What is 7/3 of 31?
Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 7/3 of 31? We'll show you a straightforward method to achieve that.
How to calculate 7/3 of 31?
- Multiply the whole number by the numerator of the fraction: 31 × 7 = 217
- Divide this result by denominator of the fraction: 217/3 = 72.333333333333
Since 217/3 is an improper fraction, the result could also be expressed as a mixed number: 72 1/3
How does it work?
The principle behind finding a fraction of a number, such as 7/3 of 31, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 7/3 of 31)
- Using the cross-multiplication method, multiply both numerators by their opposite denominators:
- Which gives:
- Divide both sides by 3 to isolate x:
- Which gives the result:
Thus, 7/3 of 31 is equal to 217/3 (or 72.333333333333 in its decimal form).