What is 9/6 of 59?
Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 9/6 of 59? We'll show you a straightforward method to achieve that.
How to calculate 9/6 of 59?
- Multiply the whole number by the numerator of the fraction: 59 × 9 = 531
- Divide this result by denominator of the fraction: 531/6 = 88.5
- Simplify by dividing both the numerator and denominator by their GCD (3):
- 531/3 = 177
- 6/3 = 2
- Which gives: 177/2
Since 177/2 is an improper fraction, the result could also be expressed as a mixed number: 88 1/2
How does it work?
The principle behind finding a fraction of a number, such as 9/6 of 59, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 9/6 of 59)
- Using the cross-multiplication method, multiply both numerators by their opposite denominators:
- Which gives:
- Divide both sides by 6 to isolate x:
- Which gives the result: (or )
Thus, 9/6 of 59 is equal to 177/2 (or 88.5 in its decimal form).