What is 3/8 of 44?

How to calculate 3/8 of 44?

1. Multiply the whole number by the numerator of the fraction: 44 × 3 = 132
2. Divide this result by denominator of the fraction: 132/8 = 16.5
3. Simplify by dividing both the numerator and denominator by their GCD (4):
   • 132/4 = 33
   • 8/4 = 2
4. Which gives: 33/2

Since 33/2 is an improper fraction, the result could also be expressed as a mixed number: 16 1/2

How does it work?

The principle behind finding a fraction of a number, such as 3/8 of 44, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{3}{8}=\frac{x}{44}$ (where x represents 3/8 of 44)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $3\times 44=8x$
2. Which gives: $132=8x$
3. Divide both sides by 8 to isolate x: $\frac{132}{8}=\frac{8x}{8}$
4. Which gives the result: $\frac{132}{8}=x$ (or $\frac{33}{2}=x$)

Thus, 3/8 of 44 is equal to 33/2 (or 16.5 in its decimal form).