What is 7/6 of 87?
Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 7/6 of 87? We'll show you a straightforward method to achieve that.
How to calculate 7/6 of 87?
- Multiply the whole number by the numerator of the fraction: 87 × 7 = 609
- Divide this result by denominator of the fraction: 609/6 = 101.5
- Simplify by dividing both the numerator and denominator by their GCD (3):
- 609/3 = 203
- 6/3 = 2
- Which gives: 203/2
Since 203/2 is an improper fraction, the result could also be expressed as a mixed number: 101 1/2
How does it work?
The principle behind finding a fraction of a number, such as 7/6 of 87, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 7/6 of 87)
- Using the cross-multiplication method, multiply both numerators by their opposite denominators:
- Which gives:
- Divide both sides by 6 to isolate x:
- Which gives the result: (or )
Thus, 7/6 of 87 is equal to 203/2 (or 101.5 in its decimal form).