What is 1/7 of 67?
Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 1/7 of 67? We'll show you a straightforward method to achieve that.
How to calculate 1/7 of 67?
- Multiply the whole number by the numerator of the fraction: 67 × 1 = 67
- Divide this result by denominator of the fraction: 67/7 = 9.5714285714286
Since 67/7 is an improper fraction, the result could also be expressed as a mixed number: 9 4/7
How does it work?
The principle behind finding a fraction of a number, such as 1/7 of 67, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 1/7 of 67)
- 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, 1/7 of 67 is equal to 67/7 (or 9.5714285714286 in its decimal form).