What is 9/6 of 58?

How to calculate 9/6 of 58?

1. Multiply the whole number by the numerator of the fraction: 58 × 9 = 522
2. Divide this result by denominator of the fraction: 522/6 = 87
3. Simplify by dividing both the numerator and denominator by their GCD (6):
   • 522/6 = 87
   • 6/6 = 1
4. Which gives: 87/1

How does it work?

The principle behind finding a fraction of a number, such as 9/6 of 58, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{9}{6}=\frac{x}{58}$ (where x represents 9/6 of 58)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $9\times 58=6x$
2. Which gives: $522=6x$
3. Divide both sides by 6 to isolate x: $\frac{522}{6}=\frac{6x}{6}$
4. Which gives the result: $\frac{522}{6}=x$ (or $\frac{87}{1}=x$)

Thus, 9/6 of 58 is equal to 87/1 (or 87 in its decimal form).