What is 7/8 of 66?

How to calculate 7/8 of 66?

1. Multiply the whole number by the numerator of the fraction: 66 × 7 = 462
2. Divide this result by denominator of the fraction: 462/8 = 57.75
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 462/2 = 231
   • 8/2 = 4
4. Which gives: 231/4

Since 231/4 is an improper fraction, the result could also be expressed as a mixed number: 57 3/4

How does it work?

The principle behind finding a fraction of a number, such as 7/8 of 66, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{7}{8}=\frac{x}{66}$ (where x represents 7/8 of 66)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $7\times 66=8x$
2. Which gives: $462=8x$
3. Divide both sides by 8 to isolate x: $\frac{462}{8}=\frac{8x}{8}$
4. Which gives the result: $\frac{462}{8}=x$ (or $\frac{231}{4}=x$)

Thus, 7/8 of 66 is equal to 231/4 (or 57.75 in its decimal form).