What is 7/4 of 96?

How to calculate 7/4 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: 672/4 = 168
3. Simplify by dividing both the numerator and denominator by their GCD (4):
   • 672/4 = 168
   • 4/4 = 1
4. Which gives: 168/1

How does it work?

The principle behind finding a fraction of a number, such as 7/4 of 96, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{7}{4}=\frac{x}{96}$ (where x represents 7/4 of 96)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $7\times 96=4x$
2. Which gives: $672=4x$
3. Divide both sides by 4 to isolate x: $\frac{672}{4}=\frac{4x}{4}$
4. Which gives the result: $\frac{672}{4}=x$ (or $\frac{168}{1}=x$)

Thus, 7/4 of 96 is equal to 168/1 (or 168 in its decimal form).