What is 3/2 Divided by 11/6?

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This text will help you understand how to divide fractions by breaking down the problem into small, manageable steps using the example of \( \frac{3}{2} \) divided by \( \frac{11}{6} \).

The problem can be broken down as follows:

• Numerator of the dividend (first fraction): 3
• Denominator of the dividend (first fraction): 2
• Numerator of the divisor (second fraction): 11
• Denominator of the divisor (second fraction): 6

To find the answer to the problem, follow these steps:

Step 1: Multiply the numerator of the dividend (3) by the denominator of the divisor (6), which will become the numerator of the answer. So, \(3*6 = 18\)

Step 2: Multiply the denominator of the dividend (2) by the numerator of the divisor (11), which will become the denominator of the answer. So, \(2*11 = 22\)

Step 3: The answer in fraction form is \( \frac{18}{22} \) which simplifies to \( \frac{9}{11} \)

To convert the answer into decimal form, divide the numerator (18) by the denominator (22) and round off to three decimal points if necessary. So, \( \frac{18}{22} = 0.818 \)

Hence, in decimal form, \( \frac{3}{2} \) divided by \( \frac{11}{6} \) equals 0.818 and in fractional form, it equals \( \frac{9}{11} \).

Try solving similar problems to improve your skills:

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• What is 4 divided by \( \frac{14}{7} \)?

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