What is 10/8 of 93?

How to calculate 10/8 of 93?

1. Multiply the whole number by the numerator of the fraction: 93 × 10 = 930
2. Divide this result by denominator of the fraction: 930/8 = 116.25
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 930/2 = 465
   • 8/2 = 4
4. Which gives: 465/4

Since 465/4 is an improper fraction, the result could also be expressed as a mixed number: 116 1/4

How does it work?

The principle behind finding a fraction of a number, such as 10/8 of 93, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{10}{8}=\frac{x}{93}$ (where x represents 10/8 of 93)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $10\times 93=8x$
2. Which gives: $930=8x$
3. Divide both sides by 8 to isolate x: $\frac{930}{8}=\frac{8x}{8}$
4. Which gives the result: $\frac{930}{8}=x$ (or $\frac{465}{4}=x$)

Thus, 10/8 of 93 is equal to 465/4 (or 116.25 in its decimal form).