What is 1/7 of 45?

How to calculate 1/7 of 45?

1. Multiply the whole number by the numerator of the fraction: 45 × 1 = 45
2. Divide this result by denominator of the fraction: 45/7 = 6.4285714285714

Since 45/7 is an improper fraction, the result could also be expressed as a mixed number: 6 3/7

How does it work?

The principle behind finding a fraction of a number, such as 1/7 of 45, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{1}{7}=\frac{x}{45}$ (where x represents 1/7 of 45)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $1\times 45=7x$
2. Which gives: $45=7x$
3. Divide both sides by 7 to isolate x: $\frac{45}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{45}{7}=x$

Thus, 1/7 of 45 is equal to 45/7 (or 6.4285714285714 in its decimal form).