Math 50 5.1 – Fractions, Mixed Numbers, and Rational Expressions 1.
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Math 50 5.1 – Fractions, Mixed Numbers, and Rational Expressions 1
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Transcript of Math 50 5.1 – Fractions, Mixed Numbers, and Rational Expressions 1.
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Math 50
5.1 – Fractions, Mixed Numbers, and Rational Expressions
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A number that describes a part of a whole is called a __________.
A fraction whose numerator and denominator are integers is called a ____________________.
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A number that describes a part of a whole is called a __________.
A fraction whose numerator and denominator are integers is called a ____________________.
fraction
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A number that describes a part of a whole is called a __________.
A fraction whose numerator and denominator are integers is called a ____________________.
fraction
rational number
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Ex 1.Name the fraction represented by each shaded region.
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Ex 1.Name the fraction represented by each shaded region.
𝟑𝟖
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Ex 1.Name the fraction represented by each shaded region.
𝟑𝟖
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Ex 1.Name the fraction represented by each shaded region.
𝟑𝟖 𝟑
𝟖
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Ex 2.Graph on a number line.
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Ex 2.Graph on a number line.
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Ex 2.Graph on a number line.
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Ex 2.Graph on a number line.
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Ex 2.Graph on a number line.
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Ex 2.Graph on a number line.
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Ex 2.Graph on a number line.
Note: All of these are equal:
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Ex 2.Graph on a number line.
Note: All of these are equal:
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Ex 2.Graph on a number line.
Note: All of these are equal:
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Ex 2.Graph on a number line.
Note: All of these are equal:
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Ex 2.Graph on a number line.
Note: All of these are equal:
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13
22
26
13
23
412
26
13
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412
26
13
13=26=412
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When two fractions name the same number(ex: , , and ), we call them ____________________.
We can get equivalent fractions by multiplying or dividing the top and bottom by the same number.
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When two fractions name the same number(ex: , , and ), we call them ____________________.
We can get equivalent fractions by multiplying or dividing the top and bottom by the same number.
equivalent fractions
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When two fractions name the same number(ex: , , and ), we call them ____________________.
We can get equivalent fractions by multiplying or dividing the top and bottom by the same number.
equivalent fractions
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Ex 4.Fill in the missing number so that the fractions are equivalent.
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Ex 5.Write the following fractions in simplest form:
undefined
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Ex 5.Write the following fractions in simplest form:
undefined
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Ex 5.Write the following fractions in simplest form:
undefined
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Ex 5.Write the following fractions in simplest form:
undefined
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Ex 5.Write the following fractions in simplest form:
undefined
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Ex 5.Write the following fractions in simplest form:
undefined
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When comparing fractions with the same denominator, just compare numerators.(ex: )
When they have different denominators(like and ), then you have to write equivalent fractions that have the same denominator before comparing.
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When comparing fractions with the same denominator, just compare numerators.(ex: )
When they have different denominators(like and ), then you have to write equivalent fractions that have the same denominator before comparing.
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Ex 6.Use to write a true statement.
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A fraction where absolute value of numerator is bigger than or equal to the absolute value of denominator is called an __________________.
ex:
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A fraction where absolute value of numerator is bigger than or equal to the absolute value of denominator is called an __________________.
ex:
improper fraction
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A fraction where absolute value of numerator is bigger than or equal to the absolute value of denominator is called an __________________.
ex:
improper fraction
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An integer combined with a fraction is called a __________________.
ex:
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An integer combined with a fraction is called a __________________.
ex:
mixed number
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An integer combined with a fraction is called a __________________.
ex:
mixed number
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Note:
45
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94=2
14
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To convert improper fractions to mixed numbers, ____________, write the quotient, and then the remainder over the denominator.
Ex 7.Write as a mixed number. Ex 8.Write as a mixed number.
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To convert improper fractions to mixed numbers, ____________, write the quotient, and then the remainder over the denominator.
Ex 7.Write as a mixed number. Ex 8.Write as a mixed number.
divide
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To convert improper fractions to mixed numbers, ____________, write the quotient, and then the remainder over the denominator.
Ex 7.Write as a mixed number. Ex 8.Write as a mixed number.
divide
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To convert mixed numbers to improper fractions, ____________ the whole part by the denominator, add the numerator, and put the result over the denominator. Ex 9.Write as an improper fraction.
Ex 10.Write as an improper fraction.
Ex 11.Write as an improper fraction.
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To convert mixed numbers to improper fractions, ____________ the whole part by the denominator, add the numerator, and put the result over the denominator. Ex 9.Write as an improper fraction.
Ex 10.Write as an improper fraction.
Ex 11.Write as an improper fraction.
multiply
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To convert mixed numbers to improper fractions, ____________ the whole part by the denominator, add the numerator, and put the result over the denominator. Ex 9.Write as an improper fraction.
Ex 10.Write as an improper fraction.
Ex 11.Write as an improper fraction.
multiply
