What is 9/10 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 9/10 of 92? We'll show you a straightforward method to achieve that.
How to calculate 9/10 of 92?
- Multiply the whole number by the numerator of the fraction: 92 × 9 = 828
- Divide this result by denominator of the fraction: 828/10 = 82.8
- Simplify by dividing both the numerator and denominator by their GCD (2):
- 828/2 = 414
- 10/2 = 5
- Which gives: 414/5
Since 414/5 is an improper fraction, the result could also be expressed as a mixed number: 82 4/5
How does it work?
The principle behind finding a fraction of a number, such as 9/10 of 92, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 9/10 of 92)
- Using the cross-multiplication method, multiply both numerators by their opposite denominators:
- Which gives:
- Divide both sides by 10 to isolate x:
- Which gives the result: (or )
Thus, 9/10 of 92 is equal to 414/5 (or 82.8 in its decimal form).