What is 6/10 of 98?

How to calculate 6/10 of 98?

1. Multiply the whole number by the numerator of the fraction: 98 × 6 = 588
2. Divide this result by denominator of the fraction: 588/10 = 58.8
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 588/2 = 294
   • 10/2 = 5
4. Which gives: 294/5

Since 294/5 is an improper fraction, the result could also be expressed as a mixed number: 58 4/5

How does it work?

The principle behind finding a fraction of a number, such as 6/10 of 98, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{6}{10}=\frac{x}{98}$ (where x represents 6/10 of 98)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $6\times 98=10x$
2. Which gives: $588=10x$
3. Divide both sides by 10 to isolate x: $\frac{588}{10}=\frac{10x}{10}$
4. Which gives the result: $\frac{588}{10}=x$ (or $\frac{294}{5}=x$)

Thus, 6/10 of 98 is equal to 294/5 (or 58.8 in its decimal form).