What is 4/7 of 69?
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 69? We'll show you a straightforward method to achieve that.
How to calculate 4/7 of 69?
- Multiply the whole number by the numerator of the fraction: 69 × 4 = 276
- Divide this result by denominator of the fraction: 276/7 = 39.428571428571
Since 276/7 is an improper fraction, the result could also be expressed as a mixed number: 39 3/7
How does it work?
The principle behind finding a fraction of a number, such as 4/7 of 69, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 4/7 of 69)
- 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 69 is equal to 276/7 (or 39.428571428571 in its decimal form).