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

Answer:

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)

Step-by-step explanation:

$original\ fraction = \frac{2}{7} \\equivalent\ fraaction = \frac{2\ \times\ m}{7\ \times\ n} \\equivalent\ fraction\ = \frac{2}{7} \times\ \frac{m}{n}$

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

$\frac{2}{7} \times 1 = \frac{2}{7}$