What is 8/3 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 8/3 of 84? We'll show you a straightforward method to achieve that.
How to calculate 8/3 of 84?
- Multiply the whole number by the numerator of the fraction: 84 × 8 = 672
- Divide this result by denominator of the fraction: 672/3 = 224
- Simplify by dividing both the numerator and denominator by their GCD (3):
- 672/3 = 224
- 3/3 = 1
- Which gives: 224/1
How does it work?
The principle behind finding a fraction of a number, such as 8/3 of 84, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 8/3 of 84)
- Using the cross-multiplication method, multiply both numerators by their opposite denominators:
- Which gives:
- Divide both sides by 3 to isolate x:
- Which gives the result: (or )
Thus, 8/3 of 84 is equal to 224/1 (or 224 in its decimal form).