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Let’s check out your problem:
6
7
×
5
8
\frac{6}{7} \times \frac{5}{8}
7
6
×
8
5
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Math Problems
Algebra 2
Add, subtract, multiply, and divide polynomials
Full solution
Q.
6
7
×
5
8
\frac{6}{7} \times \frac{5}{8}
7
6
×
8
5
Multiply Numerators and Denominators:
To find the product, multiply the numerators together and the denominators together.
\newline
(
6
7
)
×
(
5
8
)
=
(
6
×
5
7
×
8
)
(\frac{6}{7}) \times (\frac{5}{8}) = (\frac{6 \times 5}{7 \times 8})
(
7
6
)
×
(
8
5
)
=
(
7
×
8
6
×
5
)
Multiply Numerators:
Now, multiply the numerators:
6
×
5
=
30
6 \times 5 = 30
6
×
5
=
30
.
Multiply Denominators:
Next, multiply the denominators:
7
×
8
=
56
7 \times 8 = 56
7
×
8
=
56
.
Find Product:
So, the product is
30
56
\frac{30}{56}
56
30
. But wait, we can simplify this
fraction
.
Simplify Fraction:
Both
30
30
30
and
56
56
56
are divisible by
2
2
2
.
$
30
÷
2
=
15
\$30 \div 2 = 15
$30
÷
2
=
15
and
56
÷
2
=
28
56 \div 2 = 28
56
÷
2
=
28
\).\ So,
30
56
\frac{30}{56}
56
30
simplifies to
15
28
\frac{15}{28}
28
15
.
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