What is 4/5 of 59?
Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 4/5 of 59? We'll show you a straightforward method to achieve that.
How to calculate 4/5 of 59?
- Multiply the whole number by the numerator of the fraction: 59 × 4 = 236
- Divide this result by denominator of the fraction: 236/5 = 47.2
Since 236/5 is an improper fraction, the result could also be expressed as a mixed number: 47 1/5
How does it work?
The principle behind finding a fraction of a number, such as 4/5 of 59, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 4/5 of 59)
- Using the cross-multiplication method, multiply both numerators by their opposite denominators:
- Which gives:
- Divide both sides by 5 to isolate x:
- Which gives the result:
Thus, 4/5 of 59 is equal to 236/5 (or 47.2 in its decimal form).