What is 6/8 of 48?
Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 6/8 of 48? We'll show you a straightforward method to achieve that.
How to calculate 6/8 of 48?
- Multiply the whole number by the numerator of the fraction: 48 × 6 = 288
- Divide this result by denominator of the fraction: 288/8 = 36
- Simplify by dividing both the numerator and denominator by their GCD (8):
- 288/8 = 36
- 8/8 = 1
- Which gives: 36/1
How does it work?
The principle behind finding a fraction of a number, such as 6/8 of 48, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 6/8 of 48)
- 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, 6/8 of 48 is equal to 36/1 (or 36 in its decimal form).