Q:

Select the factors that can be divided out to simplify the multiplication problem: 4/26 x 13/20. Select all that apply. A. 2 B. 3 C. 4 D. 5 E. 8 F. 10

Accepted Solution

A:
[tex] \dfrac{4}{26} \times \dfrac{13}{20} [/tex]

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Divide by factor of 4.
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*Or divide by the factor of 2 twice

[tex] \dfrac{1 \times 4}{26} \times \dfrac{13}{5 \times 4} [/tex]

[tex] \dfrac{1}{26} \times \dfrac{13}{5} [/tex]

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Divide by factor of 13.
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[tex] \dfrac{1}{2 \times 13} \times \ \dfrac{1 \times 13}{5} [/tex]

[tex] \dfrac{1}{2} \times \dfrac{1 }{5} [/tex]

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Combine into single fraction.
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[tex]\dfrac{1}{10}[/tex]

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Answer: The factors are 2, 4 and 13
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