what is 1/4 divided by 2 in simplest form
The Correct Answer and Explanation is:
To solve the expression 14÷2\frac{1}{4} \div 241÷2, we follow these steps:
Step 1: Rewrite the division as multiplication
Dividing by a number is the same as multiplying by its reciprocal. The reciprocal of 2 is 12\frac{1}{2}21. So, the expression becomes:14÷2=14×12\frac{1}{4} \div 2 = \frac{1}{4} \times \frac{1}{2}41÷2=41×21
Step 2: Multiply the fractions
To multiply fractions, we simply multiply the numerators (top numbers) and the denominators (bottom numbers). This gives us:1×14×2=18\frac{1 \times 1}{4 \times 2} = \frac{1}{8}4×21×1=81
Step 3: Simplify if necessary
In this case, 18\frac{1}{8}81 is already in its simplest form. There’s no need to simplify further, since 1 and 8 don’t have any common factors other than 1.
Final Answer:
14÷2=18\frac{1}{4} \div 2 = \frac{1}{8}41÷2=81
Explanation:
When dividing fractions, it’s crucial to remember that division by a number is the same as multiplying by its reciprocal. By converting the division into multiplication and simplifying the resulting product, we get the answer in its simplest form. In this case, 14÷2\frac{1}{4} \div 241÷2 results in 18\frac{1}{8}81.
