QuestionCalculate $\frac{2}{6}+\frac{1}{3}$ .

Studdy Solution

STEP 1

Assumptions1. The problem requires us to add two fractions $\frac{}{6}$ and $\frac{1}{3}$ . . The fractions are in their simplest form.

STEP 2

First, we need to find a common denominator for the two fractions. The common denominator is the least common multiple (LCM) of the denominators of the two fractions.
The denominators of the fractions are6 and. The LCM of6 and is6.

STEP 3

Now, we convert each fraction to an equivalent fraction with the common denominator. The first fraction is already with the denominator6, so we leave it as it is. The second fraction $\frac{1}{3}$ can be converted to an equivalent fraction with the denominator6 by multiplying both the numerator and the denominator by2.
$\frac{1}{3} = \frac{1 \times2}{3 \times2} = \frac{2}{6}$

STEP 4

Now, we add the two fractions.
$\frac{2}{6} + \frac{2}{6}$

STEP 5

The sum of the two fractions is obtained by adding the numerators and keeping the common denominator.
$\frac{2 +2}{} = \frac{4}{}$

STEP 6

Finally, we simplify the fraction to its lowest terms by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of4 and6 is2.
$\frac{4}{6} = \frac{4 \div2}{6 \div2} = \frac{2}{3}$ So, $\frac{2}{6} + \frac{1}{3} = \frac{2}{3}$ .

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QuestionCalculate $\frac{2}{6}+\frac{1}{3}$ .

Studdy Solution

STEP 1

Assumptions1. The problem requires us to add two fractions $\frac{}{6}$ and $\frac{1}{3}$ . . The fractions are in their simplest form.

STEP 2

First, we need to find a common denominator for the two fractions. The common denominator is the least common multiple (LCM) of the denominators of the two fractions.
The denominators of the fractions are6 and. The LCM of6 and is6.

STEP 3

STEP 4

Now, we add the two fractions.
$\frac{2}{6} + \frac{2}{6}$

STEP 5

The sum of the two fractions is obtained by adding the numerators and keeping the common denominator.
$\frac{2 +2}{} = \frac{4}{}$

STEP 6

Finally, we simplify the fraction to its lowest terms by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of4 and6 is2.
$\frac{4}{6} = \frac{4 \div2}{6 \div2} = \frac{2}{3}$ So, $\frac{2}{6} + \frac{1}{3} = \frac{2}{3}$ .

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QuestionCalculate 26+13\frac{2}{6}+\frac{1}{3}62​+31​.

Studdy Solution

STEP 1

Assumptions1. The problem requires us to add two fractions 6\frac{}{6}6​ and 13\frac{1}{3}31​. . The fractions are in their simplest form.

STEP 2

First, we need to find a common denominator for the two fractions. The common denominator is the least common multiple (LCM) of the denominators of the two fractions.The denominators of the fractions are6 and. The LCM of6 and is6.

STEP 3

STEP 4

Now, we add the two fractions.26+26\frac{2}{6} + \frac{2}{6}62​+62​

STEP 5

The sum of the two fractions is obtained by adding the numerators and keeping the common denominator.2+2=4\frac{2 +2}{} = \frac{4}{}2+2​=4​

STEP 6

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QuestionCalculate $\frac{2}{6}+\frac{1}{3}$ .

Assumptions1. The problem requires us to add two fractions $\frac{}{6}$ and $\frac{1}{3}$ . . The fractions are in their simplest form.

First, we need to find a common denominator for the two fractions. The common denominator is the least common multiple (LCM) of the denominators of the two fractions.
The denominators of the fractions are6 and. The LCM of6 and is6.

Now, we add the two fractions.
$\frac{2}{6} + \frac{2}{6}$

The sum of the two fractions is obtained by adding the numerators and keeping the common denominator.
$\frac{2 +2}{} = \frac{4}{}$