Question

What happens to the denominator when you take half of the fraction?

A) It doesn't change
B) The denominator gets bigger by 5
C) It doubles
D) It halves

Answer 1

Taking half of a fraction results in the denominator doubling, as dividing by half is the same as multiplying by 2.

Step-by-step explanation:

When you take half of a fraction, the denominator doubles. This is because taking half of a fraction effectively means dividing the fraction by 2. When you divide by a fraction, you multiply by its reciprocal. In this case, dividing by ½ is the same as multiplying by 2, which will double the denominator.

For example, if the original fraction is ¼ and we want to take half of this fraction, we multiply ¼ by ½ (which is the same as dividing by 2), giving us ´⅘. This simplifies to ¸, showing that the denominator has doubled from 4 to 8.