What is 7/6 of 56?

How to calculate 7/6 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: 392/6 = 65.333333333333
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 392/2 = 196
   • 6/2 = 3
4. Which gives: 196/3

Since 196/3 is an improper fraction, the result could also be expressed as a mixed number: 65 1/3

How does it work?

The principle behind finding a fraction of a number, such as 7/6 of 56, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{7}{6}=\frac{x}{56}$ (where x represents 7/6 of 56)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $7\times 56=6x$
2. Which gives: $392=6x$
3. Divide both sides by 6 to isolate x: $\frac{392}{6}=\frac{6x}{6}$
4. Which gives the result: $\frac{392}{6}=x$ (or $\frac{196}{3}=x$)

Thus, 7/6 of 56 is equal to 196/3 (or 65.333333333333 in its decimal form).