What is 7/8 of 92?

How to calculate 7/8 of 92?

1. Multiply the whole number by the numerator of the fraction: 92 × 7 = 644
2. Divide this result by denominator of the fraction: 644/8 = 80.5
3. Simplify by dividing both the numerator and denominator by their GCD (4):
   • 644/4 = 161
   • 8/4 = 2
4. Which gives: 161/2

Since 161/2 is an improper fraction, the result could also be expressed as a mixed number: 80 1/2

How does it work?

The principle behind finding a fraction of a number, such as 7/8 of 92, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{7}{8}=\frac{x}{92}$ (where x represents 7/8 of 92)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $7\times 92=8x$
2. Which gives: $644=8x$
3. Divide both sides by 8 to isolate x: $\frac{644}{8}=\frac{8x}{8}$
4. Which gives the result: $\frac{644}{8}=x$ (or $\frac{161}{2}=x$)

Thus, 7/8 of 92 is equal to 161/2 (or 80.5 in its decimal form).