15 4.NF.B.3a Math.4.NF.3a 4.NF.B.3.A 4.NR.4.4 4.NF.3.a 4.NF.B.3.a 4.NF.B.3.a 4.NF.3a 4.NF.3.a 4.NF.B.3.a 15.b 4.NF.B.3c Math.4.NF.3c 4.NF.B.3.C 4.NR.4.6 4.NF.3.c 4.NF.3c 4.NF.3.c 4.NF.3.c 4.NF.B.3.c 4.NF.B.3.c CC.2.1.4.C.2 M04.A-F.2.1.1 M04.A-F.2.1.3 MA.4.FR.2.2 MA.4.FR.2.3 MA.4.AR.1.2 4.NR.4.6 4.NR.5.1 4.CAR.5

To add fractions with like denominators, add the
numerators and keep the denominator the same.

$\frac{2}{6}$	$+$	$\frac{3}{6}$	$=$	$?$
	$+$		$=$	$?$

$\frac{2}{6}$	$+$	$\frac{3}{6}$	$=$	$\frac{5}{6}$
	$+$		$=$

To subtract fractions with like denominators, subtract the
numerators and keep the denominator the same.

$\frac{7}{10}$	$-$	$\frac{4}{10}$	$=$	$?$
	$-$		$=$	$?$

$\frac{7}{10}$	$-$	$\frac{4}{10}$	$=$	$\frac{3}{10}$
	$-$		$=$

A mixed number is made up of a whole number and a fraction.

One way to add and subtract mixed numbers is to
convert the mixed numbers to improper fractions.

First, convert

1 \frac{3}{8}

to an improper fraction.
Write 1 as an improper fraction

(\frac{8}{8})

, and add it to

\frac{3}{8}

\frac{8}{8} + \frac{3}{8} = \frac{11}{8}

Next, convert

2 \frac{1}{8}

to an improper fraction.
Write 2 as an improper fraction

(\frac{16}{8})

, and add it to

\frac{1}{8}

\frac{16}{8} + \frac{1}{8} = \frac{17}{8}

Then, add the improper fractions.

\frac{11}{8} + \frac{17}{8} = \frac{28}{8}

Another way to add or subtract mixed numbers
is to use properties of operations.

First, write each mixed number as an addition problem.

3 \frac{2}{3} = 3 + \frac{2}{3}

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

Next, subtract the mixed numbers.

(3 + \frac{2}{3}) - (2 + \frac{1}{3}) = 3 + \frac{2}{3} - 2 - \frac{1}{3}

Use the commutative property to rearrange the numbers so that the whole numbers and fractions are together.

3 - 2 + \frac{2}{3} - \frac{1}{3}

Use the associative property to group the whole numbers and fractions.

(3 - 2) + (\frac{2}{3} - \frac{1}{3})

Subtract, then add.

\begin{matrix} (3 - 2) + (\frac{2}{3} - \frac{1}{3}) & = & 1 + \frac{1}{3} \\ = & 1 \frac{1}{3} \end{matrix}

Add & Subtract Fractions & Mixed Numbers