6.NR.1.1

To add or subtract fractions with unlike denominators,
first find a common denominator.

Then, add or subtract the numerators and keep the denominator the same.

	$+$		$=$	$?$
$\frac{1}{2}$	$+$	$\frac{2}{3}$	$=$	$?$

First, find a fraction that is equivalent to

\frac{1}{2}

with a denominator of 6.
Since 2 times 3 is 6, multiply

\frac{1}{2}

\frac{3}{3}

to find a fraction equivalent to

\frac{1}{2}

with a denominator of 6.

\frac{1}{2} \times \frac{3}{3} = \frac{3}{6}

=

Next, find a fraction that is equivalent to

\frac{2}{3}

with a denominator of 6.
Since 3 times 2 is 6, multiply

\frac{2}{3}

\frac{2}{2}

to find a fraction equivalent to

\frac{2}{3}

with a denominator of 6.

\frac{2}{3} \times \frac{2}{2} = \frac{4}{6}

=

Then, add the fractions.

$\frac{3}{6}$	$+$	$\frac{4}{6}$	$=$	$\frac{7}{6}$
	$+$		$=$

One way to add or subtract mixed numbers is to subtract
the whole numbers and the fractions separately.

If the fractions have unlike denominators, first find a common denominator.
Then, add or subtract the whole numbers and the fractions.

First, find a fraction that is equivalent to

\frac{2}{4}

with a denominator of 12.
Since 4 times 3 is 12, multiply

\frac{2}{4}

\frac{3}{3}

to find a fraction equivalent to

\frac{2}{4}

with a denominator of 12.

\frac{2}{4} \times \frac{3}{3} = \frac{6}{12}

Then, subtract the mixed numbers by subtracting the whole numbers and fractions separately.

\begin{array}{rcl} 9 \frac{6}{12} - 5 \frac{1}{12} & = & (9 - 5) + (\frac{6}{12} - \frac{1}{12}) \\ = & 4 + \frac{5}{12} \\ = & 4 \frac{5}{12} \end{array}

Add & Subtract Fractions

Georgia Standards of Excellence (GSE): 6.NR.1.1

Fluently add and subtract any combination of fractions to solve problems.

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