What is 2/9 of 98?

How to calculate 2/9 of 98?

1. Multiply the whole number by the numerator of the fraction: 98 × 2 = 196
2. Divide this result by denominator of the fraction: 196/9 = 21.777777777778

Since 196/9 is an improper fraction, the result could also be expressed as a mixed number: 21 7/9

How does it work?

The principle behind finding a fraction of a number, such as 2/9 of 98, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{2}{9}=\frac{x}{98}$ (where x represents 2/9 of 98)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $2\times 98=9x$
2. Which gives: $196=9x$
3. Divide both sides by 9 to isolate x: $\frac{196}{9}=\frac{9x}{9}$
4. Which gives the result: $\frac{196}{9}=x$

Thus, 2/9 of 98 is equal to 196/9 (or 21.777777777778 in its decimal form).