Question

Rewrite the fraction with the indicated denominator. (9)/(10)=(?)/(40)

Answer 1

To rewrite the fraction 9/10 with a denominator of 40, multiply both the numerator and denominator by 4, resulting in the fraction 36/40, which represents the same value.

Step-by-step explanation:

To rewrite the fraction 9/10 with the indicated denominator of 40, we must maintain the same value of the fraction while changing its form. To do this, we find a number that we can multiply both the numerator (9) and the denominator (10) by, to reach the new denominator of 40. The number we multiply by is 4, because 10 times 4 equals 40. Now, apply the same multiplication to the numerator:

1. Multiply the numerator 9 by 4, which gives us 36.
2. Multiply the denominator 10 by 4, which gives us 40.
3. The new fraction is 36/40.

The same value is represented with the new denominator. If necessary, we can simplify the resultant fraction by canceling equivalent terms in both numerator and denominator, but that was not requested in the question.