What is 2/8 of 49?

How to calculate 2/8 of 49?

1. Multiply the whole number by the numerator of the fraction: 49 × 2 = 98
2. Divide this result by denominator of the fraction: 98/8 = 12.25
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 98/2 = 49
   • 8/2 = 4
4. Which gives: 49/4

Since 49/4 is an improper fraction, the result could also be expressed as a mixed number: 12 1/4

How does it work?

The principle behind finding a fraction of a number, such as 2/8 of 49, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{2}{8}=\frac{x}{49}$ (where x represents 2/8 of 49)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $2\times 49=8x$
2. Which gives: $98=8x$
3. Divide both sides by 8 to isolate x: $\frac{98}{8}=\frac{8x}{8}$
4. Which gives the result: $\frac{98}{8}=x$ (or $\frac{49}{4}=x$)

Thus, 2/8 of 49 is equal to 49/4 (or 12.25 in its decimal form).