Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Tomas was able to fill 6(2)/(3) equal-sized buckets with a total of 33(1)/(3) liters of paint. How much paint was in each whole bucket? ◻ liters

Tomas was able to fill 6236\frac{2}{3} equal-sized buckets with a total of 331333\frac{1}{3} liters of paint.\newline How much paint was in each whole bucket?\newline □\square liters

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Grade 7right chevron icon
Divide decimals by whole numbers: word problemsright chevron icon

Full solution

Q. Tomas was able to fill 6236\frac{2}{3} equal-sized buckets with a total of 331333\frac{1}{3} liters of paint.\newline How much paint was in each whole bucket?\newline □\square liters
  1. Calculate buckets and paint: We have 6(23)6\left(\frac{2}{3}\right) buckets and 33(13)33\left(\frac{1}{3}\right) liters of paint. To find the amount of paint per bucket, we divide the total paint by the number of buckets.
  2. Convert fractions to improper: First, convert 6(23)6\left(\frac{2}{3}\right) to an improper fraction: (6×3+2)/3=(18+2)/3=203\left(6 \times 3 + 2\right)/3 = \left(18 + 2\right)/3 = \frac{20}{3} buckets.
  3. Divide total paint by buckets: Now, convert 33(13)33\left(\frac{1}{3}\right) to an improper fraction: (33×3+1)/3=(99+1)/3=1003\left(33 \times 3 + 1\right)/3 = \left(99 + 1\right)/3 = \frac{100}{3} liters.
  4. Simplify multiplication: Next, divide the total liters of paint by the number of buckets: (100/3)÷(20/3)=(100/3)×(3/20)(100/3) \div (20/3) = (100/3) \times (3/20).
  5. Calculate amount per bucket: Simplify the multiplication: (1003)×(320)=100×33×20=10020(\frac{100}{3}) \times (\frac{3}{20}) = \frac{100 \times 3}{3 \times 20} = \frac{100}{20}.
  6. Calculate amount per bucket: Simplify the multiplication: (100/3)×(3/20)=100×3/3×20=100/20(100/3) \times (3/20) = 100 \times 3 / 3 \times 20 = 100/20.Finally, divide 100100 by 2020 to get the amount of paint per bucket: 100/20=5100/20 = 5 liters per bucket.

More problems from Divide decimals by whole numbers: word problems

Question
Convert the following repeating decimal to a fraction in simplest form.\newline.68‾ .6 \overline{8} \newlineAnswer:
Get tutor helpright-arrow

Posted 2 months ago

Question
Convert the following repeating decimal to a fraction in simplest form.\newline.94‾ .9 \overline{4} \newlineAnswer:
Get tutor helpright-arrow

Posted 2 months ago

Question
Convert the following repeating decimal to a fraction in simplest form.\newline.96‾ .9 \overline{6} \newlineAnswer:
Get tutor helpright-arrow

Posted 2 months ago

Question
Which expression is equivalent to 99.7−(−57.9) 99.7-(-57.9) ?\newline99.7−57.9 99.7-57.9 \newline57.9−99.7 57.9-99.7 \newline−57.9−99.7 -57.9-99.7 \newline99.7+57.9 99.7+57.9
Get tutor helpright-arrow

Posted 2 months ago

Question
Find the value of x x in the equation below.\newlinex−13.6=7.6 x-13.6=7.6 \newlineAnswer: x= x=
Get tutor helpright-arrow

Posted 2 months ago

Question
A scientist was in a submarine below sea level, studying ocean life. Over the next ten minutes, she dropped 6868.11 feet. How many feet had she been below sea level, if she was 155155.44 feet below sea level after she dropped?\newlineAnswer: □\square feet
Get tutor helpright-arrow

Posted 2 months ago

Question
A scientist was in a submarine below sea level, studying ocean life. Over the next ten minutes, she went down 3636.33 feet. How many feet had she been below sea level, if she was 9999.77 feet below sea level after she went down?\newlineAnswer: □\square feet
Get tutor helpright-arrow

Posted 2 months ago

Question
A scientist was in a submarine below sea level, studying ocean life. Over the next ten minutes, she descended 2222 feet. How many feet had she been below sea level, if she was 5252.33 feet below sea level after she descended?\newlineAnswer: □\square feet
Get tutor helpright-arrow

Posted 2 months ago

Question
A scientist was in a submarine below sea level, studying ocean life. Over the next ten minutes, she dropped 8888.66 feet. How many feet had she been below sea level, if she was 182182.55 feet below sea level after she dropped?\newlineAnswer: □\square feet
Get tutor helpright-arrow

Posted 2 months ago

Question
A scientist was in a submarine, 4141.44 feet below sea level, studying ocean life. Over the next ten minutes, she rose 3333.66 feet. How many feet was she now below sea level?\newlineAnswer: □\square feet
Get tutor helpright-arrow

Posted 2 months ago

View all (24)