What is 1/4 of 98?

How to calculate 1/4 of 98?

1. Multiply the whole number by the numerator of the fraction: 98 × 1 = 98
2. Divide this result by denominator of the fraction: 98/4 = 24.5
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 98/2 = 49
   • 4/2 = 2
4. Which gives: 49/2

Since 49/2 is an improper fraction, the result could also be expressed as a mixed number: 24 1/2

How does it work?

The principle behind finding a fraction of a number, such as 1/4 of 98, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{1}{4}=\frac{x}{98}$ (where x represents 1/4 of 98)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $1\times 98=4x$
2. Which gives: $98=4x$
3. Divide both sides by 4 to isolate x: $\frac{98}{4}=\frac{4x}{4}$
4. Which gives the result: $\frac{98}{4}=x$ (or $\frac{49}{2}=x$)

Thus, 1/4 of 98 is equal to 49/2 (or 24.5 in its decimal form).