To subtract mixed numbers with like denominators, we subtract

  • whole numbers from whole numbers, and

  • fractions from fractions.

For example, let's find the value of

{\color{red}9} \,{\color{blue}\dfrac{3}{5}} - {\color{red}6} \,{\color{blue}\dfrac{2}{5}} .

  • Subtracting the whole numbers, we get {\color{red}9} - {\color{red}6} = {\color{red}{3}}.

  • Subtracting the fractions, we get {\color{blue}\dfrac{3}{5}} - {\color{blue}\dfrac{2}{5}} = \dfrac{3 - 2}{5} = {\color{blue}{\dfrac{1}{5}}}.

Finally, we combine our results:

9 \,\dfrac{3}{5} - 6 \,\dfrac{2}{5} = {\color{red}{3}}{\color{blue}{\dfrac{1}{5}}}.

FLAG

Find the value of 12 \,\dfrac{4}{6} - 4 \,\dfrac{3}{6}.

EXPLANATION

To subtract mixed numbers with like denominators, we subtract

  • whole numbers from whole numbers, and

  • fractions from fractions.

With that in mind, let's subtract our mixed numbers.

  • Subtracting the whole numbers, we get 12 - 4 = {\color{red}{8}}.

  • Subtracting the fractions, we get \dfrac{4}{6} - \dfrac{3}{6} = \dfrac{4 - 3}{6} = {\color{blue}{\dfrac{1}{6}}}.

Finally, we combine the resulting whole number and fraction to create a mixed number: 12 \,\dfrac{4}{6} - 4 \,\dfrac{3}{6} = {\color{red}{8}}\,{\color{blue}{\dfrac{1}{6}}}

FLAG

$2\,\dfrac 3 4 - 1\,\dfrac 2 4 =$

a
$1\,\dfrac 1 3$
b
$2\,\dfrac 1 4$
c
$1\,\dfrac 1 2$
d
$1\,\dfrac 1 0$
e
$1\,\dfrac 1 4$

$11 \,\dfrac{8}{9} - 9 \,\dfrac{4}{9} = $

a
$1 \, \dfrac{2}{9}$
b
$3 \, \dfrac{1}{9}$
c
$5 \, \dfrac{8}{9}$
d
$4 \, \dfrac{7}{9}$
e
$2 \, \dfrac{4}{9}$

Expressed as a fraction in its simplest form, 5\,\dfrac 37 - 5 \,\dfrac 17 =

EXPLANATION

To subtract mixed numbers with like denominators, we subtract

  • whole numbers from whole numbers, and

  • fractions from fractions.

With that in mind, let's subtract our mixed numbers.

  • Subtracting the whole numbers, we get 5-5 = {\color{red}{0}}.

  • Subtracting the fractions, we get \dfrac 37 - \dfrac 17 = \dfrac{3-1}{7} = {\color{blue}{\dfrac 27}}.

Finally, since the whole number part is zero, we have only the fractional part: 5\,\dfrac 37 - 5 \,\dfrac 17 = {\color{blue}{\dfrac 27}}

FLAG

$2\,\dfrac 3 4 - 2\,\dfrac 2 4 =$

a
$1\dfrac{1}{0}$
b
$\dfrac{1}{2}$
c
$1\dfrac{1}{4}$
d
$0$
e
$\dfrac{1}{4}$

$4\,\dfrac 5 7 - 4 \,\dfrac 2 7 =$

a
$\dfrac{3}{7}$
b
$1 \dfrac{2}{7}$
c
$\dfrac{4}{7}$
d
$0$
e
$4\dfrac{0}{7}$

What is the value of 5 \,\dfrac{2}{5} - 3 \,\dfrac{2}{5} \, ?

EXPLANATION

To subtract mixed numbers with like denominators, we subtract

  • whole numbers from whole numbers, and

  • fractions from fractions.

With that in mind, let's subtract our mixed numbers.

  • Subtracting the whole numbers, we get 5 - 3 = {\color{red}{2}}.

  • Subtracting the fractions, we get \dfrac{2}{5} - \dfrac{2}{5} = \dfrac{2 - 2}{5} = \dfrac{0}{5} = {\color{blue}0}. So, the fractional part is zero. This is because zero divided by any number gives zero.

Finally, we combine the resulting whole number and fraction to create a mixed number: 5 \,\dfrac{2}{5} - 3 \,\dfrac{2}{5} = {\color{red}{2}}+ {\color{blue}0} = {\color{red}2}

FLAG

$3\,\dfrac 1 8 - 2\,\dfrac 1 8=$

a
$1\,\dfrac 1 8$
b
$0$
c
$1$
d
$2$
e
$\dfrac7 8$

$8 \,\dfrac{1}{2} - 6 \,\dfrac{1}{2} =$

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

What is the value of 8 \,\dfrac{7}{9} - 4 \,\dfrac{4}{9} \, ?

EXPLANATION

To subtract mixed numbers with like denominators, we subtract

  • whole numbers from whole numbers, and

  • fractions from fractions.

With that in mind, let's subtract our mixed numbers.

  • Subtracting the whole numbers, we get 8 - 4 = {\color{red}{4}}.

  • Subtracting the fractions, we get \dfrac{7}{9} - \dfrac{4}{9} = \dfrac{7 - 4}{9} = \dfrac{3}{9}. We can simplify this fraction by dividing the numerator and denominator by 3{:} \dfrac{3}{9} = \dfrac{3 \div 3}{9 \div 3} = {\color{blue}{\dfrac{1}{3}}}

Finally, we combine the resulting whole number and fraction to create a mixed number: 8 \,\dfrac{7}{9} - 4 \,\dfrac{4}{9} = {\color{red}{4}}\,{\color{blue}{\dfrac{1}{3}}}

FLAG

$6 \,\dfrac{3}{4} - 2 \,\dfrac{1}{4} =$

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

$7 \,\dfrac{7}{8} - 6 \,\dfrac{3}{8} =$

a
$2 \, \dfrac{1}{4}$
b
$1$
c
$1 \, \dfrac{1}{2}$
d
$1 \, \dfrac{1}{8}$
e
$2$
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