## TOOL: SUBTRACTING MIXED NUMBERS AND FRACTIONS CALCULATOR

#### SUBTRACTING MIXED NUMBERS AND FRACTIONS CALCULATOR

SOLUTION

The difference is equal to 5.

ALTERNATIVE SOLUTION

● A mixed number $\color{chocolate}a\color{black}\dfrac{\color{#3a5998}b}{\color{#3a5998}c}$ can be written as $\color{chocolate}a\color{black}+\dfrac{\color{#3a5998}b}{\color{#3a5998}c}$

$\mathrm{\color{chocolate}1\color{black}\dfrac{\color{#3a5998}1}{\color{#3a5998}3}-\dfrac{\color{#3a5998}1}{\color{#3a5998}2}}$ $=\mathrm{\color{chocolate}1\color{black}+\dfrac{\color{#3a5998}1}{\color{#3a5998}3}-\dfrac{\color{#3a5998}1}{\color{#3a5998}2}}$

● Subtract the whole and fraction parts separately.

$\mathrm{\color{chocolate}1\color{black}+\dfrac{\color{#3a5998}1}{\color{#3a5998}3}-\dfrac{\color{#3a5998}1}{\color{#3a5998}2}}$ $=\mathrm{\color{chocolate}1\color{black}+\left(\dfrac{\color{#3a5998}1}{\color{#3a5998}3}-\dfrac{\color{#3a5998}1}{\color{#3a5998}2}\right)}$

● The result of subtraction among the fraction parts is $\mathrm{-\dfrac{\color{#3a5998}1}{\color{#3a5998}6}}$.

$\mathrm{\dfrac{\color{#3a5998}1}{\color{#3a5998}3}-\dfrac{\color{#3a5998}1}{\color{#3a5998}2}=-\dfrac{\color{#3a5998}1}{\color{#3a5998}6}}$

● Add this number to the difference between the whole numbers.

$\mathrm{\color{chocolate}1\color{black}-\dfrac{\color{#3a5998}1}{\color{#3a5998}6}}$ $=\mathrm{\dfrac{\color{olive}5}{\color{olive}6}}$

OTHER INFORMATION

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## INFORMATION

There are two main methods that we use to calculate subtraction of a mixed number from a fraction or a fraction from a mixed number. In the first method, we convert the mixed number to an improper fraction and apply the same rules as the subtraction of fractions. In the second method, we do the subtraction in the whole and fractional parts, separately. The calculator above describes the solution using both methods.

### WHAT IS SUBTRACTING MIXED NUMBERS AND FRACTIONS CALC.?

Subtracting mixed numbers and fractions calculator,

• Subtracts a mixed number from a fraction;
• Subtracts a fraction from a mixed number; and
• Illustrates the solution steps with animations.

### HOW TO USE THE SUBTRACTING MIXED NUMBERS AND FRACTIONS CALC.?

You can use the subtracting mixed numbers and fractions calculator in two ways.

• #### USER INPUTS

You can enter positive or negative whole numbers, fractions or mixed numbers to the input boxes and click on the "CALCULATE" button. The result and explanations appaer below the calculator

• #### RANDOM INPUTS

You can click on the DIE ICON next to the input boxes. If you use this property, two random numbers are generated and entered to the calculator, automatically. You can see the result and explanations below the calculator. You can create your own examples and practice using this property.

• #### SELECTING THE INPUT TYPE

You can choose whether the subtrahend or the minuend is a mixed number using the dropdown box on top of the input boxes.

• #### CLEARING THE INPUT BOXES

To find the difference between some other numbers you can clear the input box by clicking on the CLEAR button under the input box.

• You can copy the generated solution by clicking on the "Copy Text" link, appaers under the solution panel.