What is 9/8 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 9/8 of 94? We'll show you a straightforward method to achieve that.
How to calculate 9/8 of 94?
- Multiply the whole number by the numerator of the fraction: 94 × 9 = 846
- Divide this result by denominator of the fraction: 846/8 = 105.75
- Simplify by dividing both the numerator and denominator by their GCD (2):
- 846/2 = 423
- 8/2 = 4
- Which gives: 423/4
Since 423/4 is an improper fraction, the result could also be expressed as a mixed number: 105 3/4
How does it work?
The principle behind finding a fraction of a number, such as 9/8 of 94, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 9/8 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, 9/8 of 94 is equal to 423/4 (or 105.75 in its decimal form).