What is 1/8 of 61?

How to calculate 1/8 of 61?

1. Multiply the whole number by the numerator of the fraction: 61 × 1 = 61
2. Divide this result by denominator of the fraction: 61/8 = 7.625

Since 61/8 is an improper fraction, the result could also be expressed as a mixed number: 7 5/8

How does it work?

The principle behind finding a fraction of a number, such as 1/8 of 61, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{1}{8}=\frac{x}{61}$ (where x represents 1/8 of 61)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $1\times 61=8x$
2. Which gives: $61=8x$
3. Divide both sides by 8 to isolate x: $\frac{61}{8}=\frac{8x}{8}$
4. Which gives the result: $\frac{61}{8}=x$

Thus, 1/8 of 61 is equal to 61/8 (or 7.625 in its decimal form).