To find the result of dividing 6 by 1/4, we need to understand how division by a fraction works. When you divide by a fraction, it’s the same as multiplying by its reciprocal. The reciprocal of a fraction is simply flipping the numerator and the denominator.
In this case, 1/4 has a reciprocal of 4/1, or simply just 4. Therefore, when we divide 6 by 1/4, we can rewrite this as:
6 ÷ (1/4) = 6 × (4/1)
Now, performing the multiplication:
6 × 4 = 24
So, the result of dividing 6 by 1/4 is 24.
In summary, when you divide 6 by 1/4, you get 24, since dividing by a fraction increases the total, such as how many whole or complete parts fit in when dividing by a fraction.