What is 8/10 of 93?
Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 8/10 of 93? We'll show you a straightforward method to achieve that.
How to calculate 8/10 of 93?
- Multiply the whole number by the numerator of the fraction: 93 × 8 = 744
- Divide this result by denominator of the fraction: 744/10 = 74.4
- Simplify by dividing both the numerator and denominator by their GCD (2):
- 744/2 = 372
- 10/2 = 5
- Which gives: 372/5
Since 372/5 is an improper fraction, the result could also be expressed as a mixed number: 74 2/5
How does it work?
The principle behind finding a fraction of a number, such as 8/10 of 93, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 8/10 of 93)
- 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, 8/10 of 93 is equal to 372/5 (or 74.4 in its decimal form).