Given -
(i) 13/24 + 7/12
(ii) 7/6 + (-5/12)
(iii) -3/4 + (-2/3)
(iv) 5 - 7/10
(v) 1/8 - 5/3
(vi) 3/2 - 4/5
To Find -
Lowest common Denominator =?
Step-by-Step Explanation -
(i) 13/24 + 7/12
[tex]\frac{13\text{ + 2}\times7}{24}\text{ = }\frac{27}{24}[/tex](ii) 7/6 + (-5/12)
[tex]\frac{2\times7\text{ - 5}}{12}\text{ = }\frac{9}{12}[/tex](iii) -3/4 + (-2/3)
[tex]\frac{-3\times3\text{ -2}\times4}{12}\text{ = }\frac{-9-8}{12}\text{ = }\frac{-17}{12}[/tex](iv) 5 - 7/10
[tex]\frac{5\times10\text{ -7}}{10}\text{ = }\frac{43}{10}[/tex](v) 1/8 - 5/3
[tex]\frac{1\times3\text{ -5}\times8}{24}\text{ = }\frac{3\text{ - 40}}{24}\text{ = }\frac{-37}{24}[/tex](vi) 3/2 - 4/5
[tex]\frac{3\times5\text{ - 2}\times4}{10}\text{ = }\frac{15\text{ - 8}}{10}\text{ = }\frac{7}{10}[/tex]Final Answer -
Lowest common Denominator =
(i) 24
(ii) 12
(iii) 12
(iv) 10
(v) 24
(vi) 10