What is 7/5 of 84?
Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 7/5 of 84? We'll show you a straightforward method to achieve that.
How to calculate 7/5 of 84?
- Multiply the whole number by the numerator of the fraction: 84 × 7 = 588
- Divide this result by denominator of the fraction: 588/5 = 117.6
Since 588/5 is an improper fraction, the result could also be expressed as a mixed number: 117 3/5
How does it work?
The principle behind finding a fraction of a number, such as 7/5 of 84, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 7/5 of 84)
- 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:
Thus, 7/5 of 84 is equal to 588/5 (or 117.6 in its decimal form).