What is 3/10 of 26?

How to calculate 3/10 of 26?

1. Multiply the whole number by the numerator of the fraction: 26 × 3 = 78
2. Divide this result by denominator of the fraction: 78/10 = 7.8
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 78/2 = 39
   • 10/2 = 5
4. Which gives: 39/5

Since 39/5 is an improper fraction, the result could also be expressed as a mixed number: 7 4/5

How does it work?

The principle behind finding a fraction of a number, such as 3/10 of 26, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{3}{10}=\frac{x}{26}$ (where x represents 3/10 of 26)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $3\times 26=10x$
2. Which gives: $78=10x$
3. Divide both sides by 10 to isolate x: $\frac{78}{10}=\frac{10x}{10}$
4. Which gives the result: $\frac{78}{10}=x$ (or $\frac{39}{5}=x$)

Thus, 3/10 of 26 is equal to 39/5 (or 7.8 in its decimal form).