What is 6/7 of 63?

How to calculate 6/7 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: 378/7 = 54
3. Simplify by dividing both the numerator and denominator by their GCD (7):
   • 378/7 = 54
   • 7/7 = 1
4. Which gives: 54/1

How does it work?

The principle behind finding a fraction of a number, such as 6/7 of 63, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{6}{7}=\frac{x}{63}$ (where x represents 6/7 of 63)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $6\times 63=7x$
2. Which gives: $378=7x$
3. Divide both sides by 7 to isolate x: $\frac{378}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{378}{7}=x$ (or $\frac{54}{1}=x$)

Thus, 6/7 of 63 is equal to 54/1 (or 54 in its decimal form).