What is 5/4 of 77?
Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 5/4 of 77? We'll show you a straightforward method to achieve that.
How to calculate 5/4 of 77?
- Multiply the whole number by the numerator of the fraction: 77 × 5 = 385
- Divide this result by denominator of the fraction: 385/4 = 96.25
Since 385/4 is an improper fraction, the result could also be expressed as a mixed number: 96 1/4
How does it work?
The principle behind finding a fraction of a number, such as 5/4 of 77, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 5/4 of 77)
- 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, 5/4 of 77 is equal to 385/4 (or 96.25 in its decimal form).