What is 9/6 of 53?
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 53? We'll show you a straightforward method to achieve that.
How to calculate 9/6 of 53?
- Multiply the whole number by the numerator of the fraction: 53 × 9 = 477
- Divide this result by denominator of the fraction: 477/6 = 79.5
- Simplify by dividing both the numerator and denominator by their GCD (3):
- 477/3 = 159
- 6/3 = 2
- Which gives: 159/2
Since 159/2 is an improper fraction, the result could also be expressed as a mixed number: 79 1/2
How does it work?
The principle behind finding a fraction of a number, such as 9/6 of 53, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 9/6 of 53)
- 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 53 is equal to 159/2 (or 79.5 in its decimal form).