Add: −56-\dfrac{5}{6}−65 and 38\dfrac{3}{8}83
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LCM of 6 and 8 is 2 x 2 x 2 x 3 = 24
−5×46×4+3×38×3=−2024+924=−20+924=−1124-\dfrac{5 \times 4}{6 \times 4} + \dfrac{3 \times 3}{8 \times 3} \\[1em] =-\dfrac{20}{24} + \dfrac{9}{24} \\[1em] =\dfrac{-20 + 9}{24} \\[1em] =\dfrac{-11}{24}−6×45×4+8×33×3=−2420+249=24−20+9=24−11
∴ −56+38=−1124-\dfrac{5}{6} + \dfrac{3}{8} = -\dfrac{11}{24}−65+83=−2411
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If m=−79m = -\dfrac{7}{9}m=−97 and n=56n = \dfrac{5}{6}n=65, verify that:
-(m + n) = (-m) + (-n)
Represent rational numbers −73-\dfrac{7}{3}−37 and 74\dfrac{7}{4}47 on the same number line.
Subtract: 38\dfrac{3}{8}83 from −56-\dfrac{5}{6}−65
Multiply: −56-\dfrac{5}{6}−65 and 38\dfrac{3}{8}83
