What is 7/6 of 93?

How to calculate 7/6 of 93?

1. Multiply the whole number by the numerator of the fraction: 93 × 7 = 651
2. Divide this result by denominator of the fraction: 651/6 = 108.5
3. Simplify by dividing both the numerator and denominator by their GCD (3):
   • 651/3 = 217
   • 6/3 = 2
4. Which gives: 217/2

Since 217/2 is an improper fraction, the result could also be expressed as a mixed number: 108 1/2

How does it work?

The principle behind finding a fraction of a number, such as 7/6 of 93, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{7}{6}=\frac{x}{93}$ (where x represents 7/6 of 93)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $7\times 93=6x$
2. Which gives: $651=6x$
3. Divide both sides by 6 to isolate x: $\frac{651}{6}=\frac{6x}{6}$
4. Which gives the result: $\frac{651}{6}=x$ (or $\frac{217}{2}=x$)

Thus, 7/6 of 93 is equal to 217/2 (or 108.5 in its decimal form).