What is 7/8 of 76?

How to calculate 7/8 of 76?

1. Multiply the whole number by the numerator of the fraction: 76 × 7 = 532
2. Divide this result by denominator of the fraction: 532/8 = 66.5
3. Simplify by dividing both the numerator and denominator by their GCD (4):
   • 532/4 = 133
   • 8/4 = 2
4. Which gives: 133/2

Since 133/2 is an improper fraction, the result could also be expressed as a mixed number: 66 1/2

How does it work?

The principle behind finding a fraction of a number, such as 7/8 of 76, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{7}{8}=\frac{x}{76}$ (where x represents 7/8 of 76)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $7\times 76=8x$
2. Which gives: $532=8x$
3. Divide both sides by 8 to isolate x: $\frac{532}{8}=\frac{8x}{8}$
4. Which gives the result: $\frac{532}{8}=x$ (or $\frac{133}{2}=x$)

Thus, 7/8 of 76 is equal to 133/2 (or 66.5 in its decimal form).