What is 7/3 of 61?
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 61? We'll show you a straightforward method to achieve that.
How to calculate 7/3 of 61?
- Multiply the whole number by the numerator of the fraction: 61 × 7 = 427
- Divide this result by denominator of the fraction: 427/3 = 142.33333333333
Since 427/3 is an improper fraction, the result could also be expressed as a mixed number: 142 1/3
How does it work?
The principle behind finding a fraction of a number, such as 7/3 of 61, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 7/3 of 61)
- 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 61 is equal to 427/3 (or 142.33333333333 in its decimal form).