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(a)
Multiply the mixed fractions and reduce to lowest term.
Answer to Problem 13A
The multiplication of fractions is
Explanation of Solution
Given:
The number is
Concept used:
Convert mixed fraction into improper fractions. Multiply all the numerators and denominators of all fractions with each other to get the product and reduce it to lowest form by greatest common factor.
Calculation:
The improper fraction of mixed number
The improper fraction of
Multiply
Multiply the numerators
Multiply the denominators
Therefore, the multiplication of fractions is as follows:
The greatest common factor of
Divide numerator and denominator of fraction by
The mixed conversion of
The mixed conversion of
Thus, the multiplication of fractions is
Conclusion:
The multiplication of fractions is
(b)
Multiply the mixed fractions and reduce to lowest term.
Answer to Problem 13A
The multiplication of fractions is
Explanation of Solution
Given:
The number is
Concept used:
Convert mixed fraction into improper fractions. Multiply all the numerators and denominators of all fractions with each other to get the product and reduce it to lowest form by greatest common factor.
Calculation:
The improper fraction of mixed number
The improper fraction of
Multiply
Multiply the numerators
Multiply the denominators
Therefore, the multiplication of fractions is as follows:
The mixed conversion of
The mixed conversion of
Thus, the multiplication of fractions is
Conclusion:
The multiplication of fractions is
(c)
Multiply the mixed fractions and reduce to lowest term.
Answer to Problem 13A
The multiplication of fractions is
Explanation of Solution
Given:
The number is
Concept used:
Convert mixed fraction into improper fractions. Multiply all the numerators and denominators of all fractions with each other to get the product and reduce it to lowest form by greatest common factor.
Calculation:
The improper fraction of mixed number
The improper fraction of
Multiply
Multiply the numerators
Multiply the denominators
Therefore, the multiplication of fractions is as follows:
The mixed conversion of
The mixed conversion of
Thus, the multiplication of fractions is
Conclusion:
The multiplication of fractions is
(d)
Multiply the mixed fractions and reduce to lowest term.
Answer to Problem 13A
The multiplication of fractions is
Explanation of Solution
Given:
The number is
Concept used:
Convert mixed fraction into improper fractions. Multiply all the numerators and denominators of all fractions with each other to get the product and reduce it to lowest form by greatest common factor.
Calculation:
The improper fraction of mixed number
The improper fraction of
The third is already in improper fraction that is
Multiply
Multiply the numerators
Multiply the denominators
Therefore, the multiplication of fractions is as follows:
The greatest common factor of
Divide numerator and denominator of fraction by
The mixed conversion of
The mixed conversion of
Thus, the multiplication of fractions is
Conclusion:
The multiplication of fractions is
(e)
Multiply the mixed fractions and reduce to lowest term.
Answer to Problem 13A
The multiplication of fractions is
Explanation of Solution
Given:
The number is
Concept used:
Convert mixed fraction into improper fractions. Multiply all the numerators and denominators of all fractions with each other to get the product and reduce it to lowest form by greatest common factor.
Calculation:
The improper fraction of mixed number
The second number is
The third is already in improper fraction that is
Multiply
Multiply the numerators
Multiply the denominators
Therefore, the multiplication of fractions is as follows:
Thus, the multiplication of fractions is
Conclusion:
The multiplication of fractions is
(f)
Multiply the mixed fractions and reduce to lowest term.
Answer to Problem 13A
The multiplication of fractions is
Explanation of Solution
Given:
The number is
Concept used:
Convert mixed fraction into improper fractions. Multiply all the numerators and denominators of all fractions with each other to get the product and reduce it to lowest form by greatest common factor.
Calculation:
The improper fraction of first mixed number
The improper fraction of second mixed number
The improper fraction of third mixed number
Multiply
Multiply the numerators
Multiply the denominators
Therefore, the multiplication of fractions is as follows:
The greatest common factor of
Divide numerator and denominator of fraction by
The mixed conversion of
The mixed conversion of
Thus, the multiplication of fractions is
Conclusion:
The multiplication of fractions is
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Chapter 4 Solutions
Mathematics For Machine Technology
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