What is 6/4 of 72?
Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 6/4 of 72? We'll show you a straightforward method to achieve that.
How to calculate 6/4 of 72?
- Multiply the whole number by the numerator of the fraction: 72 × 6 = 432
- Divide this result by denominator of the fraction: 432/4 = 108
- Simplify by dividing both the numerator and denominator by their GCD (4):
- 432/4 = 108
- 4/4 = 1
- Which gives: 108/1
How does it work?
The principle behind finding a fraction of a number, such as 6/4 of 72, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 6/4 of 72)
- Using the cross-multiplication method, multiply both numerators by their opposite denominators:
- Which gives:
- Divide both sides by 4 to isolate x:
- Which gives the result: (or )
Thus, 6/4 of 72 is equal to 108/1 (or 108 in its decimal form).