What is 7/6 of 63?

How to calculate 7/6 of 63?

1. Multiply the whole number by the numerator of the fraction: 63 × 7 = 441
2. Divide this result by denominator of the fraction: 441/6 = 73.5
3. Simplify by dividing both the numerator and denominator by their GCD (3):
   • 441/3 = 147
   • 6/3 = 2
4. Which gives: 147/2

Since 147/2 is an improper fraction, the result could also be expressed as a mixed number: 73 1/2

How does it work?

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

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

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $7\times 63=6x$
2. Which gives: $441=6x$
3. Divide both sides by 6 to isolate x: $\frac{441}{6}=\frac{6x}{6}$
4. Which gives the result: $\frac{441}{6}=x$ (or $\frac{147}{2}=x$)

Thus, 7/6 of 63 is equal to 147/2 (or 73.5 in its decimal form).