Express 3 16 , 7 4 , 1 2 , and 5 8 as equivalent fractions having the lowest common denominator.

Question

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Answer 1

Textbook Question

Chapter 6, Problem 1A

Express 3 16 , 7 4 , 1 2 , and 5 8 as equivalent fractions having the lowest common denominator.

Expert Solution & Answer

To determine

Evaluate the lowest common denominator and its equivalent fraction.

Answer to Problem 1A

The equivalent fractions are 316, 2816, 816 and 1016.

Explanation of Solution

Given:

Fractions are 316, 74, 12 and 58.

Concept used:

Lowest common denominator is the smallest number which divides all the denominators of the fractions with zero remainder. Divide the lowest common number by denominator and then obtained value is multiplied with each fraction on numerator and denominator.

Calculation:

Prime factorizations of the denominators are given as follows:

2=1×24=1×228=1×2316=1×24

The lowest common denominator is given as follows:

⇒ 1×24⇒ 16

Divide 16 by first fraction denominator 16.

⇒ 16÷16⇒ 1

Multiply 1 with first fraction 316 on numerator and denominator.

316=3×116×1=316

Divide 16 by second fraction denominator 4.

⇒ 16÷4⇒ 4

Multiply 4 with second fraction 74 on numerator and denominator.

74=7×44×4=2816

Divide 16 by third fraction denominator 2.

⇒ 16÷2⇒ 8

Multiply 8 with third fraction 12 on numerator and denominator.

12=1×82×8=816

Divide 16 by fourth fraction denominator 8.

⇒ 16÷8⇒ 2

Multiply 2 with fourth fraction 58 on numerator and denominator.

58=5×28×2=1016

Thus, the equivalent fractions are 316, 2816, 816 and 1016.

Conclusion:

The equivalent fractions are 316, 2816, 816 and 1016.

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Answer 2

Textbook Question

Chapter 6, Problem 1A

Express 3 16 , 7 4 , 1 2 , and 5 8 as equivalent fractions having the lowest common denominator.

Expert Solution & Answer

To determine

Evaluate the lowest common denominator and its equivalent fraction.

Answer to Problem 1A

The equivalent fractions are 316, 2816, 816 and 1016.

Explanation of Solution

Given:

Fractions are 316, 74, 12 and 58.

Concept used:

Lowest common denominator is the smallest number which divides all the denominators of the fractions with zero remainder. Divide the lowest common number by denominator and then obtained value is multiplied with each fraction on numerator and denominator.

Calculation:

Prime factorizations of the denominators are given as follows:

2=1×24=1×228=1×2316=1×24

The lowest common denominator is given as follows:

⇒ 1×24⇒ 16

Divide 16 by first fraction denominator 16.

⇒ 16÷16⇒ 1

Multiply 1 with first fraction 316 on numerator and denominator.

316=3×116×1=316

Divide 16 by second fraction denominator 4.

⇒ 16÷4⇒ 4

Multiply 4 with second fraction 74 on numerator and denominator.

74=7×44×4=2816

Divide 16 by third fraction denominator 2.

⇒ 16÷2⇒ 8

Multiply 8 with third fraction 12 on numerator and denominator.

12=1×82×8=816

Divide 16 by fourth fraction denominator 8.

⇒ 16÷8⇒ 2

Multiply 2 with fourth fraction 58 on numerator and denominator.

58=5×28×2=1016

Thus, the equivalent fractions are 316, 2816, 816 and 1016.

Conclusion:

The equivalent fractions are 316, 2816, 816 and 1016.

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Answer 3

Textbook Question

Chapter 6, Problem 1A

Express 3 16 , 7 4 , 1 2 , and 5 8 as equivalent fractions having the lowest common denominator.

Expert Solution & Answer

To determine

Evaluate the lowest common denominator and its equivalent fraction.

Answer to Problem 1A

The equivalent fractions are 316, 2816, 816 and 1016.

Explanation of Solution

Given:

Fractions are 316, 74, 12 and 58.

Concept used:

Lowest common denominator is the smallest number which divides all the denominators of the fractions with zero remainder. Divide the lowest common number by denominator and then obtained value is multiplied with each fraction on numerator and denominator.

Calculation:

Prime factorizations of the denominators are given as follows:

2=1×24=1×228=1×2316=1×24

The lowest common denominator is given as follows:

⇒ 1×24⇒ 16

Divide 16 by first fraction denominator 16.

⇒ 16÷16⇒ 1

Multiply 1 with first fraction 316 on numerator and denominator.

316=3×116×1=316

Divide 16 by second fraction denominator 4.

⇒ 16÷4⇒ 4

Multiply 4 with second fraction 74 on numerator and denominator.

74=7×44×4=2816

Divide 16 by third fraction denominator 2.

⇒ 16÷2⇒ 8

Multiply 8 with third fraction 12 on numerator and denominator.

12=1×82×8=816

Divide 16 by fourth fraction denominator 8.

⇒ 16÷8⇒ 2

Multiply 2 with fourth fraction 58 on numerator and denominator.

58=5×28×2=1016

Thus, the equivalent fractions are 316, 2816, 816 and 1016.

Conclusion:

The equivalent fractions are 316, 2816, 816 and 1016.

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Answer 4

Textbook Question

Chapter 6, Problem 1A

Express 3 16 , 7 4 , 1 2 , and 5 8 as equivalent fractions having the lowest common denominator.

Expert Solution & Answer

To determine

Evaluate the lowest common denominator and its equivalent fraction.

Answer to Problem 1A

The equivalent fractions are 316, 2816, 816 and 1016.

Explanation of Solution

Given:

Fractions are 316, 74, 12 and 58.

Concept used:

Lowest common denominator is the smallest number which divides all the denominators of the fractions with zero remainder. Divide the lowest common number by denominator and then obtained value is multiplied with each fraction on numerator and denominator.

Calculation:

Prime factorizations of the denominators are given as follows:

2=1×24=1×228=1×2316=1×24

The lowest common denominator is given as follows:

⇒ 1×24⇒ 16

Divide 16 by first fraction denominator 16.

⇒ 16÷16⇒ 1

Multiply 1 with first fraction 316 on numerator and denominator.

316=3×116×1=316

Divide 16 by second fraction denominator 4.

⇒ 16÷4⇒ 4

Multiply 4 with second fraction 74 on numerator and denominator.

74=7×44×4=2816

Divide 16 by third fraction denominator 2.

⇒ 16÷2⇒ 8

Multiply 8 with third fraction 12 on numerator and denominator.

12=1×82×8=816

Divide 16 by fourth fraction denominator 8.

⇒ 16÷8⇒ 2

Multiply 2 with fourth fraction 58 on numerator and denominator.

58=5×28×2=1016

Thus, the equivalent fractions are 316, 2816, 816 and 1016.

Conclusion:

The equivalent fractions are 316, 2816, 816 and 1016.

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Answer 5

Textbook Question

Answer 6

Textbook Question

Answer 7

Expert Solution & Answer

To determine

Evaluate the lowest common denominator and its equivalent fraction.

Answer to Problem 1A

The equivalent fractions are 316, 2816, 816 and 1016.

Explanation of Solution

Given:

Fractions are 316, 74, 12 and 58.

Concept used:

Lowest common denominator is the smallest number which divides all the denominators of the fractions with zero remainder. Divide the lowest common number by denominator and then obtained value is multiplied with each fraction on numerator and denominator.

Calculation:

Prime factorizations of the denominators are given as follows:

2=1×24=1×228=1×2316=1×24

The lowest common denominator is given as follows:

⇒ 1×24⇒ 16

Divide 16 by first fraction denominator 16.

⇒ 16÷16⇒ 1

Multiply 1 with first fraction 316 on numerator and denominator.

316=3×116×1=316

Divide 16 by second fraction denominator 4.

⇒ 16÷4⇒ 4

Multiply 4 with second fraction 74 on numerator and denominator.

74=7×44×4=2816

Divide 16 by third fraction denominator 2.

⇒ 16÷2⇒ 8

Multiply 8 with third fraction 12 on numerator and denominator.

12=1×82×8=816

Divide 16 by fourth fraction denominator 8.

⇒ 16÷8⇒ 2

Multiply 2 with fourth fraction 58 on numerator and denominator.

58=5×28×2=1016

Thus, the equivalent fractions are 316, 2816, 816 and 1016.

Conclusion:

The equivalent fractions are 316, 2816, 816 and 1016.

Answer 8

Expert Solution & Answer

To determine

Evaluate the lowest common denominator and its equivalent fraction.

Answer to Problem 1A

The equivalent fractions are 316, 2816, 816 and 1016.

Explanation of Solution

Given:

Fractions are 316, 74, 12 and 58.

Concept used:

Lowest common denominator is the smallest number which divides all the denominators of the fractions with zero remainder. Divide the lowest common number by denominator and then obtained value is multiplied with each fraction on numerator and denominator.

Calculation:

Prime factorizations of the denominators are given as follows:

2=1×24=1×228=1×2316=1×24

The lowest common denominator is given as follows:

⇒ 1×24⇒ 16

Divide 16 by first fraction denominator 16.

⇒ 16÷16⇒ 1

Multiply 1 with first fraction 316 on numerator and denominator.

316=3×116×1=316

Divide 16 by second fraction denominator 4.

⇒ 16÷4⇒ 4

Multiply 4 with second fraction 74 on numerator and denominator.

74=7×44×4=2816

Divide 16 by third fraction denominator 2.

⇒ 16÷2⇒ 8

Multiply 8 with third fraction 12 on numerator and denominator.

12=1×82×8=816

Divide 16 by fourth fraction denominator 8.

⇒ 16÷8⇒ 2

Multiply 2 with fourth fraction 58 on numerator and denominator.

58=5×28×2=1016

Thus, the equivalent fractions are 316, 2816, 816 and 1016.

Conclusion:

The equivalent fractions are 316, 2816, 816 and 1016.

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

To determine

Evaluate the lowest common denominator and its equivalent fraction.

Answer 12

Answer to Problem 1A

The equivalent fractions are 316, 2816, 816 and 1016.

Answer 13

Explanation of Solution

Given:

Fractions are 316, 74, 12 and 58.

Concept used:

Lowest common denominator is the smallest number which divides all the denominators of the fractions with zero remainder. Divide the lowest common number by denominator and then obtained value is multiplied with each fraction on numerator and denominator.

Calculation:

Prime factorizations of the denominators are given as follows:

2=1×24=1×228=1×2316=1×24