What is 4/8 of 53?

How to calculate 4/8 of 53?

1. Multiply the whole number by the numerator of the fraction: 53 × 4 = 212
2. Divide this result by denominator of the fraction: 212/8 = 26.5
3. Simplify by dividing both the numerator and denominator by their GCD (4):
   • 212/4 = 53
   • 8/4 = 2
4. Which gives: 53/2

Since 53/2 is an improper fraction, the result could also be expressed as a mixed number: 26 1/2

How does it work?

The principle behind finding a fraction of a number, such as 4/8 of 53, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{4}{8}=\frac{x}{53}$ (where x represents 4/8 of 53)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $4\times 53=8x$
2. Which gives: $212=8x$
3. Divide both sides by 8 to isolate x: $\frac{212}{8}=\frac{8x}{8}$
4. Which gives the result: $\frac{212}{8}=x$ (or $\frac{53}{2}=x$)

Thus, 4/8 of 53 is equal to 53/2 (or 26.5 in its decimal form).