What is 5/8 of 14?

How to calculate 5/8 of 14?

1. Multiply the whole number by the numerator of the fraction: 14 × 5 = 70
2. Divide this result by denominator of the fraction: 70/8 = 8.75
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 70/2 = 35
   • 8/2 = 4
4. Which gives: 35/4

Since 35/4 is an improper fraction, the result could also be expressed as a mixed number: 8 3/4

How does it work?

The principle behind finding a fraction of a number, such as 5/8 of 14, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{5}{8}=\frac{x}{14}$ (where x represents 5/8 of 14)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $5\times 14=8x$
2. Which gives: $70=8x$
3. Divide both sides by 8 to isolate x: $\frac{70}{8}=\frac{8x}{8}$
4. Which gives the result: $\frac{70}{8}=x$ (or $\frac{35}{4}=x$)

Thus, 5/8 of 14 is equal to 35/4 (or 8.75 in its decimal form).