What is 4/7 of 10?
Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 4/7 of 10? We'll show you a straightforward method to achieve that.
How to calculate 4/7 of 10?
- Multiply the whole number by the numerator of the fraction: 10 × 4 = 40
- Divide this result by denominator of the fraction: 40/7 = 5.7142857142857
Since 40/7 is an improper fraction, the result could also be expressed as a mixed number: 5 5/7
How does it work?
The principle behind finding a fraction of a number, such as 4/7 of 10, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 4/7 of 10)
- 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, 4/7 of 10 is equal to 40/7 (or 5.7142857142857 in its decimal form).