What is 1/6 of 75?
Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 1/6 of 75? We'll show you a straightforward method to achieve that.
How to calculate 1/6 of 75?
- Multiply the whole number by the numerator of the fraction: 75 × 1 = 75
- Divide this result by denominator of the fraction: 75/6 = 12.5
- Simplify by dividing both the numerator and denominator by their GCD (3):
- 75/3 = 25
- 6/3 = 2
- Which gives: 25/2
Since 25/2 is an improper fraction, the result could also be expressed as a mixed number: 12 1/2
How does it work?
The principle behind finding a fraction of a number, such as 1/6 of 75, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 1/6 of 75)
- Using the cross-multiplication method, multiply both numerators by their opposite denominators:
- Which gives:
- Divide both sides by 6 to isolate x:
- Which gives the result: (or )
Thus, 1/6 of 75 is equal to 25/2 (or 12.5 in its decimal form).