Perform The Indicated Operation 20 3/4-18 2/3+3 5/11=

Perform the indicated operation 20 3/4-18 2/3+3 5/11=

 

Answer:

20 \frac{3}{4} - 18 \frac{2}{3} + 3 \frac{5}{11} \\ change \: them \: to \: improper \: fraction \\ 20 \frac{3}{4} = \frac{83}{4} \\ 18 \frac{2}{3} = \frac{56}{3} \\ 3 \frac{5}{{11} } = \frac{38}{11} \\ \frac{83}{4} - \frac{56}{3} + \frac{38}{11} \\ find \: the \: lcd \\ lcd \: here \: is \: 132 \\ \frac{83}{4} = 132 \div 4 \times 83 = \frac{2739}{132} \\ \frac{56}{3} = 132 \div 3 \times 56 = \frac{2464}{132} \\ \frac{38}{11} = 132 \div 11 \times 38 = \frac{456}{132} \\ now \: ad d\: them \: all

\frac{2739 - 2464 + 456}{132} \\ = \frac{731}{132}


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