What is 10/10 of 61?

How to calculate 10/10 of 61?

1. Multiply the whole number by the numerator of the fraction: 61 × 10 = 610
2. Divide this result by denominator of the fraction: 610/10 = 61
3. Simplify by dividing both the numerator and denominator by their GCD (10):
   • 610/10 = 61
   • 10/10 = 1
4. Which gives: 61/1

How does it work?

The principle behind finding a fraction of a number, such as 10/10 of 61, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{10}{10}=\frac{x}{61}$ (where x represents 10/10 of 61)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $10\times 61=10x$
2. Which gives: $610=10x$
3. Divide both sides by 10 to isolate x: $\frac{610}{10}=\frac{10x}{10}$
4. Which gives the result: $\frac{610}{10}=x$ (or $\frac{61}{1}=x$)

Thus, 10/10 of 61 is equal to 61/1 (or 61 in its decimal form).