QuestionWhat is $\frac{3}{8}+\frac{1}{3}$ ?

Studdy Solution

STEP 1

Assumptions1. We are adding two fractions $\frac{3}{8}$ and $\frac{1}{3}$

STEP 2

In order to add fractions, we need to have a common denominator. To find this, we can take the least common multiple (LCM) of the two denominators.

STEP 3

Find the LCM of8 and3. The LCM of two numbers is the smallest number that is a multiple of both numbers. In this case, the LCM of8 and3 is24.

STEP 4

Now we rewrite the fractions with the common denominator. We multiply the numerator and the denominator of each fraction by the value that will make the denominator equal to the LCM.
$\frac{3}{8} = \frac{3 \times3}{8 \times3} = \frac{9}{24}$ $\frac{1}{3} = \frac{1 \times8}{3 \times8} = \frac{8}{24}$

STEP 5

Now that we have the same denominator for both fractions, we can add the numerators.
$\frac{9}{24} + \frac{8}{24} = \frac{9+8}{24}$

STEP 6

Calculate the sum of the numerators.
$\frac{9+8}{24} = \frac{17}{24}$ So, $\frac{3}{8}+\frac{1}{3} = \frac{17}{24}$ .

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QuestionWhat is $\frac{3}{8}+\frac{1}{3}$ ?

Studdy Solution

STEP 1

Assumptions1. We are adding two fractions $\frac{3}{8}$ and $\frac{1}{3}$

STEP 2

In order to add fractions, we need to have a common denominator. To find this, we can take the least common multiple (LCM) of the two denominators.

STEP 3

Find the LCM of8 and3. The LCM of two numbers is the smallest number that is a multiple of both numbers. In this case, the LCM of8 and3 is24.

STEP 4

Now we rewrite the fractions with the common denominator. We multiply the numerator and the denominator of each fraction by the value that will make the denominator equal to the LCM.
$\frac{3}{8} = \frac{3 \times3}{8 \times3} = \frac{9}{24}$ $\frac{1}{3} = \frac{1 \times8}{3 \times8} = \frac{8}{24}$

STEP 5

Now that we have the same denominator for both fractions, we can add the numerators.
$\frac{9}{24} + \frac{8}{24} = \frac{9+8}{24}$

STEP 6

Calculate the sum of the numerators.
$\frac{9+8}{24} = \frac{17}{24}$ So, $\frac{3}{8}+\frac{1}{3} = \frac{17}{24}$ .

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QuestionWhat is 38+13\frac{3}{8}+\frac{1}{3}83​+31​?

Studdy Solution

STEP 1

Assumptions1. We are adding two fractions 38\frac{3}{8}83​ and 13\frac{1}{3}31​

STEP 2

In order to add fractions, we need to have a common denominator. To find this, we can take the least common multiple (LCM) of the two denominators.

STEP 3

Find the LCM of8 and3. The LCM of two numbers is the smallest number that is a multiple of both numbers. In this case, the LCM of8 and3 is24.

STEP 4

STEP 5

Now that we have the same denominator for both fractions, we can add the numerators.924+824=9+824\frac{9}{24} + \frac{8}{24} = \frac{9+8}{24}249​+248​=249+8​

STEP 6

Calculate the sum of the numerators.9+824=1724\frac{9+8}{24} = \frac{17}{24}249+8​=2417​So, 38+13=1724\frac{3}{8}+\frac{1}{3} = \frac{17}{24}83​+31​=2417​.

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QuestionWhat is $\frac{3}{8}+\frac{1}{3}$ ?

Assumptions1. We are adding two fractions $\frac{3}{8}$ and $\frac{1}{3}$

Now that we have the same denominator for both fractions, we can add the numerators.
$\frac{9}{24} + \frac{8}{24} = \frac{9+8}{24}$

Calculate the sum of the numerators.
$\frac{9+8}{24} = \frac{17}{24}$ So, $\frac{3}{8}+\frac{1}{3} = \frac{17}{24}$ .