What is 10/8 of 26?

How to calculate 10/8 of 26?

1. Multiply the whole number by the numerator of the fraction: 26 × 10 = 260
2. Divide this result by denominator of the fraction: 260/8 = 32.5
3. Simplify by dividing both the numerator and denominator by their GCD (4):
   • 260/4 = 65
   • 8/4 = 2
4. Which gives: 65/2

Since 65/2 is an improper fraction, the result could also be expressed as a mixed number: 32 1/2

How does it work?

The principle behind finding a fraction of a number, such as 10/8 of 26, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{10}{8}=\frac{x}{26}$ (where x represents 10/8 of 26)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $10\times 26=8x$
2. Which gives: $260=8x$
3. Divide both sides by 8 to isolate x: $\frac{260}{8}=\frac{8x}{8}$
4. Which gives the result: $\frac{260}{8}=x$ (or $\frac{65}{2}=x$)

Thus, 10/8 of 26 is equal to 65/2 (or 32.5 in its decimal form).