What is 4/7 of 62?

How to calculate 4/7 of 62?

1. Multiply the whole number by the numerator of the fraction: 62 × 4 = 248
2. Divide this result by denominator of the fraction: 248/7 = 35.428571428571

Since 248/7 is an improper fraction, the result could also be expressed as a mixed number: 35 3/7

How does it work?

The principle behind finding a fraction of a number, such as 4/7 of 62, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{4}{7}=\frac{x}{62}$ (where x represents 4/7 of 62)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $4\times 62=7x$
2. Which gives: $248=7x$
3. Divide both sides by 7 to isolate x: $\frac{248}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{248}{7}=x$

Thus, 4/7 of 62 is equal to 248/7 (or 35.428571428571 in its decimal form).