What is 4/9 of 46?
Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 4/9 of 46? We'll show you a straightforward method to achieve that.
How to calculate 4/9 of 46?
- Multiply the whole number by the numerator of the fraction: 46 × 4 = 184
- Divide this result by denominator of the fraction: 184/9 = 20.444444444444
Since 184/9 is an improper fraction, the result could also be expressed as a mixed number: 20 4/9
How does it work?
The principle behind finding a fraction of a number, such as 4/9 of 46, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 4/9 of 46)
- Using the cross-multiplication method, multiply both numerators by their opposite denominators:
- Which gives:
- Divide both sides by 9 to isolate x:
- Which gives the result:
Thus, 4/9 of 46 is equal to 184/9 (or 20.444444444444 in its decimal form).