What is 10/7 of 49?

How to calculate 10/7 of 49?

1. Multiply the whole number by the numerator of the fraction: 49 × 10 = 490
2. Divide this result by denominator of the fraction: 490/7 = 70
3. Simplify by dividing both the numerator and denominator by their GCD (7):
   • 490/7 = 70
   • 7/7 = 1
4. Which gives: 70/1

How does it work?

The principle behind finding a fraction of a number, such as 10/7 of 49, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{10}{7}=\frac{x}{49}$ (where x represents 10/7 of 49)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $10\times 49=7x$
2. Which gives: $490=7x$
3. Divide both sides by 7 to isolate x: $\frac{490}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{490}{7}=x$ (or $\frac{70}{1}=x$)

Thus, 10/7 of 49 is equal to 70/1 (or 70 in its decimal form).