What is 4/6 of 60?
Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 4/6 of 60? We'll show you a straightforward method to achieve that.
How to calculate 4/6 of 60?
- Multiply the whole number by the numerator of the fraction: 60 × 4 = 240
- Divide this result by denominator of the fraction: 240/6 = 40
- Simplify by dividing both the numerator and denominator by their GCD (6):
- 240/6 = 40
- 6/6 = 1
- Which gives: 40/1
How does it work?
The principle behind finding a fraction of a number, such as 4/6 of 60, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 4/6 of 60)
- 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, 4/6 of 60 is equal to 40/1 (or 40 in its decimal form).