Final answer:
To divide 3/4 by 2/5, multiply 3/4 by the reciprocal of 2/5, which is 5/2, giving the result of 15/8, or 1 7/8, or 1.875.
Step-by-step explanation:
To divide fractions, you multiply by the reciprocal of the divisor. So, dividing 3/4 by 2/5 is the same as multiplying 3/4 by the reciprocal of 2/5, which is 5/2. The calculation is as follows:
3/4 ÷ 2/5 = 3/4 × 5/2.
When we perform the multiplication, we multiply the numerators together and the denominators together:
- Numerator: 3 × 5 = 15
- Denominator: 4 × 2 = 8
The result is 15/8, which can also be written as 1 7/8 or 1.875 in decimal form.