What is 6/7 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 6/7 of 39? We'll show you a straightforward method to achieve that.
How to calculate 6/7 of 39?
- Multiply the whole number by the numerator of the fraction: 39 × 6 = 234
- Divide this result by denominator of the fraction: 234/7 = 33.428571428571
Since 234/7 is an improper fraction, the result could also be expressed as a mixed number: 33 3/7
How does it work?
The principle behind finding a fraction of a number, such as 6/7 of 39, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 6/7 of 39)
- Using the cross-multiplication method, multiply both numerators by their opposite denominators:
- Which gives:
- Divide both sides by 7 to isolate x:
- Which gives the result:
Thus, 6/7 of 39 is equal to 234/7 (or 33.428571428571 in its decimal form).