Respuesta :
Answer:
15/28
Step-by-step explanation:
3 3/7 ÷ 6 2/5
Change to improper fractions
(7*3+3)/7 ÷ (5*6+2)/5
24/7 ÷32/5
Copy dot flip
24/7 * 5/32
Cancel an 8 from the numerator and denominator
3/7 * 5/4
15/28
Answer: 15/28
Explanation: First write each mixed number as an improper fraction.
As a quick review, to write a mixed number as an improper fraction,
we multiply the denominator times the whole number,
then we add the numerator.
First rewrite 3 and 3/7 as 24/7 and 6 and 2/5 as 32/5.
So we have 24/7 ÷ 32/5.
Dividing by a fraction is the same as multiplying by its reciprocal.
In other words, we can change the division
sign to multiplication and flip the second fraction.
So 24/7 ÷ 32/5 can be rewritten as 24/7 × 5/32.
Before multiplying, noice that the 24 and 32 cross-cancel to 3 and 4.
So we have 3/7 × 5/4 which is 15/28.