Multiply Fractions Practice

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Question 2

What is the resulting fraction when we multiply 2 1/3 with 3/4. Give the answer in the simplest form.

Answer

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Select and check your answer...

A. 2 3/4
B. 2 1/2
C. 1 3/4
D. 1 1/2

Step by Step Solution

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    Step 1

    Let's write down these fractions:

    Multiply fractions,2 1/3 with 3/4
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    Step 2

    Notice that 2 1/3 is a mixed fraction? We need to convert it into an improper fraction before we can multiply. This is shown below:

    Convert 2 1/3 to improper fraction
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    Step 3

    After the conversion, we have:

    Multiply 7/3 with 3/4
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    Step 4

    First, we multiply the numerators (7 x 3). This gives 21.

    Multiply the numerators (7 x 3 = 21)
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    Step 5

    Next, we multiply the denominators (3 x 4) together. This gives 12. Hence, we have the fraction 21/12

    Multiply the denominators (3 x 4 = 12)
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    Step 6

    Notice that 21/12 is an improper fraction? Rather than leaving the answer like this, it is better to change it into a mixed fraction:

    Convert 21/12 to mixed fraction
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    Step 7

    Next, we can simplify 1 9/12, by dividing the numerator and denominator with 3. This gives the fraction, 1 3/4:

    Simplify the fraction, 1 9/12
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    Step 8

    Here, we can no longer able to further simplify 1 3/4. Therefore, the answer is C.