Find the difference:(i) 9 – 5 (2/3)(ii) 4 (3/10) – 1 (2/15)

1.	Find the difference:(i) 9 – 5 (2/3)(ii) 4 (3/10) – 1 (2/15)
Answer» (i) Given 9 – 5 (2/3) First convert the given mixed fraction into improper fraction. We get 5 (2/3) = (17/3) To find the difference we have to make it equivalent fractions. Taking LCM of 1 and 3 is 3. Now converting the given fractions into equivalent fractions with denominator 3. Equivalent fractions are (27/3) and (17/3) 9 – 5 (2/3) = (27/3) – (17/3) = (10/3) (ii) Given 4 (3/10) – 1 (2/15) First convert the given mixed fraction into improper fraction. We get (43/10) and (17/15) To find the difference we have to make it equivalent fractions. Taking LCM of 10 and 15 is 30. Now converting the given fractions into equivalent fractions with denominator 30. Equivalent fractions are (129/30) and (34/30) 4 (3/10) – 1 (2/15) = (43/10) – (17/15) = (129/30) – (34/30) = (129 – 34)/30 = (95/30) = (19/6)

Answer»

(i) Given 9 – 5 (2/3)

First convert the given mixed fraction into improper fraction.

We get 5 (2/3) = (17/3)

To find the difference we have to make it equivalent fractions.

Taking LCM of 1 and 3 is 3.

Now converting the given fractions into equivalent fractions with denominator 3.

Equivalent fractions are (27/3) and (17/3)

9 – 5 (2/3) = (27/3) – (17/3)

= (10/3)

(ii) Given 4 (3/10) – 1 (2/15)

First convert the given mixed fraction into improper fraction.

We get (43/10) and (17/15)

To find the difference we have to make it equivalent fractions.

Taking LCM of 10 and 15 is 30.

Now converting the given fractions into equivalent fractions with denominator 30.

Equivalent fractions are (129/30) and (34/30)

4 (3/10) – 1 (2/15)

= (43/10) – (17/15)

= (129/30) – (34/30)

= (129 – 34)/30

= (95/30)

= (19/6)

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