Question

Tony is writing a fraction equivalent to 27 using the formula 2×m7×n. Which statement about m and n must be true so that Tony's fraction has the same value as 27?

Answer 1

The question is not clearly stated, below is a possible match of the clearly and completely stated question:

Tony is writing a fraction equivalent to 2/7 using the formula 2*m/7*n. Which statement about m and n must be true so that tony fraction has the same value as 2/7

A. M/n has to be greater than 1

B. M/n has to equal 7

C. M/n has to be greater than 2

D. M/n has to equal 1

Answer:

m/n has to equal 1 (D)

Explanation:

`original\ fraction = (2)/(7) \\equivalent\ fraaction = (2\ *\ m)/(7\ *\ n) \\equivalent\ fraction\ = (2)/(7) *\ (m)/(n) \\`

since the target for the equaivalent fraction is the same as the equivalent fraction (
`(2)/(7)`), the value of
`(m)/(n)` must be equal to 1, so that the multiplication will be:

`(2)/(7) * 1 = (2)/(7)`