What is 10/3 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 10/3 of 77? We'll show you a straightforward method to achieve that.
How to calculate 10/3 of 77?
- Multiply the whole number by the numerator of the fraction: 77 × 10 = 770
- Divide this result by denominator of the fraction: 770/3 = 256.66666666667
Since 770/3 is an improper fraction, the result could also be expressed as a mixed number: 256 2/3
How does it work?
The principle behind finding a fraction of a number, such as 10/3 of 77, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 10/3 of 77)
- 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, 10/3 of 77 is equal to 770/3 (or 256.66666666667 in its decimal form).