What is 7/9 of 54?

How to calculate 7/9 of 54?

1. Multiply the whole number by the numerator of the fraction: 54 × 7 = 378
2. Divide this result by denominator of the fraction: 378/9 = 42
3. Simplify by dividing both the numerator and denominator by their GCD (9):
   • 378/9 = 42
   • 9/9 = 1
4. Which gives: 42/1

How does it work?

The principle behind finding a fraction of a number, such as 7/9 of 54, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{7}{9}=\frac{x}{54}$ (where x represents 7/9 of 54)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $7\times 54=9x$
2. Which gives: $378=9x$
3. Divide both sides by 9 to isolate x: $\frac{378}{9}=\frac{9x}{9}$
4. Which gives the result: $\frac{378}{9}=x$ (or $\frac{42}{1}=x$)

Thus, 7/9 of 54 is equal to 42/1 (or 42 in its decimal form).