What is 3/8 of 98?

How to calculate 3/8 of 98?

1. Multiply the whole number by the numerator of the fraction: 98 × 3 = 294
2. Divide this result by denominator of the fraction: 294/8 = 36.75
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 294/2 = 147
   • 8/2 = 4
4. Which gives: 147/4

Since 147/4 is an improper fraction, the result could also be expressed as a mixed number: 36 3/4

How does it work?

The principle behind finding a fraction of a number, such as 3/8 of 98, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{3}{8}=\frac{x}{98}$ (where x represents 3/8 of 98)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $3\times 98=8x$
2. Which gives: $294=8x$
3. Divide both sides by 8 to isolate x: $\frac{294}{8}=\frac{8x}{8}$
4. Which gives the result: $\frac{294}{8}=x$ (or $\frac{147}{4}=x$)

Thus, 3/8 of 98 is equal to 147/4 (or 36.75 in its decimal form).