What is 1/5 of 70?
Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 1/5 of 70? We'll show you a straightforward method to achieve that.
How to calculate 1/5 of 70?
- Multiply the whole number by the numerator of the fraction: 70 × 1 = 70
- Divide this result by denominator of the fraction: 70/5 = 14
- Simplify by dividing both the numerator and denominator by their GCD (5):
- 70/5 = 14
- 5/5 = 1
- Which gives: 14/1
How does it work?
The principle behind finding a fraction of a number, such as 1/5 of 70, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 1/5 of 70)
- Using the cross-multiplication method, multiply both numerators by their opposite denominators:
- Which gives:
- Divide both sides by 5 to isolate x:
- Which gives the result: (or )
Thus, 1/5 of 70 is equal to 14/1 (or 14 in its decimal form).