What is 7/6 of 21?

How to calculate 7/6 of 21?

1. Multiply the whole number by the numerator of the fraction: 21 × 7 = 147
2. Divide this result by denominator of the fraction: 147/6 = 24.5
3. Simplify by dividing both the numerator and denominator by their GCD (3):
   • 147/3 = 49
   • 6/3 = 2
4. Which gives: 49/2

Since 49/2 is an improper fraction, the result could also be expressed as a mixed number: 24 1/2

How does it work?

The principle behind finding a fraction of a number, such as 7/6 of 21, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{7}{6}=\frac{x}{21}$ (where x represents 7/6 of 21)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $7\times 21=6x$
2. Which gives: $147=6x$
3. Divide both sides by 6 to isolate x: $\frac{147}{6}=\frac{6x}{6}$
4. Which gives the result: $\frac{147}{6}=x$ (or $\frac{49}{2}=x$)

Thus, 7/6 of 21 is equal to 49/2 (or 24.5 in its decimal form).