What is 6/10 of 76?

How to calculate 6/10 of 76?

1. Multiply the whole number by the numerator of the fraction: 76 × 6 = 456
2. Divide this result by denominator of the fraction: 456/10 = 45.6
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 456/2 = 228
   • 10/2 = 5
4. Which gives: 228/5

Since 228/5 is an improper fraction, the result could also be expressed as a mixed number: 45 3/5

How does it work?

The principle behind finding a fraction of a number, such as 6/10 of 76, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{6}{10}=\frac{x}{76}$ (where x represents 6/10 of 76)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $6\times 76=10x$
2. Which gives: $456=10x$
3. Divide both sides by 10 to isolate x: $\frac{456}{10}=\frac{10x}{10}$
4. Which gives the result: $\frac{456}{10}=x$ (or $\frac{228}{5}=x$)

Thus, 6/10 of 76 is equal to 228/5 (or 45.6 in its decimal form).