What is 8/9 of 51?
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 51? We'll show you a straightforward method to achieve that.
How to calculate 8/9 of 51?
- Multiply the whole number by the numerator of the fraction: 51 × 8 = 408
- Divide this result by denominator of the fraction: 408/9 = 45.333333333333
- Simplify by dividing both the numerator and denominator by their GCD (3):
- 408/3 = 136
- 9/3 = 3
- Which gives: 136/3
Since 136/3 is an improper fraction, the result could also be expressed as a mixed number: 45 1/3
How does it work?
The principle behind finding a fraction of a number, such as 8/9 of 51, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 8/9 of 51)
- 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 51 is equal to 136/3 (or 45.333333333333 in its decimal form).