What is 7/6 of 76?

How to calculate 7/6 of 76?

1. Multiply the whole number by the numerator of the fraction: 76 × 7 = 532
2. Divide this result by denominator of the fraction: 532/6 = 88.666666666667
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 532/2 = 266
   • 6/2 = 3
4. Which gives: 266/3

Since 266/3 is an improper fraction, the result could also be expressed as a mixed number: 88 2/3

How does it work?

The principle behind finding a fraction of a number, such as 7/6 of 76, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{7}{6}=\frac{x}{76}$ (where x represents 7/6 of 76)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $7\times 76=6x$
2. Which gives: $532=6x$
3. Divide both sides by 6 to isolate x: $\frac{532}{6}=\frac{6x}{6}$
4. Which gives the result: $\frac{532}{6}=x$ (or $\frac{266}{3}=x$)

Thus, 7/6 of 76 is equal to 266/3 (or 88.666666666667 in its decimal form).