SSAT Upper Level Math : Fractions

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

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Example Questions

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

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

Possible Answers:

\(\displaystyle 60\)

\(\displaystyle 90\)

\(\displaystyle 120\)

\(\displaystyle 30\)

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.

\(\displaystyle 5: 5, 10, 15, 20, 25, 30\)

\(\displaystyle 6: 6, 12, 18, 24, 30\)

 

Example Question #2 : How To Find The Lowest / Least Common Denominator

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

Possible Answers:

\(\displaystyle 72\)

\(\displaystyle 81\)

\(\displaystyle 36\)

\(\displaystyle 48\)

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.

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

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

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

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

Possible Answers:

\(\displaystyle 16\)

\(\displaystyle 40\)

\(\displaystyle 20\)

\(\displaystyle 42\)

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.

\(\displaystyle 4: 4, 8, 12, 16, 20\)

\(\displaystyle 10: 10, 20\)

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

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

Possible Answers:

\(\displaystyle 36\)

\(\displaystyle 108\)

\(\displaystyle 24\)

\(\displaystyle 27\)

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.

\(\displaystyle 12: 12, 24, 36\)

\(\displaystyle 9: 9, 18, 27, 36\)

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

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

Possible Answers:

\(\displaystyle 84\)

\(\displaystyle 42\)

\(\displaystyle 36\)

\(\displaystyle 30\)

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.

\(\displaystyle 6: 6, 12, 18, 24, 30, 36, 42\)

\(\displaystyle 7: 7, 14, 21, 28, 35, 42\)

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

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

Possible Answers:

\(\displaystyle 63\)

\(\displaystyle 77\)

\(\displaystyle 55\)

\(\displaystyle 154\)

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.

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

\(\displaystyle 11: 11, 22, 33, 44, 55, 66, 77\)

Example Question #7 : How To Find The Lowest / Least Common Denominator

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

Possible Answers:

\(\displaystyle 70\)

\(\displaystyle 52\)

\(\displaystyle 35\)

\(\displaystyle 42\)

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.

\(\displaystyle 5: 5, 10, 15, 20, 25, 30, 35\)

\(\displaystyle 7: 7, 14, 21, 28, 35\)

Example Question #2 : How To Find The Lowest / Least Common Denominator

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

Possible Answers:

\(\displaystyle 12\)

\(\displaystyle 24\)

\(\displaystyle 18\)

\(\displaystyle 16\)

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.

\(\displaystyle 4: 4, 8, 12\)

\(\displaystyle 3: 3, 6, 9, 12\)

Example Question #11 : How To Find The Lowest / Least Common Denominator

Find the least common denominator for the fractions \(\displaystyle \frac{8}{15}\) and \(\displaystyle \frac{9}{10}\).

Possible Answers:

\(\displaystyle 90\)

\(\displaystyle 60\)

\(\displaystyle 45\)

\(\displaystyle 30\)

Correct answer:

\(\displaystyle 30\)

Explanation:

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

\(\displaystyle 15: 15, 30\)

\(\displaystyle 10: 10, 20, 30\)

Example Question #12 : How To Find The Lowest / Least Common Denominator

Find the least common denominator for the fractions \(\displaystyle \frac{4}{7}\) and \(\displaystyle \frac{3}{2}\)

Possible Answers:

\(\displaystyle 21\)

\(\displaystyle 14\)

\(\displaystyle 28\)

\(\displaystyle 30\)

Correct answer:

\(\displaystyle 14\)

Explanation:

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

\(\displaystyle 7: 7, 14\)

\(\displaystyle 2: 2, 4, 6, 8, 10, 12, 14\)

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