What is 8/9 of 39?
Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 8/9 of 39? We'll show you a straightforward method to achieve that.
How to calculate 8/9 of 39?
- Multiply the whole number by the numerator of the fraction: 39 × 8 = 312
- Divide this result by denominator of the fraction: 312/9 = 34.666666666667
- Simplify by dividing both the numerator and denominator by their GCD (3):
- 312/3 = 104
- 9/3 = 3
- Which gives: 104/3
Since 104/3 is an improper fraction, the result could also be expressed as a mixed number: 34 2/3
How does it work?
The principle behind finding a fraction of a number, such as 8/9 of 39, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 8/9 of 39)
- 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, 8/9 of 39 is equal to 104/3 (or 34.666666666667 in its decimal form).