What is 7/10 of 88?
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 88? We'll show you a straightforward method to achieve that.
How to calculate 7/10 of 88?
- Multiply the whole number by the numerator of the fraction: 88 × 7 = 616
- Divide this result by denominator of the fraction: 616/10 = 61.6
- Simplify by dividing both the numerator and denominator by their GCD (2):
- 616/2 = 308
- 10/2 = 5
- Which gives: 308/5
Since 308/5 is an improper fraction, the result could also be expressed as a mixed number: 61 3/5
How does it work?
The principle behind finding a fraction of a number, such as 7/10 of 88, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 7/10 of 88)
- 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 88 is equal to 308/5 (or 61.6 in its decimal form).