What is 10/8 of 58?

How to calculate 10/8 of 58?

1. Multiply the whole number by the numerator of the fraction: 58 × 10 = 580
2. Divide this result by denominator of the fraction: 580/8 = 72.5
3. Simplify by dividing both the numerator and denominator by their GCD (4):
   • 580/4 = 145
   • 8/4 = 2
4. Which gives: 145/2

Since 145/2 is an improper fraction, the result could also be expressed as a mixed number: 72 1/2

How does it work?

The principle behind finding a fraction of a number, such as 10/8 of 58, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{10}{8}=\frac{x}{58}$ (where x represents 10/8 of 58)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $10\times 58=8x$
2. Which gives: $580=8x$
3. Divide both sides by 8 to isolate x: $\frac{580}{8}=\frac{8x}{8}$
4. Which gives the result: $\frac{580}{8}=x$ (or $\frac{145}{2}=x$)

Thus, 10/8 of 58 is equal to 145/2 (or 72.5 in its decimal form).