What is 7/7 of 74?

How to calculate 7/7 of 74?

1. Multiply the whole number by the numerator of the fraction: 74 × 7 = 518
2. Divide this result by denominator of the fraction: 518/7 = 74
3. Simplify by dividing both the numerator and denominator by their GCD (7):
   • 518/7 = 74
   • 7/7 = 1
4. Which gives: 74/1

How does it work?

The principle behind finding a fraction of a number, such as 7/7 of 74, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{7}{7}=\frac{x}{74}$ (where x represents 7/7 of 74)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $7\times 74=7x$
2. Which gives: $518=7x$
3. Divide both sides by 7 to isolate x: $\frac{518}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{518}{7}=x$ (or $\frac{74}{1}=x$)

Thus, 7/7 of 74 is equal to 74/1 (or 74 in its decimal form).