What is 10/7 of 94?

How to calculate 10/7 of 94?

1. Multiply the whole number by the numerator of the fraction: 94 × 10 = 940
2. Divide this result by denominator of the fraction: 940/7 = 134.28571428571

Since 940/7 is an improper fraction, the result could also be expressed as a mixed number: 134 2/7

How does it work?

The principle behind finding a fraction of a number, such as 10/7 of 94, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{10}{7}=\frac{x}{94}$ (where x represents 10/7 of 94)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $10\times 94=7x$
2. Which gives: $940=7x$
3. Divide both sides by 7 to isolate x: $\frac{940}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{940}{7}=x$

Thus, 10/7 of 94 is equal to 940/7 (or 134.28571428571 in its decimal form).