What is 10/8 of 19?

How to calculate 10/8 of 19?

1. Multiply the whole number by the numerator of the fraction: 19 × 10 = 190
2. Divide this result by denominator of the fraction: 190/8 = 23.75
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 190/2 = 95
   • 8/2 = 4
4. Which gives: 95/4

Since 95/4 is an improper fraction, the result could also be expressed as a mixed number: 23 3/4

How does it work?

The principle behind finding a fraction of a number, such as 10/8 of 19, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{10}{8}=\frac{x}{19}$ (where x represents 10/8 of 19)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $10\times 19=8x$
2. Which gives: $190=8x$
3. Divide both sides by 8 to isolate x: $\frac{190}{8}=\frac{8x}{8}$
4. Which gives the result: $\frac{190}{8}=x$ (or $\frac{95}{4}=x$)

Thus, 10/8 of 19 is equal to 95/4 (or 23.75 in its decimal form).