What is 6/9 of 71?
Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 6/9 of 71? We'll show you a straightforward method to achieve that.
How to calculate 6/9 of 71?
- Multiply the whole number by the numerator of the fraction: 71 × 6 = 426
- Divide this result by denominator of the fraction: 426/9 = 47.333333333333
- Simplify by dividing both the numerator and denominator by their GCD (3):
- 426/3 = 142
- 9/3 = 3
- Which gives: 142/3
Since 142/3 is an improper fraction, the result could also be expressed as a mixed number: 47 1/3
How does it work?
The principle behind finding a fraction of a number, such as 6/9 of 71, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 6/9 of 71)
- Using the cross-multiplication method, multiply both numerators by their opposite denominators:
- Which gives:
- Divide both sides by 9 to isolate x:
- Which gives the result: (or )
Thus, 6/9 of 71 is equal to 142/3 (or 47.333333333333 in its decimal form).