What is 7/10 of 35?

How to calculate 7/10 of 35?

1. Multiply the whole number by the numerator of the fraction: 35 × 7 = 245
2. Divide this result by denominator of the fraction: 245/10 = 24.5
3. Simplify by dividing both the numerator and denominator by their GCD (5):
   • 245/5 = 49
   • 10/5 = 2
4. Which gives: 49/2

Since 49/2 is an improper fraction, the result could also be expressed as a mixed number: 24 1/2

How does it work?

The principle behind finding a fraction of a number, such as 7/10 of 35, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{7}{10}=\frac{x}{35}$ (where x represents 7/10 of 35)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $7\times 35=10x$
2. Which gives: $245=10x$
3. Divide both sides by 10 to isolate x: $\frac{245}{10}=\frac{10x}{10}$
4. Which gives the result: $\frac{245}{10}=x$ (or $\frac{49}{2}=x$)

Thus, 7/10 of 35 is equal to 49/2 (or 24.5 in its decimal form).