QuestionAdd the fractions: $\frac{5}{12}+\frac{1}{3}=$ (Type a whole number or a simplified fraction.)

Studdy Solution

STEP 1

Assumptions1. We are adding two fractions $\frac{5}{12}$ and $\frac{1}{3}$ . . We need to find a common denominator to add these fractions.

STEP 2

To add fractions, we need a common denominator. The common denominator is the least common multiple (LCM) of the two denominators.

STEP 3

The denominators of our fractions are12 and3. The least common multiple of12 and3 is12. So,12 is our common denominator.

STEP 4

Now, we need to express each fraction with the common denominator. The first fraction is already expressed as $\frac{}{12}$ .

STEP 5

For the second fraction, we need to express $\frac{1}{3}$ with the denominator12. We can do this by multiplying both the numerator and the denominator by4.
$\frac{1}{3} = \frac{1 \times4}{3 \times4} = \frac{4}{12}$

STEP 6

Now, we can add the two fractions since they have the same denominator.
$\frac{5}{12} + \frac{4}{12}$

STEP 7

Add the numerators of the two fractions.
$\frac{5 +4}{12} = \frac{9}{12}$

STEP 8

The fraction $\frac{}{12}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is3.
$\frac{}{12} = \frac{ \div3}{12 \div3} = \frac{3}{4}$ So, $\frac{5}{12} + \frac{1}{3} = \frac{3}{4}$ .

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QuestionAdd the fractions: $\frac{5}{12}+\frac{1}{3}=$ (Type a whole number or a simplified fraction.)

Studdy Solution

STEP 1

Assumptions1. We are adding two fractions $\frac{5}{12}$ and $\frac{1}{3}$ . . We need to find a common denominator to add these fractions.

STEP 2

To add fractions, we need a common denominator. The common denominator is the least common multiple (LCM) of the two denominators.

STEP 3

The denominators of our fractions are12 and3. The least common multiple of12 and3 is12. So,12 is our common denominator.

STEP 4

Now, we need to express each fraction with the common denominator. The first fraction is already expressed as $\frac{}{12}$ .

STEP 5

For the second fraction, we need to express $\frac{1}{3}$ with the denominator12. We can do this by multiplying both the numerator and the denominator by4.
$\frac{1}{3} = \frac{1 \times4}{3 \times4} = \frac{4}{12}$

STEP 6

Now, we can add the two fractions since they have the same denominator.
$\frac{5}{12} + \frac{4}{12}$

STEP 7

Add the numerators of the two fractions.
$\frac{5 +4}{12} = \frac{9}{12}$

STEP 8

The fraction $\frac{}{12}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is3.
$\frac{}{12} = \frac{ \div3}{12 \div3} = \frac{3}{4}$ So, $\frac{5}{12} + \frac{1}{3} = \frac{3}{4}$ .

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QuestionAdd the fractions: 512+13=\frac{5}{12}+\frac{1}{3}=125​+31​= (Type a whole number or a simplified fraction.)

Studdy Solution

STEP 1

Assumptions1. We are adding two fractions 512\frac{5}{12}125​ and 13\frac{1}{3}31​. . We need to find a common denominator to add these fractions.

STEP 2

To add fractions, we need a common denominator. The common denominator is the least common multiple (LCM) of the two denominators.

STEP 3

The denominators of our fractions are12 and3. The least common multiple of12 and3 is12. So,12 is our common denominator.

STEP 4

Now, we need to express each fraction with the common denominator. The first fraction is already expressed as 12\frac{}{12}12​.

STEP 5

For the second fraction, we need to express 13\frac{1}{3}31​ with the denominator12. We can do this by multiplying both the numerator and the denominator by4.13=1×43×4=412\frac{1}{3} = \frac{1 \times4}{3 \times4} = \frac{4}{12}31​=3×41×4​=124​

STEP 6

Now, we can add the two fractions since they have the same denominator.512+412\frac{5}{12} + \frac{4}{12}125​+124​

STEP 7

Add the numerators of the two fractions.5+412=912\frac{5 +4}{12} = \frac{9}{12}125+4​=129​

STEP 8

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QuestionAdd the fractions: $\frac{5}{12}+\frac{1}{3}=$ (Type a whole number or a simplified fraction.)

Assumptions1. We are adding two fractions $\frac{5}{12}$ and $\frac{1}{3}$ . . We need to find a common denominator to add these fractions.

Now, we need to express each fraction with the common denominator. The first fraction is already expressed as $\frac{}{12}$ .

For the second fraction, we need to express $\frac{1}{3}$ with the denominator12. We can do this by multiplying both the numerator and the denominator by4.
$\frac{1}{3} = \frac{1 \times4}{3 \times4} = \frac{4}{12}$

Now, we can add the two fractions since they have the same denominator.
$\frac{5}{12} + \frac{4}{12}$

Add the numerators of the two fractions.
$\frac{5 +4}{12} = \frac{9}{12}$