What is 9/8 of 92?
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 92? We'll show you a straightforward method to achieve that.
How to calculate 9/8 of 92?
- Multiply the whole number by the numerator of the fraction: 92 × 9 = 828
- Divide this result by denominator of the fraction: 828/8 = 103.5
- Simplify by dividing both the numerator and denominator by their GCD (4):
- 828/4 = 207
- 8/4 = 2
- Which gives: 207/2
Since 207/2 is an improper fraction, the result could also be expressed as a mixed number: 103 1/2
How does it work?
The principle behind finding a fraction of a number, such as 9/8 of 92, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 9/8 of 92)
- 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 92 is equal to 207/2 (or 103.5 in its decimal form).