find the quotient of 2/5 ÷ 8/5 Corey rewrites the problem as 5/2 × 8/5 explain Corey's mistake and how to correct it

Mathematics · Middle School · Thu Jan 21 2021

Answered on

Given:

2/5 ÷ 8/5

Determine Corey's mistake when she wrote 5/2 x 8/5

Explanation:

We must take note that in dividing two fractions, we must take the reciprocal of the denominator, not the numerator. In Corey's case, she took the reciprocal of 2/5 which is 5/2 then multiply it with 8/5. She must focus on the denominator and not on the numerator. To correct the procedure, we will take tha reciprocal of 8/5 which is 5/8 then multiply it with 2/5

Solution:

= 2/5 ÷ 8/5

= (2/5)(5/8)

=2/8

= ¼

Final answer

= ¼