What is 4/10 of 37?

How to calculate 4/10 of 37?

1. Multiply the whole number by the numerator of the fraction: 37 × 4 = 148
2. Divide this result by denominator of the fraction: 148/10 = 14.8
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 148/2 = 74
   • 10/2 = 5
4. Which gives: 74/5

Since 74/5 is an improper fraction, the result could also be expressed as a mixed number: 14 4/5

How does it work?

The principle behind finding a fraction of a number, such as 4/10 of 37, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{4}{10}=\frac{x}{37}$ (where x represents 4/10 of 37)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $4\times 37=10x$
2. Which gives: $148=10x$
3. Divide both sides by 10 to isolate x: $\frac{148}{10}=\frac{10x}{10}$
4. Which gives the result: $\frac{148}{10}=x$ (or $\frac{74}{5}=x$)

Thus, 4/10 of 37 is equal to 74/5 (or 14.8 in its decimal form).