What is 7/6 of 96?

How to calculate 7/6 of 96?

1. Multiply the whole number by the numerator of the fraction: 96 × 7 = 672
2. Divide this result by denominator of the fraction: 672/6 = 112
3. Simplify by dividing both the numerator and denominator by their GCD (6):
   • 672/6 = 112
   • 6/6 = 1
4. Which gives: 112/1

How does it work?

The principle behind finding a fraction of a number, such as 7/6 of 96, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{7}{6}=\frac{x}{96}$ (where x represents 7/6 of 96)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $7\times 96=6x$
2. Which gives: $672=6x$
3. Divide both sides by 6 to isolate x: $\frac{672}{6}=\frac{6x}{6}$
4. Which gives the result: $\frac{672}{6}=x$ (or $\frac{112}{1}=x$)

Thus, 7/6 of 96 is equal to 112/1 (or 112 in its decimal form).