What is 9/4 of 51?
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 51? We'll show you a straightforward method to achieve that.
How to calculate 9/4 of 51?
- Multiply the whole number by the numerator of the fraction: 51 × 9 = 459
- Divide this result by denominator of the fraction: 459/4 = 114.75
Since 459/4 is an improper fraction, the result could also be expressed as a mixed number: 114 3/4
How does it work?
The principle behind finding a fraction of a number, such as 9/4 of 51, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 9/4 of 51)
- 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:
Thus, 9/4 of 51 is equal to 459/4 (or 114.75 in its decimal form).