Question

⁶-⁸ ____¹-² compare the following frictions with ½
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Answer 1

Answer:

In comparing unlike fractions, we first convert them into like fractions by using the following steps and then compare them.

Step I:

Obtain the denominators of the fractions and find their LCM (least common multiple).

Step II:

Each fractions are converted to its equivalent fraction with denominator equal to the LCM (least common multiple) obtained in Step I.

Step III:

Compare the numerators of the equivalent fractions whose denominators are same.

Solved Examples on Comparing Unlike Fractions:

1. Which is larger ³/₄ or ⁵/₁₂ ?

Solution:

Let us first find the LCM (least common multiple) of the denominators 4 and 12.

We have,

Comparing Unlike Fractions

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Therefore, LCM (least common multiple) of 4 and 12 is 2 × 2 × 3 = 12.

Now we convert the given fractions to equivalent fractions with denominator 12

We have,

3/4 = (3 × 3)/(4 × 3) = 9/12

5/12 = (5 × 1)/(12 × 1) = 5/12

Now we will observe the numerator, that is 9 > 5.

So, ⁹/₁₂ > ⁵/₁₂

Therefore, ³/₄ > ⁵/₁₂.

2. Compare ⁷/₈ and ⁵/₆.

Solution:

First we find the LCM of denominators .

We have,

Comparing Unlike Fractions

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Therefore, LCM (least common multiple) = 2 × 2 × 2 × 3 = 24.

Now, we convert each fraction into equivalent fraction with 24 as its denominator.

We have,

7/8 = (7 × 3)/(8 × 3) = 21/

Step-by-step explanation:

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