When subtracting two fractions with the same denominator, we

  • subtract their numerators, and

  • keep the denominator the same.

For example, let's compute the following difference:

\dfrac{3}{5} - \dfrac{2}{5}

We subtract the numerators and keep the denominators the same. Therefore,

\begin{align*} \dfrac 3 5 - \dfrac 2 5 = \dfrac{3-2}{5} = \dfrac 1 5. \end{align*}

We can use a fraction model to confirm this result:

FLAG

Find the value of \dfrac 3 7 - \dfrac 1 7.

EXPLANATION

To subtract two fractions with like denominators, we subtract the numerators and keep the denominators the same. Therefore,

\begin{align*} \dfrac 3 7 - \dfrac 1 7 = \dfrac{3-1}{7} = \dfrac 2 7. \end{align*}

FLAG

$\dfrac 5 6 - \dfrac 4 6 = $

a
$\dfrac 1 6$
b
$\dfrac 1 3$
c
$\dfrac 2 3$
d
$\dfrac 1 {12}$
e
$\dfrac 5 6$

$\dfrac 4 5 - \dfrac 2 5 = $

a
$\dfrac{2}{25}$
b
$\dfrac{8}{25}$
c
$\dfrac{8}{5}$
d
$\dfrac{2}{5}$
e
$\dfrac{2}{0}$

What is the value of \dfrac{5}{6} - \dfrac{3}{6}?

EXPLANATION

To subtract two fractions with like denominators, we subtract the numerators and keep the denominators the same. Therefore,

\begin{align*} \dfrac{5}{6} - \dfrac{3}{6} = \dfrac{5-3}{6} = \dfrac{2}{6}. \end{align*}

We can simplify this fraction by dividing the numerator and the denominator by 2{:}

\dfrac{2}{6} = \dfrac{2\div 2}{6\div 2} = \dfrac{1}{3}

Therefore, we conclude that

\dfrac{5}{6} - \dfrac{3}{6} = \dfrac 1 3.

FLAG

$\dfrac{3}{4} - \dfrac{1}{4} =$

a
$\dfrac 3 4$
b
$\dfrac 5 8$
c
$\dfrac 1 4$
d
$\dfrac 1 2$
e
$\dfrac 3 8$

$\dfrac{8}{9} - \dfrac{2}{9} =$

a
$\dfrac 2 3$
b
$\dfrac 5 9$
c
$\dfrac 1 3$
d
$\dfrac 1 9$
e
$\dfrac 4 9$

Find the value of \dfrac{23}{9} - \dfrac{8}{9}.

EXPLANATION

To subtract two fractions with like denominators, we subtract the numerators and keep the denominators the same. Therefore, \dfrac{23}{9} - \dfrac{8}{9} = \dfrac{23 - 8}{9} = \dfrac{15}{9}.

We can simplify this fraction by dividing the numerator and the denominator by 3{:} \dfrac{15}{9} = \dfrac{15 \div 3}{9 \div 3} = \dfrac{5}{3}

Since 5 \div 3 = 1 \, \textrm{R} \, 2, we can write the answer as a mixed number: \dfrac{5}{3} = 1 \, \dfrac{2}{3}

Therefore, we conclude that \dfrac{23}{9} - \dfrac{8}{9} = 1 \, \dfrac{2}{3}.

FLAG

$\dfrac{12}{5} - \dfrac{3}{5} = $

a
$1\, \dfrac{3}{5}$
b
$2\, \dfrac{1}{5}$
c
$1\, \dfrac{2}{5}$
d
$2\, \dfrac{3}{5}$
e
$1\, \dfrac{4}{5}$

$\dfrac{19}{6} - \dfrac{5}{6} =$

a
$1 \, \dfrac{5}{6}$
b
$2 \, \dfrac{1}{6}$
c
$1 \, \dfrac{2}{3}$
d
$2 \, \dfrac{1}{3}$
e
$2 \, \dfrac{2}{3}$
Flag Content
Did you notice an error, or do you simply believe that something could be improved? Please explain below.
SUBMIT
CANCEL