3 whole 1 by 3 multiply 2 whole 2 by 5 multiply 1 whole 1 by 7
Answers
Answer:
To multiply fractions, we multiply the numerators and then multiply the denominators.
Example 1: Fractions
\phantom{=}\dfrac{5}{6} \times \dfrac{5}{7}=
6
5
×
7
5
empty space, start fraction, 5, divided by, 6, end fraction, times, start fraction, 5, divided by, 7, end fraction
= \dfrac{5 \times 5}{6 \times 7}=
6×7
5×5
equals, start fraction, 5, times, 5, divided by, 6, times, 7, end fraction
= \dfrac{25}{42}=
42
25
equals, start fraction, 25, divided by, 42, end fraction
Example 2: Mixed numbers
Before multiplying, we need to write the mixed numbers as improper fractions.
2\dfrac{2}{3} \times 1\dfrac352
3
2
×1
5
3
2, start fraction, 2, divided by, 3, end fraction, times, 1, start fraction, 3, divided by, 5, end fraction
= ~\dfrac{8}3 \times \dfrac{8}5=
3
8
×
5
8
equals, space, start fraction, 8, divided by, 3, end fraction, times, start fraction, 8, divided by, 5, end fraction \qquad[How do we write a mixed number as a fraction?]
=\dfrac{8\times 8}{3 \times5}=
3×5
8×8
equals, start fraction, 8, times, 8, divided by, 3, times, 5, end fraction
=\dfrac{64}{15}=
15
64
equals, start fraction, 64, divided by, 15, end fraction
We can also write this as 4\dfrac4{15}4
15
4
4, start fraction, 4, divided by, 15, end fraction .
Step-by-step explanation:
Step-by-step explanation:
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