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To solve this problem, we'll follow these steps:
Now, let's work through each step:
Step 1: Multiply the numerators: .
Step 2: Multiply the denominators: .
Thus, the product of the fractions is .
Therefore, the solution to the problem is .
Complete the following exercise:
\( \frac{1}{2}:\frac{3}{5}=\text{?} \)
Unlike adding fractions, multiplying fractions doesn't need common denominators! You simply multiply numerator × numerator and denominator × denominator straight across.
It's good practice to check if your answer can be simplified. For , since 6 and 35 share no common factors, it's already in lowest terms.
Remember that any whole number can be written as a fraction with denominator 1. For example, 3 = , so you can multiply normally!
Double-check your arithmetic: 2×3=6 and 7×5=35. You can also estimate: is about 0.3 and is 0.6, so 0.3×0.6≈0.18, which matches ≈0.17.
When you multiply two proper fractions (where numerator < denominator), the result is always smaller than either fraction. Think of it as taking a fraction of a fraction!
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