What is 6/3 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 6/3 of 46? We'll show you a straightforward method to achieve that.
How to calculate 6/3 of 46?
- Multiply the whole number by the numerator of the fraction: 46 × 6 = 276
- Divide this result by denominator of the fraction: 276/3 = 92
- Simplify by dividing both the numerator and denominator by their GCD (3):
- 276/3 = 92
- 3/3 = 1
- Which gives: 92/1
How does it work?
The principle behind finding a fraction of a number, such as 6/3 of 46, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 6/3 of 46)
- Using the cross-multiplication method, multiply both numerators by their opposite denominators:
- Which gives:
- Divide both sides by 3 to isolate x:
- Which gives the result: (or )
Thus, 6/3 of 46 is equal to 92/1 (or 92 in its decimal form).