What is 4/7 of 15?
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 15? We'll show you a straightforward method to achieve that.
How to calculate 4/7 of 15?
- Multiply the whole number by the numerator of the fraction: 15 × 4 = 60
- Divide this result by denominator of the fraction: 60/7 = 8.5714285714286
Since 60/7 is an improper fraction, the result could also be expressed as a mixed number: 8 4/7
How does it work?
The principle behind finding a fraction of a number, such as 4/7 of 15, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 4/7 of 15)
- 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 15 is equal to 60/7 (or 8.5714285714286 in its decimal form).