Respuesta :

Chegsnut36

Answer:

Proper: 15/4

Improper: 3 3/4

Step-by-step explanation:

Well to solve the following question,

5/12 + (5/12 + 3/4)

We solve the part in the parenthesis first,

5/12 + 3/4 = 14/4

Simplified -> 7/2

5/12 + 7/2

= 45/12

Simplified -> 15/4

Thus,

the answer is 15/4 or 3 3/4.

Hope this helps :)

Answer:

19/12= [tex]1 \frac{7}{12}[/tex]

Step-by-step explanation:

[tex]\frac{5}{12}+\left(\frac{5}{12}+\frac{3}{4}\right)\\\\=\frac{5}{12}+\frac{5}{12}+\frac{3}{4}\\\\\mathrm{Add\:similar\:elements:}\:\frac{5}{12}+\frac{5}{12}=2\times \frac{5}{12}\\=2\times \frac{5}{12}+\frac{3}{4}\\\\=\frac{5\times \:2}{12}\\\\=\frac{10}{12}\\\\=\frac{10}{12}\\\\=\frac{5}{6}+\frac{3}{4}\\L.C.M =12\\\mathrm{Adjust\:Fractions\:based\:on\:the\:LCM}\\\\\frac{5}{6}=\frac{5\cdot \:2}{6\times \:2}=\frac{10}{12}\\\\\frac{3}{4}=\frac{3\times \:3}{4\times \:3}=\frac{9}{12}\\[/tex]

[tex]\\=\frac{10}{12}+\frac{9}{12}\\\mathrm{Since\:the\:denominators\:are\:equal\\\:combine\:the\:fractions}:\\\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}\\\\=\frac{10+9}{12}\\\\=\frac{19}{12}[/tex]

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