Math / Numbers & Operations

QuestionMy IXL L. 6 Add and subtract fractions with unlike denominators
Add. $\frac{2}{7}+\frac{1}{2}=$ $\square$ Submit Im

Studdy Solution

STEP 1

1. We are given two fractions: $\frac{2}{7}$ and $\frac{1}{2}$ .
2. The task is to add these fractions.
3. The fractions have unlike denominators.

STEP 2

1. Find a common denominator.
2. Convert each fraction to an equivalent fraction with the common denominator.
3. Add the fractions.
4. Simplify the result, if necessary.

STEP 3

Identify the denominators of the fractions: $7$ and $2$ .

STEP 4

Find the least common denominator (LCD) of $7$ and $2$ . The LCD is $14$ .

STEP 5

Convert $\frac{2}{7}$ to an equivalent fraction with a denominator of $14$ .
$\frac{2}{7} = \frac{2 \times 2}{7 \times 2} = \frac{4}{14}$

STEP 6

Convert $\frac{1}{2}$ to an equivalent fraction with a denominator of $14$ .
$\frac{1}{2} = \frac{1 \times 7}{2 \times 7} = \frac{7}{14}$

STEP 7

Add the fractions $\frac{4}{14}$ and $\frac{7}{14}$ .
$\frac{4}{14} + \frac{7}{14} = \frac{4 + 7}{14} = \frac{11}{14}$

STEP 8

Check if the fraction $\frac{11}{14}$ can be simplified. Since $11$ and $14$ have no common factors other than $1$ , the fraction is already in its simplest form.
The sum of the fractions is:
$\boxed{\frac{11}{14}}$

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QuestionMy IXL L. 6 Add and subtract fractions with unlike denominators
Add. $\frac{2}{7}+\frac{1}{2}=$ $\square$ Submit Im

Studdy Solution

STEP 1

1. We are given two fractions: $\frac{2}{7}$ and $\frac{1}{2}$ .
2. The task is to add these fractions.
3. The fractions have unlike denominators.

STEP 2

1. Find a common denominator.
2. Convert each fraction to an equivalent fraction with the common denominator.
3. Add the fractions.
4. Simplify the result, if necessary.

STEP 3

Identify the denominators of the fractions: $7$ and $2$ .

STEP 4

Find the least common denominator (LCD) of $7$ and $2$ . The LCD is $14$ .

STEP 5

Convert $\frac{2}{7}$ to an equivalent fraction with a denominator of $14$ .
$\frac{2}{7} = \frac{2 \times 2}{7 \times 2} = \frac{4}{14}$

STEP 6

Convert $\frac{1}{2}$ to an equivalent fraction with a denominator of $14$ .
$\frac{1}{2} = \frac{1 \times 7}{2 \times 7} = \frac{7}{14}$

STEP 7

Add the fractions $\frac{4}{14}$ and $\frac{7}{14}$ .
$\frac{4}{14} + \frac{7}{14} = \frac{4 + 7}{14} = \frac{11}{14}$

STEP 8

Check if the fraction $\frac{11}{14}$ can be simplified. Since $11$ and $14$ have no common factors other than $1$ , the fraction is already in its simplest form.
The sum of the fractions is:
$\boxed{\frac{11}{14}}$

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QuestionMy IXL L. 6 Add and subtract fractions with unlike denominatorsAdd. 27+12=\frac{2}{7}+\frac{1}{2}=72​+21​= □\square□ Submit Im

Studdy Solution

STEP 1

1. We are given two fractions: 27\frac{2}{7}72​ and 12\frac{1}{2}21​.2. The task is to add these fractions.3. The fractions have unlike denominators.

STEP 2

1. Find a common denominator.2. Convert each fraction to an equivalent fraction with the common denominator.3. Add the fractions.4. Simplify the result, if necessary.

STEP 3

Identify the denominators of the fractions: 777 and 222.

STEP 4

Find the least common denominator (LCD) of 777 and 222. The LCD is 141414.

STEP 5

Convert 27\frac{2}{7}72​ to an equivalent fraction with a denominator of 141414.27=2×27×2=414\frac{2}{7} = \frac{2 \times 2}{7 \times 2} = \frac{4}{14}72​=7×22×2​=144​

STEP 6

Convert 12\frac{1}{2}21​ to an equivalent fraction with a denominator of 141414.12=1×72×7=714\frac{1}{2} = \frac{1 \times 7}{2 \times 7} = \frac{7}{14}21​=2×71×7​=147​

STEP 7

Add the fractions 414\frac{4}{14}144​ and 714\frac{7}{14}147​.414+714=4+714=1114\frac{4}{14} + \frac{7}{14} = \frac{4 + 7}{14} = \frac{11}{14}144​+147​=144+7​=1411​

STEP 8

Check if the fraction 1114\frac{11}{14}1411​ can be simplified. Since 111111 and 141414 have no common factors other than 111, the fraction is already in its simplest form. The sum of the fractions is:1114\boxed{\frac{11}{14}}1411​​

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QuestionMy IXL L. 6 Add and subtract fractions with unlike denominators
Add. $\frac{2}{7}+\frac{1}{2}=$ $\square$ Submit Im

1. We are given two fractions: $\frac{2}{7}$ and $\frac{1}{2}$ .
2. The task is to add these fractions.
3. The fractions have unlike denominators.

1. Find a common denominator.
2. Convert each fraction to an equivalent fraction with the common denominator.
3. Add the fractions.
4. Simplify the result, if necessary.

Identify the denominators of the fractions: $7$ and $2$ .

Find the least common denominator (LCD) of $7$ and $2$ . The LCD is $14$ .

Convert $\frac{2}{7}$ to an equivalent fraction with a denominator of $14$ .
$\frac{2}{7} = \frac{2 \times 2}{7 \times 2} = \frac{4}{14}$

Convert $\frac{1}{2}$ to an equivalent fraction with a denominator of $14$ .
$\frac{1}{2} = \frac{1 \times 7}{2 \times 7} = \frac{7}{14}$

Add the fractions $\frac{4}{14}$ and $\frac{7}{14}$ .
$\frac{4}{14} + \frac{7}{14} = \frac{4 + 7}{14} = \frac{11}{14}$

Check if the fraction $\frac{11}{14}$ can be simplified. Since $11$ and $14$ have no common factors other than $1$ , the fraction is already in its simplest form.
The sum of the fractions is:
$\boxed{\frac{11}{14}}$