What is 10/4 of 14?

How to calculate 10/4 of 14?

1. Multiply the whole number by the numerator of the fraction: 14 × 10 = 140
2. Divide this result by denominator of the fraction: 140/4 = 35
3. Simplify by dividing both the numerator and denominator by their GCD (4):
   • 140/4 = 35
   • 4/4 = 1
4. Which gives: 35/1

How does it work?

The principle behind finding a fraction of a number, such as 10/4 of 14, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{10}{4}=\frac{x}{14}$ (where x represents 10/4 of 14)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $10\times 14=4x$
2. Which gives: $140=4x$
3. Divide both sides by 4 to isolate x: $\frac{140}{4}=\frac{4x}{4}$
4. Which gives the result: $\frac{140}{4}=x$ (or $\frac{35}{1}=x$)

Thus, 10/4 of 14 is equal to 35/1 (or 35 in its decimal form).