What is 1/10 of 49?

How to calculate 1/10 of 49?

1. Multiply the whole number by the numerator of the fraction: 49 × 1 = 49
2. Divide this result by denominator of the fraction: 49/10 = 4.9

Since 49/10 is an improper fraction, the result could also be expressed as a mixed number: 4 9/10

How does it work?

The principle behind finding a fraction of a number, such as 1/10 of 49, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{1}{10}=\frac{x}{49}$ (where x represents 1/10 of 49)

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

Thus, 1/10 of 49 is equal to 49/10 (or 4.9 in its decimal form).