What is 7/4 of 83?
Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 7/4 of 83? We'll show you a straightforward method to achieve that.
How to calculate 7/4 of 83?
- Multiply the whole number by the numerator of the fraction: 83 × 7 = 581
- Divide this result by denominator of the fraction: 581/4 = 145.25
Since 581/4 is an improper fraction, the result could also be expressed as a mixed number: 145 1/4
How does it work?
The principle behind finding a fraction of a number, such as 7/4 of 83, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 7/4 of 83)
- Using the cross-multiplication method, multiply both numerators by their opposite denominators:
- Which gives:
- Divide both sides by 4 to isolate x:
- Which gives the result:
Thus, 7/4 of 83 is equal to 581/4 (or 145.25 in its decimal form).