What is 10/6 of 88?

How to calculate 10/6 of 88?

1. Multiply the whole number by the numerator of the fraction: 88 × 10 = 880
2. Divide this result by denominator of the fraction: 880/6 = 146.66666666667
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 880/2 = 440
   • 6/2 = 3
4. Which gives: 440/3

Since 440/3 is an improper fraction, the result could also be expressed as a mixed number: 146 2/3

How does it work?

The principle behind finding a fraction of a number, such as 10/6 of 88, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{10}{6}=\frac{x}{88}$ (where x represents 10/6 of 88)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $10\times 88=6x$
2. Which gives: $880=6x$
3. Divide both sides by 6 to isolate x: $\frac{880}{6}=\frac{6x}{6}$
4. Which gives the result: $\frac{880}{6}=x$ (or $\frac{440}{3}=x$)

Thus, 10/6 of 88 is equal to 440/3 (or 146.66666666667 in its decimal form).