What is 4/8 of 87?

How to calculate 4/8 of 87?

1. Multiply the whole number by the numerator of the fraction: 87 × 4 = 348
2. Divide this result by denominator of the fraction: 348/8 = 43.5
3. Simplify by dividing both the numerator and denominator by their GCD (4):
   • 348/4 = 87
   • 8/4 = 2
4. Which gives: 87/2

Since 87/2 is an improper fraction, the result could also be expressed as a mixed number: 43 1/2

How does it work?

The principle behind finding a fraction of a number, such as 4/8 of 87, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{4}{8}=\frac{x}{87}$ (where x represents 4/8 of 87)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $4\times 87=8x$
2. Which gives: $348=8x$
3. Divide both sides by 8 to isolate x: $\frac{348}{8}=\frac{8x}{8}$
4. Which gives the result: $\frac{348}{8}=x$ (or $\frac{87}{2}=x$)

Thus, 4/8 of 87 is equal to 87/2 (or 43.5 in its decimal form).