What is 1/4 of 46?

How to calculate 1/4 of 46?

1. Multiply the whole number by the numerator of the fraction: 46 × 1 = 46
2. Divide this result by denominator of the fraction: 46/4 = 11.5
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 46/2 = 23
   • 4/2 = 2
4. Which gives: 23/2

Since 23/2 is an improper fraction, the result could also be expressed as a mixed number: 11 1/2

How does it work?

The principle behind finding a fraction of a number, such as 1/4 of 46, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{1}{4}=\frac{x}{46}$ (where x represents 1/4 of 46)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $1\times 46=4x$
2. Which gives: $46=4x$
3. Divide both sides by 4 to isolate x: $\frac{46}{4}=\frac{4x}{4}$
4. Which gives the result: $\frac{46}{4}=x$ (or $\frac{23}{2}=x$)

Thus, 1/4 of 46 is equal to 23/2 (or 11.5 in its decimal form).