What is 7/10 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 7/10 of 92? We'll show you a straightforward method to achieve that.
How to calculate 7/10 of 92?
- Multiply the whole number by the numerator of the fraction: 92 × 7 = 644
- Divide this result by denominator of the fraction: 644/10 = 64.4
- Simplify by dividing both the numerator and denominator by their GCD (2):
- 644/2 = 322
- 10/2 = 5
- Which gives: 322/5
Since 322/5 is an improper fraction, the result could also be expressed as a mixed number: 64 2/5
How does it work?
The principle behind finding a fraction of a number, such as 7/10 of 92, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 7/10 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, 7/10 of 92 is equal to 322/5 (or 64.4 in its decimal form).