What is 6/8 of 79?

How to calculate 6/8 of 79?

1. Multiply the whole number by the numerator of the fraction: 79 × 6 = 474
2. Divide this result by denominator of the fraction: 474/8 = 59.25
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 474/2 = 237
   • 8/2 = 4
4. Which gives: 237/4

Since 237/4 is an improper fraction, the result could also be expressed as a mixed number: 59 1/4

How does it work?

The principle behind finding a fraction of a number, such as 6/8 of 79, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{6}{8}=\frac{x}{79}$ (where x represents 6/8 of 79)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $6\times 79=8x$
2. Which gives: $474=8x$
3. Divide both sides by 8 to isolate x: $\frac{474}{8}=\frac{8x}{8}$
4. Which gives the result: $\frac{474}{8}=x$ (or $\frac{237}{4}=x$)

Thus, 6/8 of 79 is equal to 237/4 (or 59.25 in its decimal form).