Descending order of the numbers 4/3,-3/2,-9/8,7/4 is:

Correct Answer is : 74,43,−98,−327/4,4/3,-9/8,-3/247,34,8−9,2−3

Descending order of the numbers 4/3,-3/2,-9/8,7/4 is:

Correct Answer is : 74,43,−98,−327/4,4/3,-9/8,-3/247,34,8−9,2−3

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CTET Paper II (Mathematics and Science) 9 Jan 2023 Solved Paper

Question : 33 of 150

Marks: +1, -0

\frac{4}{3},\frac{-3}{2},\frac{-9}{8},\frac{7}{4}

is:

$\frac{7}{4},\frac{4}{3},\frac{-3}{2},\frac{-9}{8}$
$\frac{-3}{2},\frac{-9}{8},\frac{7}{4},\frac{4}{3}$
$\frac{7}{4},\frac{-3}{2},\frac{4}{3},\frac{-9}{8}$
$\frac{7}{4},\frac{4}{3},\frac{-9}{8},\frac{-3}{2}$

Validate

Solution:

Concept:

To compare fractions with different denominators, convert them to a common denominator. Then arrange by numerator in descending order (largest to smallest).

Explanation:

Find the LCM of denominators 3, 2, 4, and 8. The LCM is 24.

Convert each fraction:

\frac{4}{3} = \frac{4 \times 8}{3 \times 8} = \frac{32}{24}

\frac{-3}{2} = \frac{-3 \times 12}{2 \times 12} = \frac{-36}{24}

\frac{-9}{8} = \frac{-9 \times 3}{8 \times 3} = \frac{-27}{24}

\frac{7}{4} = \frac{7 \times 6}{4 \times 6} = \frac{42}{24}

Now compare numerators:

42 > 32 > -27 > -36

Descending order of numerators gives:

\frac{42}{24}, \frac{32}{24}, \frac{-27}{24}, \frac{-36}{24}

Convert back:

\frac{7}{4}, \frac{4}{3}, \frac{-9}{8}, \frac{-3}{2}

Answer:

\frac{7}{4},\frac{4}{3},\frac{-9}{8},\frac{-3}{2}

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