What is 8/9 of 62?
Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 8/9 of 62? We'll show you a straightforward method to achieve that.
How to calculate 8/9 of 62?
- Multiply the whole number by the numerator of the fraction: 62 × 8 = 496
- Divide this result by denominator of the fraction: 496/9 = 55.111111111111
Since 496/9 is an improper fraction, the result could also be expressed as a mixed number: 55 1/9
How does it work?
The principle behind finding a fraction of a number, such as 8/9 of 62, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 8/9 of 62)
- 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, 8/9 of 62 is equal to 496/9 (or 55.111111111111 in its decimal form).