Find: |
(a) \[\frac{7}{48}-\frac{17}{36}\] |
(b) \[\frac{5}{63}-\left( \frac{-6}{21} \right)\] |
(c) \[\frac{-6}{13}-\left( \frac{-7}{15} \right)\] |
(d) \[\frac{-3}{8}-\frac{7}{11}\] |
Answer:
(a)\[\frac{7}{48}-\frac{17}{36}=\frac{7(3)-17(4)}{144}\] =\[\frac{21-68}{144}\] \[=\frac{-47}{144}\] (b) \[\frac{5}{36}-\left( \frac{-6}{21} \right)=\frac{5}{63}+\frac{6}{21}\] \[=\frac{5+6\left( 3 \right)}{63}\] \[=\frac{5+18}{63}=\frac{23}{63}\] (c) \[\frac{-6}{13}-\left( \frac{-7}{15} \right)=\frac{-6}{13}-\frac{7}{15}\] \[=\frac{-6(15)+7(13)}{195}\] \[=\frac{-90+91}{195}=\frac{1}{195}\] (d) \[\frac{-3}{8}-\frac{7}{11}~\frac{-3\left( 11 \right)-7\left( 8 \right)}{88}\] \[=\frac{-33-56}{88}=\frac{-89}{88}.\] \[=-1\frac{1}{88}.\]
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