# Like and Unlike Fractions

Like and unlike fractions are the two groups of fractions:

(i) 1/5, 3/5, 2/5, 4/5, 6/5

(ii) 3/4, 5/6, 1/3, 4/7, 9/9

In group (i) the denominator of each fraction is 5, i.e., the denominators of the fractions are equal.

The fractions with the same denominators are called like fractions.

In group (ii) the denominator of each fraction is different, i.e., the denominators of all the fractions are different.

The fractions with different denominators are called unlike fractions.

Examples of like fractions are:

(a) (2/9, 3/9, 5/9, 9/9);

(b) (3/10, 7/10, 1/10, 9/10);

(c) (1/7, 2/7, 4/7, 5/7, 7/7)

Examples unlike fractions are:

(a) (1/2, 1/4, 2/3, 5/6)

(b) (3/8, 2/3, 3/5, 2/7)

(c) (1/9, 2/7, 3/4, 2/5).

Like Fractions:

Observe the following figures.

The fraction $$\frac{1}{8}$$, $$\frac{2}{8}$$, $$\frac{3}{8}$$ have the same denominator. Such fractions are called like fractions.

Unlike Fractions:

In figure (i) one part is shaded out of 3 parts, the fraction represented is $$\frac{1}{3}$$.

In figure (ii) has two parts shaded out of 3 parts, the fraction represented is $$\frac{2}{5}$$.

In figure (iii) we have three parts shaded out of 7 parts, the fraction represented is $$\frac{3}{7}$$.

The fraction $$\frac{1}{3}$$, $$\frac{2}{5}$$, $$\frac{3}{7}$$ have different denominators. Such fractions are called unlike fractions.

Worksheet on Like and Unlike Fractions:

1. Which of the following is a set of like fractions?

 (i) $$\frac{1}{9}$$, $$\frac{5}{9}$$, $$\frac{4}{9}$$, $$\frac{11}{9}$$ (iii) $$\frac{4}{11}$$, $$\frac{5}{8}$$, $$\frac{7}{9}$$, $$\frac{1}{7}$$ (ii) $$\frac{1}{7}$$, $$\frac{2}{8}$$, $$\frac{4}{19}$$, $$\frac{7}{6}$$(iv) $$\frac{4}{11}$$, $$\frac{5}{8}$$, $$\frac{7}{9}$$, $$\frac{1}{7}$$

1. (i) First set is like fractions because denominators are the same.

2. Which of the following is a set of unlike fractions?

 (i) $$\frac{1}{13}$$, $$\frac{13}{15}$$, $$\frac{15}{17}$$, $$\frac{17}{19}$$(iii) $$\frac{4}{16}$$, $$\frac{1}{16}$$, $$\frac{2}{16}$$, $$\frac{9}{16}$$ (ii) $$\frac{4}{12}$$, $$\frac{5}{12}$$, $$\frac{8}{12}$$, $$\frac{9}{12}$$(iv) $$\frac{8}{9}$$, $$\frac{1}{7}$$, $$\frac{7}{8}$$, $$\frac{8}{11}$$

2. (i) First and fourth sets are unlike fractions because denominators are not the same

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