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
?
To write a fraction equivalent to 27 using the formula 2×m7×n, we can set m = 27 and n = 1. Then the formula becomes:
2×271×1 = 54/7
So the statement that must be true about m and n is that m = 27 and n = 1.
In order for Tony's fraction to have the same value as 27, the value of m and n must be equal to 27.
Since the formula is 2 × m × 7 × n, the value of m must be 1 (to make the fraction 27/1), and the value of n must be 1 as well (to make the fraction 27/1).
So the statement that must be true is: m = n = 1.