What is 5/7 of 48?
Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 5/7 of 48? We'll show you a straightforward method to achieve that.
How to calculate 5/7 of 48?
- Multiply the whole number by the numerator of the fraction: 48 × 5 = 240
- Divide this result by denominator of the fraction: 240/7 = 34.285714285714
Since 240/7 is an improper fraction, the result could also be expressed as a mixed number: 34 2/7
How does it work?
The principle behind finding a fraction of a number, such as 5/7 of 48, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 5/7 of 48)
- 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, 5/7 of 48 is equal to 240/7 (or 34.285714285714 in its decimal form).