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Mathematics

Convert each of the following fractions into a decimal :

(i) 18\dfrac{1}{8}

(ii) 332\dfrac{3}{32}

(iii) 449\dfrac{44}{9}

(iv) 1124\dfrac{11}{24}

(v) 1213\dfrac{12}{13}

(vi) 2744\dfrac{27}{44}

(vii) 25122\dfrac{5}{12}

(viii) 131551\dfrac{31}{55}

Rational Irrational Nos

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Answer

(i) 18\dfrac{1}{8}

On dividing,

18=0.125\dfrac{1}{8} = 0.125

Hence, 18=0.125\dfrac{1}{8} = 0.125.

(ii) 332\dfrac{3}{32}

On dividing,

332=0.09375\dfrac{3}{32} = 0.09375

Hence, 332=0.09375\dfrac{3}{32} = 0.09375.

(iii) 449\dfrac{44}{9}

On dividing,

449=4.8\dfrac{44}{9} = 4.\overline{8}

Hence, 449=4.8\dfrac{44}{9} = 4.\overline{8}.

(iv) 1124\dfrac{11}{24}

On dividing,

1124=0.4583\dfrac{11}{24} = 0.458\overline{3}

Hence, 1124=0.4583\dfrac{11}{24} = 0.458\overline{3}.

(v) 1213\dfrac{12}{13}

On dividing,

1213=0.923076\dfrac{12}{13} = 0.\overline{923076}

Hence, 1213=0.923076\dfrac{12}{13} = 0.\overline{923076}.

(vi) 2744\dfrac{27}{44}

On dividing,

2744=0.6136\dfrac{27}{44} = 0.61\overline{36}

Hence, 2744=0.6136\dfrac{27}{44} = 0.61\overline{36}.

(vii) 25122\dfrac{5}{12}

On dividing,

2512=2912=2.4162\dfrac{5}{12} = \dfrac{29}{12} = 2.41\overline{6}

Hence, 2912=2.416\dfrac{29}{12} = 2.41\overline{6}.

(viii) 131551\dfrac{31}{55}

On dividing,

13155=8655=1.5631\dfrac{31}{55} = \dfrac{86}{55} = 1.5\overline{63}

Hence, 13155=1.563.1\dfrac{31}{55} = 1.5\overline{63}..

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