What is 7/9 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 7/9 of 69? We'll show you a straightforward method to achieve that.
How to calculate 7/9 of 69?
- Multiply the whole number by the numerator of the fraction: 69 × 7 = 483
- Divide this result by denominator of the fraction: 483/9 = 53.666666666667
- Simplify by dividing both the numerator and denominator by their GCD (3):
- 483/3 = 161
- 9/3 = 3
- Which gives: 161/3
Since 161/3 is an improper fraction, the result could also be expressed as a mixed number: 53 2/3
How does it work?
The principle behind finding a fraction of a number, such as 7/9 of 69, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 7/9 of 69)
- 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, 7/9 of 69 is equal to 161/3 (or 53.666666666667 in its decimal form).