What is 8/5 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 8/5 of 69? We'll show you a straightforward method to achieve that.
How to calculate 8/5 of 69?
- Multiply the whole number by the numerator of the fraction: 69 × 8 = 552
- Divide this result by denominator of the fraction: 552/5 = 110.4
Since 552/5 is an improper fraction, the result could also be expressed as a mixed number: 110 2/5
How does it work?
The principle behind finding a fraction of a number, such as 8/5 of 69, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 8/5 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, 8/5 of 69 is equal to 552/5 (or 110.4 in its decimal form).