What is 7/5 of 69?
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 69? We'll show you a straightforward method to achieve that.
How to calculate 7/5 of 69?
- Multiply the whole number by the numerator of the fraction: 69 × 7 = 483
- Divide this result by denominator of the fraction: 483/5 = 96.6
Since 483/5 is an improper fraction, the result could also be expressed as a mixed number: 96 3/5
How does it work?
The principle behind finding a fraction of a number, such as 7/5 of 69, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 7/5 of 69)
- 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 69 is equal to 483/5 (or 96.6 in its decimal form).