How do you evaluate #4\frac { 1} { 3} \div 1\frac { 2} { 3} \times 2\frac { 3} { 4} \div \frac { 1} { 4}#?
Use the order of operations and change all of the terms to improper fractions so they can be divided and multiplied.
PEMDAS
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There are no Parenthesis or Exponents so the first step can be skipped. Remember an MD a doctor is only one person so Multiplication and Division must be done at the same time working from left to right
Start with
Change both to improper fractions and divide using the complex fraction theorem.
The bottom fraction and the factors of 4 divide out leaving
There are no addition or subtraction operations ( ASap) so the problem is done
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Given:
Multiply and divide according to the order of operations, starting from the left.
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This is one term with four factors that can be calculated in one step. The two operations, division and multiplication, are equally significant and can be performed in any order as long as each factor maintains its own operation.
Multiply by the reciprocal to divide.
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To evaluate the expression (4\frac{1}{3} \div 1\frac{2}{3} \times 2\frac{3}{4} \div \frac{1}{4}):

Convert mixed numbers to improper fractions: (4\frac{1}{3}) as an improper fraction is (\frac{13}{3}). (1\frac{2}{3}) as an improper fraction is (\frac{5}{3}). (2\frac{3}{4}) as an improper fraction is (\frac{11}{4}).

Perform the division and multiplication operations from left to right: (\frac{13}{3} \div \frac{5}{3} = \frac{13}{3} \times \frac{3}{5} = \frac{13}{5}) (\frac{13}{5} \times \frac{11}{4} = \frac{143}{20}) (\frac{143}{20} \div \frac{1}{4} = \frac{143}{20} \times 4 = \frac{143 \times 4}{20} = \frac{572}{20} = 28.6)
So, (4\frac{1}{3} \div 1\frac{2}{3} \times 2\frac{3}{4} \div \frac{1}{4} = 28.6).
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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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