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2. Add \a and 1/3. Use 12 as the common denominator​

Sagot :

Answer:

[tex]\frac{36 + a}{3a}[/tex]

Step-by-step explanation:

Since I have to assume a is part of the fraction. We will answer assuming /a is replaced with a/12 + 1/3

To write 12/a as a fraction we must multiply with a common denominator. Thus being 3/3.

[tex]\frac{12}{a}+ \frac{3}{3} +\frac{1}{3}[/tex]

Now to write 1/3 as a fraction with a common denom we must use a/a.

[tex]\frac{12}{a} *\frac{3}{3}+ \frac{1}{3} *\frac{a}{a}[/tex]

Then we want to write each expression with a common denominator of a * 3 and multiply by a factor of 1.

[tex]\frac{12 * 3}{a * 3} +\frac{1}{3}* \frac{a}{a}[/tex]

Then we want to multiply 1/3 and a/a.

[tex]\frac{12 * 3}{a * 3} +\frac{a}{3a}[/tex]

Then we reorder the factors of a *3.

[tex]\frac{12 * 3}{3a} +\frac{a}{3a}[/tex]

Next, we combine the numerators over the common denom.

[tex]\frac{12 * 3 + a}{3a}[/tex]

FInally, we multiply 12 by 3.

[tex]\frac{36 + a}{3a}[/tex]