What is 7/9 of 7?

How to calculate 7/9 of 7?

1. Multiply the whole number by the numerator of the fraction: 7 × 7 = 49
2. Divide this result by denominator of the fraction: 49/9 = 5.4444444444444

Since 49/9 is an improper fraction, the result could also be expressed as a mixed number: 5 4/9

How does it work?

The principle behind finding a fraction of a number, such as 7/9 of 7, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{7}{9}=\frac{x}{7}$ (where x represents 7/9 of 7)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $7\times 7=9x$
2. Which gives: $49=9x$
3. Divide both sides by 9 to isolate x: $\frac{49}{9}=\frac{9x}{9}$
4. Which gives the result: $\frac{49}{9}=x$

Thus, 7/9 of 7 is equal to 49/9 (or 5.4444444444444 in its decimal form).