Evaluate:
59+−76\dfrac{5}{9} + \dfrac{-7}{6}95+6−7
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LCM of 9 and 6 is 2 x 3 x 3 = 18 5×29×2+−7×36×3=1018+−2118=10+(−21)18=−1118\dfrac{5 \times 2}{9 \times 2} + \dfrac{-7 \times 3}{6 \times 3} \\[1em] =\dfrac{10}{18} + \dfrac{-21}{18} \\[1em] =\dfrac{10 + (-21)}{18} \\[1em] =\dfrac{-11}{18}9×25×2+6×3−7×3=1810+18−21=1810+(−21)=18−11
∴ 59+−76\dfrac{5}{9} + \dfrac{-7}{6}95+6−7 = −1118\dfrac{-11}{18}18−11
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Add each pair of rational numbers, given below, and show that their addition (sum) is also a rational number:
9−4\dfrac{9}{-4}−49 and −38\dfrac{-3}{8}8−3
7−18\dfrac{7}{-18}−187 and 827\dfrac{8}{27}278
4+3−54 + \dfrac{3}{-5}4+−53
1−15+5−12\dfrac{1}{-15} + \dfrac{5}{-12}−151+−125
