Simplify #13/3 + 5(5/4  3/2) ÷ 11/8# using PEMDAS?
We use PEMDAS as order of operations i.e. first parentheses. then exponents (none here), then multiplication and division and finally addition and subtraction.
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To simplify the expression (\frac{13}{3} + 5\left(\frac{5}{4}  \frac{3}{2}\right) \div \frac{11}{8}) using the order of operations (PEMDAS), follow these steps:

Simplify the expression inside the parentheses first: [5\left(\frac{5}{4}  \frac{3}{2}\right) = 5\left(\frac{5}{4}  \frac{6}{4}\right) = 5\left(\frac{1}{4}\right) = \frac{5}{4}]

Rewrite the expression with the simplified part: [\frac{13}{3} + (\frac{5}{4}) \div \frac{11}{8}]

Perform the division operation: [\frac{5}{4} \div \frac{11}{8} = \frac{5}{4} \times \frac{8}{11} = \frac{40}{44} = \frac{10}{11}]

Rewrite the expression with the result of the division: [\frac{13}{3}  \frac{10}{11}]

Find a common denominator and combine the fractions: [\frac{13 \times 11}{3 \times 11}  \frac{10 \times 3}{11 \times 3}] [= \frac{143}{33}  \frac{30}{33}]

Combine the fractions: [= \frac{143  30}{33}] [= \frac{113}{33}]
So, the simplified form of the expression is (\frac{113}{33}).
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When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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