What is 7/10 of 34?

How to calculate 7/10 of 34?

1. Multiply the whole number by the numerator of the fraction: 34 × 7 = 238
2. Divide this result by denominator of the fraction: 238/10 = 23.8
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 238/2 = 119
   • 10/2 = 5
4. Which gives: 119/5

Since 119/5 is an improper fraction, the result could also be expressed as a mixed number: 23 4/5

How does it work?

The principle behind finding a fraction of a number, such as 7/10 of 34, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{7}{10}=\frac{x}{34}$ (where x represents 7/10 of 34)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $7\times 34=10x$
2. Which gives: $238=10x$
3. Divide both sides by 10 to isolate x: $\frac{238}{10}=\frac{10x}{10}$
4. Which gives the result: $\frac{238}{10}=x$ (or $\frac{119}{5}=x$)

Thus, 7/10 of 34 is equal to 119/5 (or 23.8 in its decimal form).