Multiply. Write your answer in simplest form.
$\frac{1}{3} \times \frac{1}{6}$
Answer (2)
The product of 3 1 and 6 1 is 18 1 , which is already in simplest form. To find this, multiply the numerators and the denominators separately. Therefore, the final answer is 18 1 .
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Multiply the numerators: 1 × 1 = 1 .
Multiply the denominators: 3 × 6 = 18 .
Write the resulting fraction: 18 1 .
The fraction 18 1 is already in simplest form: 18 1 .
Explanation
Understanding the Problem We are asked to multiply two fractions, 3 1 and 6 1 , and express the result in its simplest form. This involves multiplying the numerators and the denominators of the fractions.
Multiplying the Fractions To multiply the fractions, we multiply the numerators together and the denominators together: 3 1 × 6 1 = 3 × 6 1 × 1 = 18 1
Checking for Simplification Now we need to check if the fraction 18 1 can be simplified. Since the numerator is 1, the fraction is already in its simplest form, as 1 is only divisible by 1, and 18 is not divisible by 1 (other than the trivial case).
Final Answer Therefore, the product of 3 1 and 6 1 in simplest form is 18 1 .
Examples
Understanding fractions is essential in many real-life situations. For example, when baking, you often need to measure ingredients using fractions. If a recipe calls for 3 1 cup of flour and you want to make half the recipe, you would multiply 2 1 × 3 1 to find out how much flour you need, which is 6 1 cup. This same principle applies to various scenarios like dividing pizza, sharing costs, or understanding discounts.
