Which of the following is smaller than 199/30 ?

Correct Answer is : 2353/553 + 3565/665

Correct Answer is : 2353/553 + 3565/665

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CTET Paper II (Mathematics and Science) 23 Dec 2021 Solved Paper

Question : 31 of 150

Marks: +1, -0

\frac{199}{30}

Solution:

Concept:

Compare sums of mixed fractions by converting them to improper fractions with a common denominator.

Explanation:

Convert each option to an improper fraction with denominator 30.

Option A:

2\frac{3}{5}+3\frac{5}{6} = (2+3) + (\frac{3}{5}+\frac{5}{6}) = 5 + \frac{18+25}{30} = 5 + \frac{43}{30} = 6\frac{13}{30} = \frac{193}{30}

. This is less than

\frac{199}{30}

Option B:

2\frac{4}{5}+3\frac{5}{6} = 5 + \frac{24+25}{30} = 5 + \frac{49}{30} = 6\frac{19}{30} = \frac{199}{30}

. Equal, not smaller.

Option C:

3\frac{7}{10}+3\frac{1}{3} = 6 + \frac{21+10}{30} = 6 + \frac{31}{30} = 7\frac{1}{30} = \frac{211}{30}

. Larger.

Option D:

6 + \frac{19}{30} = 6\frac{19}{30} = \frac{199}{30}

. Equal, not smaller.

Only Option A gives a value smaller than

\frac{199}{30}

Answer:

Option A:

2\frac{3}{5}+3\frac{5}{6}

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