What is 3/8 of 22?

How to calculate 3/8 of 22?

1. Multiply the whole number by the numerator of the fraction: 22 × 3 = 66
2. Divide this result by denominator of the fraction: 66/8 = 8.25
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 66/2 = 33
   • 8/2 = 4
4. Which gives: 33/4

Since 33/4 is an improper fraction, the result could also be expressed as a mixed number: 8 1/4

How does it work?

The principle behind finding a fraction of a number, such as 3/8 of 22, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{3}{8}=\frac{x}{22}$ (where x represents 3/8 of 22)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $3\times 22=8x$
2. Which gives: $66=8x$
3. Divide both sides by 8 to isolate x: $\frac{66}{8}=\frac{8x}{8}$
4. Which gives the result: $\frac{66}{8}=x$ (or $\frac{33}{4}=x$)

Thus, 3/8 of 22 is equal to 33/4 (or 8.25 in its decimal form).