Divide $6/13$ by $6/12$.
Answer (2)
To divide 13 6 by 12 6 , we multiply by the reciprocal of the second fraction, resulting in 13 12 . The simplification involves canceling common factors. Therefore, the final result is 13 12 .
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Set up the division problem as 6/12 6/13 .
Rewrite the division as multiplication by the reciprocal: 13 6 × 6 12 .
Simplify the expression by canceling the common factor of 6: 13 1 × 12 .
Calculate the final result: 13 12 .
Explanation
Understanding the Problem We are asked to divide 13 6 by 12 6 . This means we need to calculate 6/12 6/13 .
Rewriting as Multiplication To divide by a fraction, we multiply by its reciprocal. So, we rewrite the division as a multiplication: 13 6 ÷ 12 6 = 13 6 × 6 12 .
Simplifying the Expression Now, we simplify the expression by canceling the common factor of 6 in the numerator and the denominator: 13 6 × 6 12 = 13 1 × 1 12 = 13 12 .
Calculating the Result Therefore, the result of dividing 13 6 by 12 6 is 13 12 .
Examples
In cooking, if a recipe calls for 13 6 of a cup of flour and you only have 12 6 of a cup, dividing 13 6 by 12 6 tells you how many times the amount you have fits into the recipe's requirement. This helps you adjust the recipe accordingly or determine if you have enough of the ingredient.
