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Mathematics

Grade-7

Easy

Question

The smallest among $4 over 9 comma fraction numerator negative 5 over denominator 6 end fraction comma fraction numerator negative 7 over denominator negative 12 end fraction comma space fraction numerator 11 over denominator negative 24 end fraction$ is ______

$\frac{4}{9}$
$\frac{- 5}{6}$
$\frac{- 7}{- 12}$
$\frac{11}{- 24}$

hint Hint:

If the numerator and the denominator of a fraction have negative signs, they cancel out and the fraction becomes positive.

The correct answer is: $fraction numerator negative 5 over denominator 6 end fraction$

We are asked to find the smallest number. $4 over 9 & fraction numerator negative 7 over denominator negative 12 end fraction$ are positive numbers. So, they cannot be the smallest.
Now, the value of $fraction numerator negative 5 over denominator 6 end fraction$ in decimal is -0.833 and the value of $fraction numerator 11 over denominator negative 24 end fraction$ in decimal is $negative 0.45833$ . Out of these values -0.833 is the least value.
Hence, the correct answer is option b.

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