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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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Math Problems
Grade 6
Add, subtract, multiply, or divide two fractions
Full solution
Q.
3
1
3
×
2
5
3 \frac{1}{3} \times \frac{2}{5}
3
3
1
×
5
2
equal
Multiply fractions:
Now, multiply the improper fraction by the other fraction.
\newline
(
10
3
)
×
(
2
5
)
(\frac{10}{3}) \times (\frac{2}{5})
(
3
10
)
×
(
5
2
)
Perform multiplication:
Perform the multiplication across the numerators and denominators.
\newline
10
×
2
=
20
10 \times 2 = 20
10
×
2
=
20
and
3
×
5
=
15
3 \times 5 = 15
3
×
5
=
15
\newline
So,
(
10
/
3
)
×
(
2
/
5
)
=
20
/
15
(10/3) \times (2/5) = 20/15
(
10/3
)
×
(
2/5
)
=
20/15
Simplify fraction:
Simplify the resulting fraction.
20
15
\frac{20}{15}
15
20
can be simplified to
4
3
\frac{4}{3}
3
4
by dividing both the numerator and the denominator by
5
5
5
.
Convert to mixed number:
Convert the improper fraction back to a mixed number if needed.
\newline
4
3
=
1
1
3
\frac{4}{3} = 1 \frac{1}{3}
3
4
=
1
3
1
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