What is 8/7 of 37?

How to calculate 8/7 of 37?

1. Multiply the whole number by the numerator of the fraction: 37 × 8 = 296
2. Divide this result by denominator of the fraction: 296/7 = 42.285714285714

Since 296/7 is an improper fraction, the result could also be expressed as a mixed number: 42 2/7

How does it work?

The principle behind finding a fraction of a number, such as 8/7 of 37, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{8}{7}=\frac{x}{37}$ (where x represents 8/7 of 37)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $8\times 37=7x$
2. Which gives: $296=7x$
3. Divide both sides by 7 to isolate x: $\frac{296}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{296}{7}=x$

Thus, 8/7 of 37 is equal to 296/7 (or 42.285714285714 in its decimal form).