What is 8/10 of 89?
Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 8/10 of 89? We'll show you a straightforward method to achieve that.
How to calculate 8/10 of 89?
- Multiply the whole number by the numerator of the fraction: 89 × 8 = 712
- Divide this result by denominator of the fraction: 712/10 = 71.2
- Simplify by dividing both the numerator and denominator by their GCD (2):
- 712/2 = 356
- 10/2 = 5
- Which gives: 356/5
Since 356/5 is an improper fraction, the result could also be expressed as a mixed number: 71 1/5
How does it work?
The principle behind finding a fraction of a number, such as 8/10 of 89, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 8/10 of 89)
- Using the cross-multiplication method, multiply both numerators by their opposite denominators:
- Which gives:
- Divide both sides by 10 to isolate x:
- Which gives the result: (or )
Thus, 8/10 of 89 is equal to 356/5 (or 71.2 in its decimal form).