What is 8/3 of 78?
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 78? We'll show you a straightforward method to achieve that.
How to calculate 8/3 of 78?
- Multiply the whole number by the numerator of the fraction: 78 × 8 = 624
- Divide this result by denominator of the fraction: 624/3 = 208
- Simplify by dividing both the numerator and denominator by their GCD (3):
- 624/3 = 208
- 3/3 = 1
- Which gives: 208/1
How does it work?
The principle behind finding a fraction of a number, such as 8/3 of 78, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 8/3 of 78)
- 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 78 is equal to 208/1 (or 208 in its decimal form).