What is 3/7 of 63?

How to calculate 3/7 of 63?

1. Multiply the whole number by the numerator of the fraction: 63 × 3 = 189
2. Divide this result by denominator of the fraction: 189/7 = 27
3. Simplify by dividing both the numerator and denominator by their GCD (7):
   • 189/7 = 27
   • 7/7 = 1
4. Which gives: 27/1

How does it work?

The principle behind finding a fraction of a number, such as 3/7 of 63, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{3}{7}=\frac{x}{63}$ (where x represents 3/7 of 63)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $3\times 63=7x$
2. Which gives: $189=7x$
3. Divide both sides by 7 to isolate x: $\frac{189}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{189}{7}=x$ (or $\frac{27}{1}=x$)

Thus, 3/7 of 63 is equal to 27/1 (or 27 in its decimal form).