What is 9/8 of 100?
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 100? We'll show you a straightforward method to achieve that.
How to calculate 9/8 of 100?
- Multiply the whole number by the numerator of the fraction: 100 × 9 = 900
- Divide this result by denominator of the fraction: 900/8 = 112.5
- Simplify by dividing both the numerator and denominator by their GCD (4):
- 900/4 = 225
- 8/4 = 2
- Which gives: 225/2
Since 225/2 is an improper fraction, the result could also be expressed as a mixed number: 112 1/2
How does it work?
The principle behind finding a fraction of a number, such as 9/8 of 100, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 9/8 of 100)
- 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 100 is equal to 225/2 (or 112.5 in its decimal form).