
10 \times \frac{4}{5} =
10
×
5
4
=
_____
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Subtract. Write your answer as a fraction or as a whole or mixed number.
\newline
12
2
5
−
7
1
5
=
12\frac{2}{5} - 7\frac{1}{5} =
12
5
2
−
7
5
1
=
_____
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Subtract. Write your answer as a fraction or as a whole or mixed number.
\newline
14
1
3
−
11
2
3
=
14\frac{1}{3} - 11\frac{2}{3} =
14
3
1
−
11
3
2
=
_____
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Amelia and her sister went together to get haircuts. Amelia got
7
12
\frac{7}{12}
12
7
of an inch cut off and her sister got
1
4
\frac{1}{4}
4
1
of an inch cut off. Compared to her sister, how much more hair did Amelia get taken off?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
_
_
\_\_\_
___
inches
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Jaden found an orange caterpillar and a green caterpillar in his backyard. The green caterpillar was
11
12
\frac{11}{12}
12
11
of an inch long and the orange caterpillar was
2
3
\frac{2}{3}
3
2
of an inch long. How much longer was the green caterpillar than the orange caterpillar?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
_
_
\_\_\_
___
inches
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In the morning, Isaiah drove to the store and used
2
3
\frac{2}{3}
3
2
of a gallon of gas. In the afternoon, he drove to the movie theater and used
5
12
\frac{5}{12}
12
5
of a gallon of gas. How much gas did Isaiah use in all?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_____ gallons
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At a pie-eating contest, Rita got through
11
12
\frac{11}{12}
12
11
of a pie before time was called; Aisha finished just
2
3
\frac{2}{3}
3
2
of a pie. How much more pie did Rita eat than Aisha?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_____ of a pie
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Of the flags in David's Flag Shop,
7
12
\frac{7}{12}
12
7
are red and another
1
4
\frac{1}{4}
4
1
are white. What fraction of the flags are either red or white?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
_
_
_
\_\_\_\_
____
of the flags
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Gabrielle watched a beetle and a spider on the sidewalk. The beetle crawled
7
12
\frac{7}{12}
12
7
of a yard and the spider crawled
1
3
\frac{1}{3}
3
1
of a yard. How much farther did the beetle crawl than the spider?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
_
_
_
\_\_\_\_
____
yards
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While making desserts for a bake sale, Irma used
7
8
\frac{7}{8}
8
7
of a scoop of brown sugar as well as
3
4
\frac{3}{4}
4
3
of a scoop of white sugar. How much more brown sugar did Irma use?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
_
_
\_\_\_
___
scoops
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A spaceship traveled
1
12
\frac{1}{12}
12
1
of a light-year and stopped at a space station. Then it traveled
3
4
\frac{3}{4}
4
3
of a light-year further to a planet. How far did the spaceship travel in all?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_____ light-years
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Sidney is trying to fit two boxes into the trunk of her car. One box is
1
6
\frac{1}{6}
6
1
of a foot tall and the other is
7
12
\frac{7}{12}
12
7
of a foot tall. Stacked on top of each other, what is the combined height of the two boxes?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_____ feet
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5
+
8
−
9
5+8-9
5
+
8
−
9
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Helena lost her marbles. But then she found them and put them in
4
4
4
bags wit
m
m
m
marbles in each bag. She had
3
3
3
marbles left over that didn't fit in the bags.
\newline
How many marbles does Helena have in all?
\newline
Write your answer as an expression.
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ext{ exttt{se hi hoga}}
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Scarlett has the deluxe version of the card game Mysterious Monsters of the Deep with
3
3
3
D images printed on the playing cards. She randomly selects one card from the deck, puts it back in the deck, and picks another card. She repeats this several times and gets
2
2
2
anglerfish,
3
3
3
vampire squids,
1
1
1
viperfish,
4
4
4
megamouth sharks, and
5
5
5
ghost fish.
\newline
Based on the data, what is the probability that the next card Scarlett selects will have an anglerfish on it?
\newline
Write your answer as a fraction or whole number.
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7
+
9
=
8
7+9=8
7
+
9
=
8
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A water bottle holds
3
10
\frac{3}{10}
10
3
of a gallon of water. There are
14
5
\frac{14}{5}
5
14
gallons of water in a water tank. How many water bottles can be filled with the water in the tank?
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New policies reduced the overuse of water in an area. The
water table
\text{water table}
water table
in that area went up by
x
x
x
meters in one year. The water table was
y
y
y
meters below the surface at the start of the year. The following equation describes this situation. What does
x
x
x
tell us? Choose
1
1
1
answer:
\newline
Choose
1
1
1
answer:
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Add. Write your answer as a fraction or as a whole or mixed number.
\newline
2
3
8
+
3
1
8
=
2\frac{3}{8} + 3\frac{1}{8} =
2
8
3
+
3
8
1
=
_____
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Subtract. Write your answer as a fraction or as a whole or mixed number.
\newline
14
2
3
−
10
1
3
=
14\frac{2}{3} - 10\frac{1}{3} =
14
3
2
−
10
3
1
=
_____
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Divide.
\newline
1
4
÷
2
=
_
_
_
_
\frac{1}{4} \div 2 = \_\_\_\_
4
1
÷
2
=
____
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A pizza restaurant had
1
2
\frac{1}{2}
2
1
of a gallon of pizza sauce left at the end of the evening and divided it equally between
2
2
2
pizzas. How much sauce did they put on each pizza?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_____ gallons
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A cookie factory uses
1
8
\frac{1}{8}
8
1
of a barrel of oatmeal in each batch of cookies. The factory used
5
8
\frac{5}{8}
8
5
of a barrel of oatmeal yesterday. How many batches of cookies did the factory make?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_____ batches
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Roxanne added
2
5
\frac{2}{5}
5
2
of a cup of yellow raisins and
7
7
10
7\frac{7}{10}
7
10
7
cups of black raisins to a batch of trail mix. How many cups of raisins did Roxanne add in all?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_____ cups
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A meteorologist recorded the rainfall in Westminster in two consecutive months. In the first month, there was
1
1
1
inch of rain. In the second month, there was
2
2
3
2\frac{2}{3}
2
3
2
inches of rain. What was the total amount of rainfall during the two months?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
_
_
\_\_\_
___
inches
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Danielle bought
3
5
6
3\frac{5}{6}
3
6
5
pounds of green grapes and
1
1
2
1\frac{1}{2}
1
2
1
pounds of red grapes. How much more did the green grapes weigh than the red grapes?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
_
_
_
\_\_\_\_
____
pounds
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Maureen and Ashley own neighboring cornfields. Maureen harvested
4
4
4
acres of corn on Monday and Ashley harvested
5
8
\frac{5}{8}
8
5
of an acre. How many more acres did Maureen harvest than Ashley?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
_
_
_
\_\_\_\_
____
acres
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Divide.
\newline
1
2
3
÷
1
2
3
=
1\frac{2}{3} \div 1\frac{2}{3} =
1
3
2
÷
1
3
2
=
_____
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Divide.
\newline
3
3
4
3\frac{3}{4}
3
4
3
÷
\div
÷
1
3
4
1\frac{3}{4}
1
4
3
= _____
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Divide.
\newline
2
1
3
2\frac{1}{3}
2
3
1
÷
\div
÷
3
1
9
3\frac{1}{9}
3
9
1
= _____
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Divide.
\newline
2
1
2
2\frac{1}{2}
2
2
1
÷
\div
÷
1
1
2
1\frac{1}{2}
1
2
1
= _____
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Divide.
\newline
1
1
2
1\frac{1}{2}
1
2
1
÷
\div
÷
1
1
4
1\frac{1}{4}
1
4
1
= _____
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Divide.
\newline
2
3
4
2\frac{3}{4}
2
4
3
÷
\div
÷
2
4
9
2\frac{4}{9}
2
9
4
= _____
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Divide.
\newline
3
3
4
3\frac{3}{4}
3
4
3
÷
\div
÷
2
1
2
2\frac{1}{2}
2
2
1
= _____
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Divide.
\newline
1
5
8
1\frac{5}{8}
1
8
5
÷
\div
÷
1
1
8
1\frac{1}{8}
1
8
1
= _____
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Divide.
\newline
2
4
9
2\frac{4}{9}
2
9
4
÷
\div
÷
1
7
9
1\frac{7}{9}
1
9
7
= _____
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2
a
5
+
3
=
3
2a_{5}+3=3
2
a
5
+
3
=
3
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In making macaroni and cheese, Porter used
1
2
\frac{1}{2}
2
1
of a cup of cheddar and
3
5
\frac{3}{5}
5
3
of a cup of parmesan. How much cheese did Porter use in all?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
_
_
\_\_\_
___
cups
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Laura, a pet store employee, wants to fit two fish tanks on one table. One fish tank is
2
1
8
2\frac{1}{8}
2
8
1
feet wide and the other fish tank is
1
1
1
foot wide. When placed next to each other, what is the total width of the two fish tanks?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
_
_
\_\_\_
___
feet
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Vince owns two dogs. Each day, one dog eats
1
7
10
1\frac{7}{10}
1
10
7
scoops of dog food and the other dog eats
1
1
2
1\frac{1}{2}
1
2
1
scoops. Together, how much dog food do the two dogs eat each day?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
_
_
_
\_\_\_\_
____
scoops
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A biologist studied how cells grow by adding liquid protein to cell samples. She reported in her study that she divided
8
1
3
8\frac{1}{3}
8
3
1
ounces of liquid protein evenly among
3
3
3
cell samples. How much liquid protein did she give to each cell sample?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_____ ounces
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Last week, a chocolate shop sold
4
1
6
4\frac{1}{6}
4
6
1
ounces of white chocolate. It sold
4
1
2
4\frac{1}{2}
4
2
1
times as much milk chocolate as white chocolate. How many ounces of milk chocolate did the shop sell?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_____ ounces
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Divide.
\newline
−
1
4
÷
−
1
3
=
-\frac{1}{4} \div -\frac{1}{3} =
−
4
1
÷
−
3
1
=
_____
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Divide.
\newline
1
2
\frac{1}{2}
2
1
÷
\div
÷
2
3
\frac{2}{3}
3
2
=
_
_
_
_
_
\_\_\_\_\_
_____
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Divide.
\newline
1
8
\frac{1}{8}
8
1
÷
\div
÷
1
10
\frac{1}{10}
10
1
= _____
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3
3
3
)
8
÷
7
4
)
≤
4
8 \div 7_{4)} \leq 4
8
÷
7
4
)
≤
4
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X
6
=
4
\frac{X}{6} = 4
6
X
=
4
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3
1
3
×
2
5
3 \frac{1}{3} \times \frac{2}{5}
3
3
1
×
5
2
equal
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How many pounds of candy that sells for
$
3.25
\$ 3.25
$3.25
per lb must be mixed with candy that sells for
$
2.75
\$ 2.75
$2.75
per lb to obtain
20
l
b
20 \mathrm{lb}
20
lb
of a mixture that should sell for
$
3.15
\$ 3.15
$3.15
per
l
b
\mathrm{lb}
lb
?
\newline
□
\square
□
Ib of
$
3.25
\$ 3.25
$3.25
-per-lb candy must be mixed with
□
\square
□
Ib of
$
2.75
\$ 2.75
$2.75
-per-lb candy. (Type integers or decimals.)
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1
2
3
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