What is 4/10 of 38?

How to calculate 4/10 of 38?

1. Multiply the whole number by the numerator of the fraction: 38 × 4 = 152
2. Divide this result by denominator of the fraction: 152/10 = 15.2
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 152/2 = 76
   • 10/2 = 5
4. Which gives: 76/5

Since 76/5 is an improper fraction, the result could also be expressed as a mixed number: 15 1/5

How does it work?

The principle behind finding a fraction of a number, such as 4/10 of 38, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{4}{10}=\frac{x}{38}$ (where x represents 4/10 of 38)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $4\times 38=10x$
2. Which gives: $152=10x$
3. Divide both sides by 10 to isolate x: $\frac{152}{10}=\frac{10x}{10}$
4. Which gives the result: $\frac{152}{10}=x$ (or $\frac{76}{5}=x$)

Thus, 4/10 of 38 is equal to 76/5 (or 15.2 in its decimal form).