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To solve this problem, follow these steps:
Let's work through it:
Step 1: Start with the expression: .
Step 2: Convert the division by 4 into multiplication by its reciprocal, . The expression becomes: .
Step 3: To multiply fractions, multiply the numerators together and the denominators together:
Numerator:
Denominator:
Therefore, the resulting fraction from the multiplication is .
There is no need for additional simplification as is already in simplest form.
Therefore, the solution to the problem is .
\( \frac{1}{2}:3= \)\( \)\( \)\( \)
Dividing by a whole number like 4 means "how many 4's fit into ?" Since is less than 1, only a fraction of 4 fits! Multiplying by gives us that exact fractional part.
Any whole number can be written as a fraction: 4 = . The reciprocal flips the fraction, so the reciprocal of is !
No! Since 3 and 16 share no common factors other than 1, is already in simplest form. Always check if your final answer can be reduced.
The same rule applies! Multiply by the reciprocal of the second fraction. For example:
When you divide by a number greater than 1, the result is always smaller! Think of it as splitting into 4 equal parts - each part must be smaller than the whole.
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