What is 7/4 of 56?

How to calculate 7/4 of 56?

1. Multiply the whole number by the numerator of the fraction: 56 × 7 = 392
2. Divide this result by denominator of the fraction: 392/4 = 98
3. Simplify by dividing both the numerator and denominator by their GCD (4):
   • 392/4 = 98
   • 4/4 = 1
4. Which gives: 98/1

How does it work?

The principle behind finding a fraction of a number, such as 7/4 of 56, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{7}{4}=\frac{x}{56}$ (where x represents 7/4 of 56)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $7\times 56=4x$
2. Which gives: $392=4x$
3. Divide both sides by 4 to isolate x: $\frac{392}{4}=\frac{4x}{4}$
4. Which gives the result: $\frac{392}{4}=x$ (or $\frac{98}{1}=x$)

Thus, 7/4 of 56 is equal to 98/1 (or 98 in its decimal form).