

InterviewSolution
1. |
Subtract: (i) \(\frac{-18}{11}\) from 1(ii) \(\frac{-13}{9}\) from 0(iii) \(\frac{-32}{13}\) from \(\frac{-6}{5}\) (iv) \(-7\) from \(\frac{-4}{7}\) |
Answer» (i) We can write, 1 = \(\frac{1}{1}\) Since the denominators of both the numbers are different therefore, we will take their LCM 0f 1 and 11 = 11 \(\frac{1}{1} = \frac{1\times11}{1\times11}= \frac{11}{11}\) And, \(\frac{18}{11} = \frac{-18\times1}{11\times1}= \frac{-18}{11}\) Therefore, \(1-(\frac{-18}{11})\) = \(\frac{11}{11}-(\frac{-18}{11})\) = \(\frac{11-(-18)}{11}\) = \(\frac{11+18}{11}\) = \(\frac{29}{11}\) (ii) \(0-(\frac{-13}{9})\) = \(0+\frac{13}{9}\) = \(\frac{13}{9}\) (iii) Since the denominators of both the numbers are different therefore, we will take their LCM 0f 13 and 5 = 65 \(\frac{-6}{5}= \frac{-6\times13}{5\times13}\frac{-78}{65}\) Therefore, \(\frac{-6}{5}-(\frac{-32}{13})\) = \(\frac{-78}{65}-(\frac{-160}{65})\) = \(\frac{-78-(-160)}{65}\) = \(\frac{-78+160}{65}\) = \(\frac{82}{65}\) (iv) We can write, \(-7= \frac{-7}{1}\) Since the denominators of both the numbers are different therefore, we will take their LCM 0f 1 and 7 = 7 \(\frac{-7}{1}= \frac{-7\times7}{1\times7}= \frac{-49}{7}\) And, \(\frac{-4}{7}= \frac{-4\times1}{7\times1}= \frac{-4}{7}\) Therefore, = \(\frac{-4}{7}-(-7)\) = \(\frac{-4}{7}-(\frac{-49}{7})\) = \(\frac{-4-(-49)}{7}\) = \(\frac{-4+49}{7}\) = \(\frac{45}{7}\) |
|