Final answer:
To solve the equation 7/8 = m/32, cross-multiply by multiplying the numerator of the first fraction by the denominator of the second fraction and setting it equal to the product of the numerator of the second fraction and the denominator of the first fraction. Divide both sides of the equation by 8 to solve for m, which equals 28.
Step-by-step explanation:
To solve the equation 7/8 = m/32, we can cross-multiply. Multiply the numerator of the first fraction (7) by the denominator of the second fraction (32) and set it equal to the product of the numerator of the second fraction (m) and the denominator of the first fraction (8).
7 * 32 = m * 8
224 = 8m
Divide both sides of the equation by 8 to solve for m:
m = 28
The question requires us to solve the proportion 7/8 = m/32 to find the value of m. To do this, we can set up a cross-multiplication where we multiply 7 by 32 and then divide the result by 8 to solve for m. Here’s the step-by-step calculation:
Multiply 7 by 32 to get 224.
Divide 224 by 8 to get the value of m.
The solution is m = 28.
Therefore, the value of m that satisfies the equation 7/8 = m/32 is 28.