**Fractions**

**Exercise 7.3**

1). Write the fractions. Are all these fractions equivalent?

Answer:

b).

Answer:

2). Write the fractions and pair up the equivalent fractions from each row.

Answer:

1). a) ↔ (ii)

2). b) ↔ (iv)

3). c) ↔ (i)

4). d) ↔ (v)

5). e) ↔ (i)

3). Replace □ in each of the following by the correct number :

a).^{2}/_{7} = ^{8}/□ b). ^{5}/_{8} = ^{10}/ □

c). ^{3}/_{5} = □/_{10} d). ^{45}/_{60} = ^{15}/□

e). ^{18}/_{24} = □ / _{4}

Answer:

a).^{2}/_{7} = ^{8}/□ b). ^{5}/_{8} = ^{10}/ □

c). ^{3}/_{5} = □/_{10} d). ^{45}/_{60} = ^{15}/□

e). ^{18}/_{24} = □ / _{4}

4). Find the equivalent fraction of ^{3}/_{5} having

(a) denominator 20 (b) numerator 9

(c) denominator 30 (d) numerator 27

Answer:

(a) denominator 20 (b) numerator 9

(c) denominator 30 (d) numerator 27

5). Find the equivalent fraction of ^{36}/_{48} with

(a) numerator 9 (b) denominator 4

Answer:

6). Check whether the given fractions are equivalent :

a).^{5}/_{9}, ^{30}/_{54} b). ^{3}/_{10}, ^{12}/_{50}

c). ^{7}/_{13}, ^{5}/_{11}

Solution:

a).^{5}/_{9}, ^{30}/_{54}

given fractions are equivalent

b). ^{3}/_{10}, ^{12}/_{50}

given fractions are not equivalent

c). ^{7}/_{13}, ^{5}/_{11}

We cannot simplify the fractions

given fractions are not equivalent

7). Reduce the following fractions to the simplest form :

a). ^{48}/_{60} b). ^{150}/_{60}

c). ^{84}/_{98} d). ^{12}/_{52}

e). ^{7}/_{28}

Answer:

8). Ramesh had 20 pencils, Sheelu had 50 pencils and Jamaal had 80 pencils. After 4 months, Ramesh used up 10 pencils, Sheelu used up 25 pencils and Jamaal used up 40 pencils. What fraction did each use up? Check if each has used up an equal fraction of her/his pencils?

Pencils with Ramesh = 40

Pencils used by Ramesh = 10

Fraction for Ramesh = 10/40 = ¼

Pencils with Sheelu = 50

Pencils used by Sheelu = 25

Fraction for Sheelu = 25/50 = ½

Pencils with Ramesh = 80

Pencils used by Ramesh = 40

Fraction for Ramesh = 40/80 = ½

9). Match the equivalent fractions and write two more for each.

(i) ^{250}/_{400} a).^{2}/_{3}

(ii). ^{180}/_{200} b). ^{2}/_{5}

(iii). ^{660}/_{990} c). ^{1}/_{2}

(iv). ^{180}/_{360} d). ^{5}/_{8}

(v). ^{220}/_{550} e). ^{9}/_{10}

** **

Answer:

(i) ^{250}/_{400} ↔ ^{5}/_{8}

(ii). ^{180}/_{200} ↔ ^{9}/_{10}

(iii). ^{660}/_{990 }↔ ^{2}/_{3}

(iv). ^{180}/_{360 }↔ ^{1}/_{2}

(v). ^{220}/_{550 }↔ ^{2}/_{5}

Equivalent fractions:

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