What is 10/8 of 97?

How to calculate 10/8 of 97?

1. Multiply the whole number by the numerator of the fraction: 97 × 10 = 970
2. Divide this result by denominator of the fraction: 970/8 = 121.25
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 970/2 = 485
   • 8/2 = 4
4. Which gives: 485/4

Since 485/4 is an improper fraction, the result could also be expressed as a mixed number: 121 1/4

How does it work?

The principle behind finding a fraction of a number, such as 10/8 of 97, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{10}{8}=\frac{x}{97}$ (where x represents 10/8 of 97)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $10\times 97=8x$
2. Which gives: $970=8x$
3. Divide both sides by 8 to isolate x: $\frac{970}{8}=\frac{8x}{8}$
4. Which gives the result: $\frac{970}{8}=x$ (or $\frac{485}{4}=x$)

Thus, 10/8 of 97 is equal to 485/4 (or 121.25 in its decimal form).