What is 9/4 of 62?
Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 9/4 of 62? We'll show you a straightforward method to achieve that.
How to calculate 9/4 of 62?
- Multiply the whole number by the numerator of the fraction: 62 × 9 = 558
- Divide this result by denominator of the fraction: 558/4 = 139.5
- Simplify by dividing both the numerator and denominator by their GCD (2):
- 558/2 = 279
- 4/2 = 2
- Which gives: 279/2
Since 279/2 is an improper fraction, the result could also be expressed as a mixed number: 139 1/2
How does it work?
The principle behind finding a fraction of a number, such as 9/4 of 62, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 9/4 of 62)
- Using the cross-multiplication method, multiply both numerators by their opposite denominators:
- Which gives:
- Divide both sides by 4 to isolate x:
- Which gives the result: (or )
Thus, 9/4 of 62 is equal to 279/2 (or 139.5 in its decimal form).