What is 7/8 of 98?

How to calculate 7/8 of 98?

1. Multiply the whole number by the numerator of the fraction: 98 × 7 = 686
2. Divide this result by denominator of the fraction: 686/8 = 85.75
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 686/2 = 343
   • 8/2 = 4
4. Which gives: 343/4

Since 343/4 is an improper fraction, the result could also be expressed as a mixed number: 85 3/4

How does it work?

The principle behind finding a fraction of a number, such as 7/8 of 98, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{7}{8}=\frac{x}{98}$ (where x represents 7/8 of 98)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $7\times 98=8x$
2. Which gives: $686=8x$
3. Divide both sides by 8 to isolate x: $\frac{686}{8}=\frac{8x}{8}$
4. Which gives the result: $\frac{686}{8}=x$ (or $\frac{343}{4}=x$)

Thus, 7/8 of 98 is equal to 343/4 (or 85.75 in its decimal form).