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Conversion of decimal to fractionFor conversion of decimal to fraction, follow the following steps.Step 1: Put 1 in the denominator $\frac{2.6}{1}$ Step 2: Shift the decimal to right place $\frac{2.6}{1}=\frac{2.6}{10}$ (1 shift) Step 3: Count the shifts and put that much zeros with 1, $\frac{26}{10}$ Step 4: Convert the fraction in lowest (reduced form )if possible. $\frac{26\div 2}{10\div 2}=\frac{13}{5}$ Example 1: Express 1.28 in fraction 1.28 = $\frac{1.28}{100}$ (shifting of decimals by 2 places) = $\frac{128\div 2}{100\div 2} = \frac{64}{50}$ = $\frac{64\div 2}{50\div 2}$ = $\frac{32}{25}$ Example 2: Express 0.777 in fraction 0.777 = $\frac{0.777}{1000}$ (shifting of decimals by 3 places) = $\frac{777}{1000} $ Some more examples 1) Convert 34.178 into a fraction. Solution : Decimal fraction = 34.178 Decimal places = 3 Thus, Numerator = 34178 x 1000 Denominator = 1000 Fraction = 34178 /1000 = 34178/1000 ÷ 2/2 = 17089/500 2) Convert 0.76 into a fraction. Solution : 76/100 = 76/100 ÷ 2/2 = 38/50 3) Convert 1.8 into a fraction. Solution : 18/10 = 18/10 ÷ 2/2 = 9/5 4) Convert 0.25 into a fraction. Solution : 25/100 = 25/100 ÷ 5/5 = 5/20 ÷ 5/5 = 1/4 5) Convert 1225.8 into a fraction. Solution : 12258/10 = 12258/10 ÷ 2/2 = 6129/5 6) Convert 0.80 into a fraction. Solution : 80/100 = 80/100 ÷ 10/10 = 8/10 ÷ 2/2 = 4/5 7) Convert 0.66 into a fraction. Solution : 66/100 = 66/100 ÷ 2/2 = 33/50 8) Convert 0.025 into a fraction. Solution : 25/1000 = 25/1000 ÷ 5/5 = 5/200 ÷ 5/5 = 1/40 9) Convert 4.25 into a fraction. Solution : 425/100 = 425/100 ÷ 5/5 = 85/20 ÷ 5/5 = 17/4 10) Convert 15.05 into a fraction. Solution : 1505/100 = 1505/100 ÷ 5/5 = 301/20 11) Convert 0.008 into a fraction. Solution : 8/1000 = 8/1000 ÷ 8/8 = 1/250 ________________________________________________________________________ Practice 1) Convert the following decimal to fraction. a) 0.35 b) 1.75 c) 125.80 d) 0.0105 e) 0.12 Decimals • Expansion of decimals • Comparison of decimals • Addition of Decimals • Subtraction of Decimals • Multiplication of Decimals • Division of Decimals • Conversion of decimal to fraction Number System Home Page
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