What is 5/9 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 5/9 of 69? We'll show you a straightforward method to achieve that.
How to calculate 5/9 of 69?
- Multiply the whole number by the numerator of the fraction: 69 × 5 = 345
- Divide this result by denominator of the fraction: 345/9 = 38.333333333333
- Simplify by dividing both the numerator and denominator by their GCD (3):
- 345/3 = 115
- 9/3 = 3
- Which gives: 115/3
Since 115/3 is an improper fraction, the result could also be expressed as a mixed number: 38 1/3
How does it work?
The principle behind finding a fraction of a number, such as 5/9 of 69, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 5/9 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, 5/9 of 69 is equal to 115/3 (or 38.333333333333 in its decimal form).