Answer:
9 / 12
Step-by-step explanation:
2 / 4
= ( 2 / 4 ) x ( 3 / 3 )
= ( 2 x 3 ) / ( 4 x 3 )
= 6 / 12
3 / 12 + 2 / 4
= 3 / 12 + 6 / 12
= ( 3 + 6 ) / 12
= 9 / 12
Step-by-step explanation:
[tex] \bf \underline{Given-} \\ [/tex]
[tex] \leadsto \: \sf{ \frac{3}{12} \: and \: \frac{2}{4} } \\ [/tex]
[tex] \bf \underline{To \: find-} \\ [/tex]
[tex]\textsf{between there sum = ?}\\[/tex]
[tex] \bf \underline{Solution-} \\ [/tex]
[tex] \leadsto \: \sf{ \frac{3}{12} \: and \: \frac{2}{4} } \\ [/tex]
[tex] \leadsto \: \sf{ \frac{3}{12} \: + \: \frac{2}{4} } \\ [/tex]
Process how to find LCM of 4 and 12↓
[tex] \sf{\mathsf{\begin{array}{r | l} \underline2& \underline4 \: \underline {12 } \\\underline 2&\underline2 \:\underline 6 \\\underline3&\underline1 \: \underline3 \\ &\underline1 \: \underline1 \\ \end{array}} }\\ [/tex]
[tex] \sf{ LCM} = 2 \times 2 \times 3 \\ = 4 \times 3 \\ = 12 \\ [/tex]
[tex] \sf \leadsto{ \: \frac{3 + 6}{12} } \\ [/tex]
[tex] \sf \leadsto{ \: \frac{9}{12} } \\ [/tex]
[tex] \boxed{ \bf \leadsto{ \: \ \frac{3 }{4} }} \\ [/tex]
Therefore, the sum of 3/12 and 2/4 is 3/4.
