What is 6/10 of 79?

How to calculate 6/10 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: 474/10 = 47.4
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 474/2 = 237
   • 10/2 = 5
4. Which gives: 237/5

Since 237/5 is an improper fraction, the result could also be expressed as a mixed number: 47 2/5

How does it work?

The principle behind finding a fraction of a number, such as 6/10 of 79, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{6}{10}=\frac{x}{79}$ (where x represents 6/10 of 79)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $6\times 79=10x$
2. Which gives: $474=10x$
3. Divide both sides by 10 to isolate x: $\frac{474}{10}=\frac{10x}{10}$
4. Which gives the result: $\frac{474}{10}=x$ (or $\frac{237}{5}=x$)

Thus, 6/10 of 79 is equal to 237/5 (or 47.4 in its decimal form).