Divide $6 / 13$ by $6 / 12$.
A) $13 / 12$
B) $9 / 16$
C) $12 / 13$
D) $1 / 12$
Answer (2)
To divide 13 6 by 12 6 , multiply 13 6 by the reciprocal of 12 6 , which is 6 12 .
Simplify the expression: 13 6 × 6 12 = 13 1 × 1 12 .
Multiply the fractions: 13 1 × 1 12 = 13 12 .
The final answer is 13 12 .
Explanation
Understanding the Problem We are asked to divide the fraction 13 6 by the fraction 12 6 .
Dividing Fractions To divide 13 6 by 12 6 , we multiply 13 6 by the reciprocal of 12 6 , which is 6 12 . So, the expression becomes 13 6 ÷ 12 6 = 13 6 × 6 12 .
Simplifying the Expression Simplify the expression by cancelling the common factor of 6 in the numerator and denominator: 13 6 × 6 12 = 13 1 × 1 12 .
Multiplying Fractions Multiply the fractions: 13 1 × 1 12 = 13 12 .
Final Answer The result is 13 12 . Comparing the result with the given options, we see that option C is the correct one.
Examples
Fractions are used in everyday life, such as when cooking, baking, or measuring ingredients. For example, if a recipe calls for 2 1 cup of flour and you only want to make half of the recipe, you would need to divide 2 1 by 2, which is the same as multiplying 2 1 by 2 1 , resulting in 4 1 cup of flour. Understanding how to divide fractions is essential for accurately adjusting recipes and ensuring the desired outcome.
To divide 13 6 by 12 6 , we multiply by the reciprocal, yielding 13 12 . The correct answer is option C: 13 12 .
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