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What is the sum of 3/12 and 2/4 ?​

Sagot :

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

SalmonWorldTopper

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]

  • Now, find the LCM of 12, and 4 in denominator.

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]

  • The LCM of 12 & 4 is 12.

[tex] \sf \leadsto{ \: \frac{3 + 6}{12} } \\ [/tex]

  • Add 3 and 6 to get 9.

[tex] \sf \leadsto{ \: \frac{9}{12} } \\ [/tex]

  • Now, divide both numerator and denominator to get 3/4.

[tex] \boxed{ \bf \leadsto{ \: \ \frac{3 }{4} }} \\ [/tex]

Therefore, the sum of 3/12 and 2/4 is 3/4.

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