To express the division of three-fourths by two as a fraction, we begin with the fraction 3/4 and divide it by 2. In fraction terms, this operation can be rewritten as:
3/4 ÷ 2
When dividing by a whole number, it’s helpful to convert the whole number into a fraction. We can express 2 as a fraction by writing it as 2/1. Thus, our equation becomes:
3/4 ÷ 2/1
Next, to divide fractions, we need to multiply by the reciprocal of the second fraction. The reciprocal of 2/1 is 1/2. So, we rewrite the division as:
3/4 × 1/2
Now, we can multiply the numerators together and the denominators together:
- Numerators: 3 × 1 = 3
- Denominators: 4 × 2 = 8
This gives us the fraction:
3/8
Therefore, when you divide three-fourths by two, the result expressed as a fraction is 3/8.