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Mathematics

Convert the following decimal numbers into fractions (in lowest terms):

(i) 6.015

(ii) 0.876

(iii) 23.375

Decimals

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Answer

(i) Writing the decimal 6.015 as a fraction,

6.015=60151000=1203200=632006.015 = \dfrac{6015}{1000} = \dfrac{1203}{200} = 6\dfrac{3}{200}

Therefore, the required fraction is 632006\dfrac{3}{200}.

(ii) Writing the decimal 0.876 as a fraction,

0.876=8761000=2192500.876 = \dfrac{876}{1000} = \dfrac{219}{250}

Therefore, the required fraction is 219250\dfrac{219}{250}.

(iii) Writing the decimal 23.375 as a fraction,

23.375=233751000=1878=233823.375 = \dfrac{23375}{1000} = \dfrac{187}{8}= 23\dfrac{3}{8}

Therefore, the required fraction is 233823\dfrac{3}{8}.

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