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SSAT Upper Level Math : How to find the lowest / least common denominator

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All SSAT Upper Level Math Resources

6 Diagnostic Tests 311 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : Lowest Common Denominator

Find the least common denominator for the fractions $\frac{9}{16}$ $\displaystyle \frac{9}{16}$ and $\frac{4}{5}$ $\displaystyle \frac{4}{5}$ .

Possible Answers:

$\displaystyle 64$

$\displaystyle 48$

$\displaystyle 80$

$\displaystyle 50$

Correct answer:

$\displaystyle 80$

Explanation:

To find the least common denominator, list out the multiples for each denominator then choose the lowest one that appears in both sets.

$\displaystyle 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80$

$\displaystyle 16: 16, 32, 48, 64, 80$

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Example Question #1 : Lowest Common Denominator

Find the least common denominator for the fractions $\frac{1}{14}$ $\displaystyle \frac{1}{14}$ and $\frac{7}{28}$ $\displaystyle \frac{7}{28}$ .

Possible Answers:

$\displaystyle 70$

$\displaystyle 48$

$\displaystyle 28$

160 $\displaystyle 160$

Correct answer:

$\displaystyle 28$

Explanation:

To find the least common denominator, list out the multiples for each denominator then choose the lowest one that appears in both sets.

$\displaystyle 14: 14, 28$

$\displaystyle 28:28, 56$

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Example Question #2 : Lowest Common Denominator

What is the least common denominator for the fractions $\frac{1}{5}$ $\displaystyle \frac{1}{5}$ and $\frac{5}{6}$ $\displaystyle \frac{5}{6}$ ?

Possible Answers:

$\displaystyle 30$

$\displaystyle 60$

$\displaystyle 90$

120 $\displaystyle 120$

Correct answer:

$\displaystyle 30$

Explanation:

To find the least common denominator, list out the multiples for each denominator then choose the lowest one that is in both sets.

$\displaystyle 5: 5, 10, 15, 20, 25, 30$

$\displaystyle 6: 6, 12, 18, 24, 30$

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Example Question #3 : Lowest Common Denominator

Find the least common denominator for the fractions $\frac{1}{8}$ $\displaystyle \frac{1}{8}$ and ${}\frac{8}{9}$ $\displaystyle {}\frac{8}{9}$ .

Possible Answers:

$\displaystyle 72$

$\displaystyle 48$

$\displaystyle 81$

$\displaystyle 36$

Correct answer:

$\displaystyle 72$

Explanation:

To find the least common denominator, list out the multiples for each denominator then choose the lowest one that appears in both sets.

$\displaystyle 8: 8, 16, 24, 32, 48, 56, 64, 72$

$\displaystyle 9: 9, 18, 27, 36, 45, 54, 63, 72$

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Example Question #1 : How To Find The Lowest / Least Common Denominator

Find the least common denominator for the fractions $\frac{9}{10}$ $\displaystyle \frac{9}{10}$ and $\frac{3}{4}$ $\displaystyle \frac{3}{4}$ .

Possible Answers:

$\displaystyle 40$

$\displaystyle 42$

$\displaystyle 16$

$\displaystyle 20$

Correct answer:

$\displaystyle 20$

Explanation:

To find the least common denominator, list out the multiples for each denominator then choose the lowest one that appears in both sets.

$\displaystyle 4: 4, 8, 12, 16, 20$

$\displaystyle 10: 10, 20$

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Example Question #261 : Number Concepts And Operations

Find the least common denominator for the fractions $\frac{5}{12}$ $\displaystyle \frac{5}{12}$ and $\frac{4}{9}$ $\displaystyle \frac{4}{9}$ .

Possible Answers:

$\displaystyle 36$

108 $\displaystyle 108$

$\displaystyle 24$

$\displaystyle 27$

Correct answer:

$\displaystyle 36$

Explanation:

To find the least common denominator, list out the multiples for each denominator then choose the lowest one that appears in both sets.

$\displaystyle 12: 12, 24, 36$

$\displaystyle 9: 9, 18, 27, 36$

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Example Question #4 : Lowest Common Denominator

Find the least common denominator for the fractions $\frac{5}{6}$ $\displaystyle \frac{5}{6}$ and $\frac{2}{7}$ $\displaystyle \frac{2}{7}$ .

Possible Answers:

$\displaystyle 30$

$\displaystyle 42$

$\displaystyle 84$

$\displaystyle 36$

Correct answer:

$\displaystyle 42$

Explanation:

To find the least common denominator, list out the multiples for each denominator then choose the lowest one that appears in both sets.

$\displaystyle 6: 6, 12, 18, 24, 30, 36, 42$

$\displaystyle 7: 7, 14, 21, 28, 35, 42$

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Example Question #5 : Lowest Common Denominator

Find the least common denominator for the fractions $\frac{1}{11}$ $\displaystyle \frac{1}{11}$ and $\frac{4}{7}$ $\displaystyle \frac{4}{7}$ .

Possible Answers:

154 $\displaystyle 154$

$\displaystyle 55$

$\displaystyle 63$

$\displaystyle 77$

Correct answer:

$\displaystyle 77$

Explanation:

To find the least common denominator, list out the multiples for each denominator then choose the lowest one that appears in both sets.

$\displaystyle 7: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77$

$\displaystyle 11: 11, 22, 33, 44, 55, 66, 77$

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Example Question #3 : How To Find The Lowest / Least Common Denominator

Find the least common denominator for the fractions $\frac{4}{5}$ $\displaystyle \frac{4}{5}$ and $\frac{8}{7}$ $\displaystyle \frac{8}{7}$ .

Possible Answers:

$\displaystyle 52$

$\displaystyle 70$

$\displaystyle 42$

$\displaystyle 35$

Correct answer:

$\displaystyle 35$

Explanation:

To find the least common denominator, list out the multiples for each denominator then choose the lowest one that appears in both sets.

$\displaystyle 5: 5, 10, 15, 20, 25, 30, 35$

$\displaystyle 7: 7, 14, 21, 28, 35$

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Example Question #4 : How To Find The Lowest / Least Common Denominator

Find the least common denominator for the fractions $\frac{9}{4}$ $\displaystyle \frac{9}{4}$ and $\frac{2}{3}$ $\displaystyle \frac{2}{3}$ .

Possible Answers:

$\displaystyle 16$

$\displaystyle 24$

$\displaystyle 12$

$\displaystyle 18$

Correct answer:

$\displaystyle 12$

Explanation:

To find the least common denominator, list out the multiples for each denominator then choose the lowest one that appears in both sets.

$\displaystyle 4: 4, 8, 12$

$\displaystyle 3: 3, 6, 9, 12$

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All SSAT Upper Level Math Resources

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SSAT Upper Level Math : How to find the lowest / least common denominator

Study concepts, example questions & explanations for SSAT Upper Level Math

All SSAT Upper Level Math Resources

Example Questions

Example Question #1 : Lowest Common Denominator

Example Question #1 : Lowest Common Denominator

Example Question #2 : Lowest Common Denominator

Example Question #3 : Lowest Common Denominator

Example Question #1 : How To Find The Lowest / Least Common Denominator

Example Question #261 : Number Concepts And Operations

Example Question #4 : Lowest Common Denominator

Example Question #5 : Lowest Common Denominator

Example Question #3 : How To Find The Lowest / Least Common Denominator

Example Question #4 : How To Find The Lowest / Least Common Denominator

All SSAT Upper Level Math Resources

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