# What is 1/2 of 61?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 1/2 of 61? We'll show you a straightforward method to achieve that.

## How to calculate 1/2 of 61?

- Multiply the whole number by the numerator of the fraction: 61 × 1 = 61
- Divide this result by denominator of the fraction: 61/2 =
**30.5**

Since 61/2 is an improper fraction, the result could also be expressed as a mixed number: **30 1/2**

## How does it work?

The principle behind finding a fraction of a number, such as 1/2 of 61, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{1}{2}=\frac{x}{61}$ (where `x` represents 1/2 of 61)

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

Thus, 1/2 of 61 is equal to **61/2** (or 30.5 in its decimal form).