What is 7/8 of 74?

How to calculate 7/8 of 74?

1. Multiply the whole number by the numerator of the fraction: 74 × 7 = 518
2. Divide this result by denominator of the fraction: 518/8 = 64.75
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 518/2 = 259
   • 8/2 = 4
4. Which gives: 259/4

Since 259/4 is an improper fraction, the result could also be expressed as a mixed number: 64 3/4

How does it work?

The principle behind finding a fraction of a number, such as 7/8 of 74, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{7}{8}=\frac{x}{74}$ (where x represents 7/8 of 74)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $7\times 74=8x$
2. Which gives: $518=8x$
3. Divide both sides by 8 to isolate x: $\frac{518}{8}=\frac{8x}{8}$
4. Which gives the result: $\frac{518}{8}=x$ (or $\frac{259}{4}=x$)

Thus, 7/8 of 74 is equal to 259/4 (or 64.75 in its decimal form).