What is 3/7 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 3/7 of 39? We'll show you a straightforward method to achieve that.
How to calculate 3/7 of 39?
- Multiply the whole number by the numerator of the fraction: 39 × 3 = 117
- Divide this result by denominator of the fraction: 117/7 = 16.714285714286
Since 117/7 is an improper fraction, the result could also be expressed as a mixed number: 16 5/7
How does it work?
The principle behind finding a fraction of a number, such as 3/7 of 39, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 3/7 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, 3/7 of 39 is equal to 117/7 (or 16.714285714286 in its decimal form).