What is 10/9 of 84?
Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 10/9 of 84? We'll show you a straightforward method to achieve that.
How to calculate 10/9 of 84?
- Multiply the whole number by the numerator of the fraction: 84 × 10 = 840
- Divide this result by denominator of the fraction: 840/9 = 93.333333333333
- Simplify by dividing both the numerator and denominator by their GCD (3):
- 840/3 = 280
- 9/3 = 3
- Which gives: 280/3
Since 280/3 is an improper fraction, the result could also be expressed as a mixed number: 93 1/3
How does it work?
The principle behind finding a fraction of a number, such as 10/9 of 84, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 10/9 of 84)
- 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, 10/9 of 84 is equal to 280/3 (or 93.333333333333 in its decimal form).