Question 5(i) :

How quickly can you do this? Fill appropriate sign (<, =, >):

$\frac{3}{4} □ \frac{7}{8}$

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Solution

The given fractions $\frac{3}{4}, \frac{7}{8}$ are unlike fractions because they have different denominators.

When we compare two unlike fractions, we first get their equivalent fractions with a denominator which is a common multiple of the denominators of both the fractions.

The LCM of 4 and 8 is 8.

The equivalent fractions with the same denominator are :

$\frac{3}{4} = \frac{3 \times 2}{4 \times 2} = \frac{6}{8}$ and $\frac{7}{8} = \frac{7 \times 1}{8 \times 1} = \frac{7}{8}$

Now, $\frac{6}{8} < \frac{7}{8}$

$∴$ $\frac{3}{4} < \frac{7}{8}$

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How quickly can you do this? Fill appropriate sign (<, =, >):

$\frac{3}{4} □ \frac{2}{8}$

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$\frac{2}{4} □ \frac{3}{6}$

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$\frac{7}{9} □ \frac{3}{6}$

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$\frac{1}{4} □ \frac{2}{8}$

Question 5(h) :

How quickly can you do this? Fill appropriate sign (<, =, >):

$\frac{6}{10} □ \frac{4}{5}$

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