Multiply. Write your answer in simplest form.
$\frac{7}{11} \times \frac{1}{4}$
Answer (2)
To multiply 11 7 by 4 1 , multiply the numerators to get 7 and the denominators to get 44, resulting in 44 7 . This fraction is already in simplest form. Therefore, the answer is 44 7 .
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Multiply the numerators: 7 × 1 = 7 .
Multiply the denominators: 11 × 4 = 44 .
Write the resulting fraction: 44 7 .
Simplify the fraction (if possible): 44 7 is already in simplest form, so the final answer is 44 7 .
Explanation
Understanding the Problem We need to multiply two fractions, 11 7 and 4 1 , and simplify the result.
Multiplying the Fractions To multiply fractions, we multiply the numerators together and the denominators together. So, we have: 11 7 × 4 1 = 11 × 4 7 × 1
Calculating the Result Now, we perform the multiplication: 7 × 1 = 7 11 × 4 = 44 So, the resulting fraction is: 44 7
Simplifying the Fraction Finally, we need to check if the fraction 44 7 can be simplified. The factors of 7 are only 1 and 7, since 7 is a prime number. The factors of 44 are 1, 2, 4, 11, 22, and 44. Since 7 is not a factor of 44, the fraction is already in its simplest form. Therefore, the final answer is 44 7 .
Final Answer The result of multiplying 11 7 and 4 1 in simplest form is 44 7 .
Examples
Understanding fraction multiplication is essential in many real-life scenarios. For instance, when baking, you might need to halve a recipe that calls for 3 2 cup of flour. To find the new amount, you multiply 2 1 × 3 2 , resulting in 3 1 cup of flour. This skill is also useful in calculating proportions, such as determining the portion of a pizza each person gets if it's divided into fractions.
