What is 7/9 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 7/9 of 89? We'll show you a straightforward method to achieve that.
How to calculate 7/9 of 89?
- Multiply the whole number by the numerator of the fraction: 89 × 7 = 623
- Divide this result by denominator of the fraction: 623/9 = 69.222222222222
Since 623/9 is an improper fraction, the result could also be expressed as a mixed number: 69 2/9
How does it work?
The principle behind finding a fraction of a number, such as 7/9 of 89, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 7/9 of 89)
- Using the cross-multiplication method, multiply both numerators by their opposite denominators:
- Which gives:
- Divide both sides by 9 to isolate x:
- Which gives the result:
Thus, 7/9 of 89 is equal to 623/9 (or 69.222222222222 in its decimal form).