What is 1/8 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 1/8 of 46? We'll show you a straightforward method to achieve that.
How to calculate 1/8 of 46?
- Multiply the whole number by the numerator of the fraction: 46 × 1 = 46
- Divide this result by denominator of the fraction: 46/8 = 5.75
- Simplify by dividing both the numerator and denominator by their GCD (2):
- 46/2 = 23
- 8/2 = 4
- Which gives: 23/4
Since 23/4 is an improper fraction, the result could also be expressed as a mixed number: 5 3/4
How does it work?
The principle behind finding a fraction of a number, such as 1/8 of 46, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 1/8 of 46)
- Using the cross-multiplication method, multiply both numerators by their opposite denominators:
- Which gives:
- Divide both sides by 8 to isolate x:
- Which gives the result: (or )
Thus, 1/8 of 46 is equal to 23/4 (or 5.75 in its decimal form).