What is 7/6 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 7/6 of 94? We'll show you a straightforward method to achieve that.
How to calculate 7/6 of 94?
- Multiply the whole number by the numerator of the fraction: 94 × 7 = 658
- Divide this result by denominator of the fraction: 658/6 = 109.66666666667
- Simplify by dividing both the numerator and denominator by their GCD (2):
- 658/2 = 329
- 6/2 = 3
- Which gives: 329/3
Since 329/3 is an improper fraction, the result could also be expressed as a mixed number: 109 2/3
How does it work?
The principle behind finding a fraction of a number, such as 7/6 of 94, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 7/6 of 94)
- Using the cross-multiplication method, multiply both numerators by their opposite denominators:
- Which gives:
- Divide both sides by 6 to isolate x:
- Which gives the result: (or )
Thus, 7/6 of 94 is equal to 329/3 (or 109.66666666667 in its decimal form).