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Answered

If the quotient of (8/5 divided by 8/10) is added to the product of (8/14 x 7/12 x 3/8), what is the sum?

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Fractions: Word Problems

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Answer

The sum is [tex]2\dfrac{1}{8}}\ or\ \dfrac{17}{8}[/tex].

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Problem

We are to find the sum of this converted equation from the problem given above.

[tex]\displaystyle \left(\frac{8}{5}\ \div\ \frac{8}{10}\right)+\left(\frac{8}{14}\ \times\ \frac{7}{12}\ \times\ \frac{3}{8}\right)=\ \boxed{\bold{?}}[/tex]

Solution

Solve using the rules you learned in adding, multiplying, and dividing fractions. Use PEMDAS, if applicable.

  • Start with the first group/term.

[tex]\displaystyle \left(\frac{8}{5}\ \div\ \frac{8}{10}\right)[/tex]

[tex]=\dfrac{8}{5}\ \times\ \dfrac{10}{8}\\[/tex]

[tex]=\dfrac{80}{40}\\[/tex]

[tex]=\bold{2}[/tex]            ...(1)

  • Solve for the second group.

[tex]\dfrac{8}{14}\ \times\ \dfrac{7}{12}\ \times\ \dfrac{3}{8}[/tex]

[tex]=\dfrac{168}{1344}[/tex]

[tex]=\bold{\dfrac{1}{8}}[/tex]          ...(2)

  • Adding both results: (1) + (2)

[tex]2+\dfrac{1}{8}=\boxed{\bold{2\dfrac{1}{8}}\ or\ \bold{\dfrac{17}{8}}}[/tex]

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