Simplify $\frac{13}{3} + 5 (\frac{5}{4} - \frac{3}{2}) \div \frac{11}{8}$ $13/3 + 5(5/4 - 3/2) ÷ 11/8$ using PEMDAS?

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Simplify $\frac{13}{3} + 5 (\frac{5}{4} - \frac{3}{2}) \div \frac{11}{8}$ $13/3 + 5(5/4 - 3/2) ÷ 11/8$ using PEMDAS?

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Answer 1 · 2017-07-07T07:08:06

$\frac{13}{3} + 5 (\frac{5}{4} - \frac{3}{2}) \div \frac{11}{8} = 3 \frac{14}{33}$ $13/3 + 5(5/4 - 3/2) ÷ 11/8=3 14/33$

Explanation:

We use PEMDAS as order of operations i.e. first parentheses. then exponents (none here), then multiplication and division and finally addition and subtraction.

Hence $\frac{13}{3} + 5 (\frac{5}{4} - \frac{3}{2}) \div \frac{11}{8}$ $13/3 + 5(5/4 - 3/2) ÷ 11/8$

= $\frac{13}{3} + 5 (\frac{5}{4} - \frac{6}{4}) \div \frac{11}{8}$ $13/3 + 5(5/4 - 6/4) ÷ 11/8$

= $\frac{13}{3} + 5 (- \frac{1}{4}) \div \frac{11}{8}$ $13/3 + 5( - 1/4) ÷ 11/8$ (solving parentheses)

= $\frac{13}{3} - \frac{5}{4} \times \frac{8}{11}$ $13/3 - 5/4 xx 8/11$ (multiplication and division)

= $13/3 - 5/cancel4^1 xx cancel8^2/11$

= $13/3-10/11$ (addition and subtraction)

= $(13xx11)/(3xx11)-(10xx3)/(11xx3)$

= $143/33-30/33$

= $113/33$

= $3 14/33$

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Simplify $\frac{13}{3} + 5 (\frac{5}{4} - \frac{3}{2}) \div \frac{11}{8}$ $13/3 + 5(5/4 - 3/2) ÷ 11/8$ using PEMDAS?

1 Answer

Explanation:

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Simplify 13/3 + 5(5/4 - 3/2) ÷ 11/8133+5(54−32)÷11813/3 + 5(5/4 - 3/2) ÷ 11/8 using PEMDAS?

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Explanation:

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Simplify $\frac{13}{3} + 5 (\frac{5}{4} - \frac{3}{2}) \div \frac{11}{8}$ $13/3 + 5(5/4 - 3/2) ÷ 11/8$ using PEMDAS?