What is 5/7 of 43?

How to calculate 5/7 of 43?

1. Multiply the whole number by the numerator of the fraction: 43 × 5 = 215
2. Divide this result by denominator of the fraction: 215/7 = 30.714285714286

Since 215/7 is an improper fraction, the result could also be expressed as a mixed number: 30 5/7

How does it work?

The principle behind finding a fraction of a number, such as 5/7 of 43, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{5}{7}=\frac{x}{43}$ (where x represents 5/7 of 43)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $5\times 43=7x$
2. Which gives: $215=7x$
3. Divide both sides by 7 to isolate x: $\frac{215}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{215}{7}=x$

Thus, 5/7 of 43 is equal to 215/7 (or 30.714285714286 in its decimal form).