What is 9/8 of 52?
Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 9/8 of 52? We'll show you a straightforward method to achieve that.
How to calculate 9/8 of 52?
- Multiply the whole number by the numerator of the fraction: 52 × 9 = 468
- Divide this result by denominator of the fraction: 468/8 = 58.5
- Simplify by dividing both the numerator and denominator by their GCD (4):
- 468/4 = 117
- 8/4 = 2
- Which gives: 117/2
Since 117/2 is an improper fraction, the result could also be expressed as a mixed number: 58 1/2
How does it work?
The principle behind finding a fraction of a number, such as 9/8 of 52, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 9/8 of 52)
- Using the cross-multiplication method, multiply both numerators by their opposite denominators:
- Which gives:
- Divide both sides by 8 to isolate x:
- Which gives the result: (or )
Thus, 9/8 of 52 is equal to 117/2 (or 58.5 in its decimal form).