What is 7/4 of 88?

How to calculate 7/4 of 88?

1. Multiply the whole number by the numerator of the fraction: 88 × 7 = 616
2. Divide this result by denominator of the fraction: 616/4 = 154
3. Simplify by dividing both the numerator and denominator by their GCD (4):
   • 616/4 = 154
   • 4/4 = 1
4. Which gives: 154/1

How does it work?

The principle behind finding a fraction of a number, such as 7/4 of 88, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{7}{4}=\frac{x}{88}$ (where x represents 7/4 of 88)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $7\times 88=4x$
2. Which gives: $616=4x$
3. Divide both sides by 4 to isolate x: $\frac{616}{4}=\frac{4x}{4}$
4. Which gives the result: $\frac{616}{4}=x$ (or $\frac{154}{1}=x$)

Thus, 7/4 of 88 is equal to 154/1 (or 154 in its decimal form).