What is 6/8 of 94?
Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 6/8 of 94? We'll show you a straightforward method to achieve that.
How to calculate 6/8 of 94?
- Multiply the whole number by the numerator of the fraction: 94 × 6 = 564
- Divide this result by denominator of the fraction: 564/8 = 70.5
- Simplify by dividing both the numerator and denominator by their GCD (4):
- 564/4 = 141
- 8/4 = 2
- Which gives: 141/2
Since 141/2 is an improper fraction, the result could also be expressed as a mixed number: 70 1/2
How does it work?
The principle behind finding a fraction of a number, such as 6/8 of 94, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 6/8 of 94)
- Using the cross-multiplication method, multiply both numerators by their opposite denominators:
- Which gives:
- Divide both sides by 8 to isolate x:
- Which gives the result: (or )
Thus, 6/8 of 94 is equal to 141/2 (or 70.5 in its decimal form).