What is 8/7 of 23?
Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 8/7 of 23? We'll show you a straightforward method to achieve that.
How to calculate 8/7 of 23?
- Multiply the whole number by the numerator of the fraction: 23 × 8 = 184
- Divide this result by denominator of the fraction: 184/7 = 26.285714285714
Since 184/7 is an improper fraction, the result could also be expressed as a mixed number: 26 2/7
How does it work?
The principle behind finding a fraction of a number, such as 8/7 of 23, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 8/7 of 23)
- 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, 8/7 of 23 is equal to 184/7 (or 26.285714285714 in its decimal form).