What is 7/6 of 39?
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 39? We'll show you a straightforward method to achieve that.
How to calculate 7/6 of 39?
- Multiply the whole number by the numerator of the fraction: 39 × 7 = 273
- Divide this result by denominator of the fraction: 273/6 = 45.5
- Simplify by dividing both the numerator and denominator by their GCD (3):
- 273/3 = 91
- 6/3 = 2
- Which gives: 91/2
Since 91/2 is an improper fraction, the result could also be expressed as a mixed number: 45 1/2
How does it work?
The principle behind finding a fraction of a number, such as 7/6 of 39, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 7/6 of 39)
- 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 39 is equal to 91/2 (or 45.5 in its decimal form).