What is 10/7 of 44?
Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 10/7 of 44? We'll show you a straightforward method to achieve that.
How to calculate 10/7 of 44?
- Multiply the whole number by the numerator of the fraction: 44 × 10 = 440
- Divide this result by denominator of the fraction: 440/7 = 62.857142857143
Since 440/7 is an improper fraction, the result could also be expressed as a mixed number: 62 6/7
How does it work?
The principle behind finding a fraction of a number, such as 10/7 of 44, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 10/7 of 44)
- Using the cross-multiplication method, multiply both numerators by their opposite denominators:
- Which gives:
- Divide both sides by 7 to isolate x:
- Which gives the result:
Thus, 10/7 of 44 is equal to 440/7 (or 62.857142857143 in its decimal form).