What is 6/5 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 6/5 of 77? We'll show you a straightforward method to achieve that.
How to calculate 6/5 of 77?
- Multiply the whole number by the numerator of the fraction: 77 × 6 = 462
- Divide this result by denominator of the fraction: 462/5 = 92.4
Since 462/5 is an improper fraction, the result could also be expressed as a mixed number: 92 2/5
How does it work?
The principle behind finding a fraction of a number, such as 6/5 of 77, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 6/5 of 77)
- Using the cross-multiplication method, multiply both numerators by their opposite denominators:
- Which gives:
- Divide both sides by 5 to isolate x:
- Which gives the result:
Thus, 6/5 of 77 is equal to 462/5 (or 92.4 in its decimal form).