What is 5/4 of 47?
Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 5/4 of 47? We'll show you a straightforward method to achieve that.
How to calculate 5/4 of 47?
- Multiply the whole number by the numerator of the fraction: 47 × 5 = 235
- Divide this result by denominator of the fraction: 235/4 = 58.75
Since 235/4 is an improper fraction, the result could also be expressed as a mixed number: 58 3/4
How does it work?
The principle behind finding a fraction of a number, such as 5/4 of 47, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 5/4 of 47)
- 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, 5/4 of 47 is equal to 235/4 (or 58.75 in its decimal form).