What is 6/10 of 63?

How to calculate 6/10 of 63?

1. Multiply the whole number by the numerator of the fraction: 63 × 6 = 378
2. Divide this result by denominator of the fraction: 378/10 = 37.8
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 378/2 = 189
   • 10/2 = 5
4. Which gives: 189/5

Since 189/5 is an improper fraction, the result could also be expressed as a mixed number: 37 4/5

How does it work?

The principle behind finding a fraction of a number, such as 6/10 of 63, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{6}{10}=\frac{x}{63}$ (where x represents 6/10 of 63)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $6\times 63=10x$
2. Which gives: $378=10x$
3. Divide both sides by 10 to isolate x: $\frac{378}{10}=\frac{10x}{10}$
4. Which gives the result: $\frac{378}{10}=x$ (or $\frac{189}{5}=x$)

Thus, 6/10 of 63 is equal to 189/5 (or 37.8 in its decimal form).