What is 7/7 of 86?

How to calculate 7/7 of 86?

1. Multiply the whole number by the numerator of the fraction: 86 × 7 = 602
2. Divide this result by denominator of the fraction: 602/7 = 86
3. Simplify by dividing both the numerator and denominator by their GCD (7):
   • 602/7 = 86
   • 7/7 = 1
4. Which gives: 86/1

How does it work?

The principle behind finding a fraction of a number, such as 7/7 of 86, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{7}{7}=\frac{x}{86}$ (where x represents 7/7 of 86)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $7\times 86=7x$
2. Which gives: $602=7x$
3. Divide both sides by 7 to isolate x: $\frac{602}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{602}{7}=x$ (or $\frac{86}{1}=x$)

Thus, 7/7 of 86 is equal to 86/1 (or 86 in its decimal form).