BASIC MATH CALCULATORS


TOOL: SUBTRACTING MIXED FRACTIONS CALCULATOR


SUBTRACTING MIXED FRACTIONS CALCULATOR

Enter mixed fractions.




31622312
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SOLUTION

361212

Both the numerator and denominator are divisible by 3. Simplify the result.

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ALTERNATIVE SOLUTION

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

316223\mathrm{\color{chocolate}3\color{black}\dfrac{\color{#3a5998}1}{\color{#3a5998}6}-\color{chocolate}2\color{black}\dfrac{\color{#3a5998}2}{\color{#3a5998}3}} =3+16(2+23)=\mathrm{\color{chocolate}3\color{black}+\dfrac{\color{#3a5998}1}{\color{#3a5998}6}-\left(\color{chocolate}2\color{black}+\dfrac{\color{#3a5998}2}{\color{#3a5998}3}\right)} =3+16223=\mathrm{\color{chocolate}3\color{black}+\dfrac{\color{#3a5998}1}{\color{#3a5998}6}-\color{chocolate}2\color{black}-\dfrac{\color{#3a5998}2}{\color{#3a5998}3}}

● Subtract the whole and fraction parts separately.

3+16223\mathrm{\color{chocolate}3\color{black}+\dfrac{\color{#3a5998}1}{\color{#3a5998}6}-\color{chocolate}2\color{black}-\dfrac{\color{#3a5998}2}{\color{#3a5998}3}} =(32)+(1623)=\mathrm{\left(\color{chocolate}3\color{black}-\color{chocolate}2\color{black}\right)+\left(\dfrac{\color{#3a5998}1}{\color{#3a5998}6}-\dfrac{\color{#3a5998}2}{\color{#3a5998}3}\right)}

● The result of subtraction among the whole parts is 1.

32=1\mathrm{\color{chocolate}3\color{black}-\color{chocolate}2\color{black}=\color{chocolate}1}

● The result of subtraction among the fraction parts is 36\mathrm{-\dfrac{\color{#3a5998}3}{\color{#3a5998}6}}.

1623=36\mathrm{\dfrac{\color{#3a5998}1}{\color{#3a5998}6}-\dfrac{\color{#3a5998}2}{\color{#3a5998}3}=-\dfrac{\color{#3a5998}3}{\color{#3a5998}6}}

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

136\mathrm{\color{chocolate}1\color{black}-\dfrac{\color{#3a5998}3}{\color{#3a5998}6}} =36=\mathrm{\dfrac{\color{black}3}{\color{black}6}}

● Simplify the result.

3162=12\mathrm{\dfrac{\color{black}\bcancel{3}^{1}}{\color{black}\bcancel{6}^{2}}=\dfrac{\color{olive}1}{\color{olive}2}}

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OTHER INFORMATION

👉 Click here to see how to find the LCM of 6 and 3.

👉 Click here to see how to convert 316\mathrm{3\dfrac{1}{6}} to an improper fraction.

👉 Click here to see how to convert 223\mathrm{2\dfrac{2}{3}} to an improper fraction.

👉 Click here to see how to simplify 36\mathrm{\dfrac{3}{6}}.

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INFORMATION

There are two main methods that we use to subtract mixed numbers. In the first method, we convert the mixed numbers to improper fractions and apply the same rules as the subtraction of fractions. In the second method, we subtract the whole and fractional parts, separately. The calculator above describes the solution using both methods.

WHAT IS SUBTRACTING MIXED FRACTIONS CALCULATOR?

Subtracting fractions calculator,

  • Calculates the difference between mixed numbers, fractions and whole numbers; and
  • Illustrates the solution steps with animations.
Adding negative mixed numbers

It is possible to subtract negative numbers using this calculator. To enter a negative mixed number start with a "-" sign in the whole part.

Adding whole numbers

If one of the numbers is an integer, keep the numerator and denominator empty and write the integer to the whole part.

Adding fractions

If one of the numbers is a fraction (without the whole part) keep the whole part empty.

Adding negative fractions

To enter a negative fraction put "-" symbol to the whole part.

HOW TO USE THE SUBTRACTING MIXED FRACTIONS CALCULATOR?

You can use the subtracting fractions calculator in two ways.

  • USER INPUTS

    Calculate button-mixed numbers

    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

    random button-mixed numbers

    You can click on the DIE ICON next to the input boxes. If you use this property, two random mixed 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.

  • CLEARING THE INPUT BOXES

    Clear button-mixed numbers

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

  • COPYING & DOWNLOADING THE SOLUTION

    • Copy Link

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

    • Download Link

      Even you can download the solution as an image file with .jpg extension if you click on the "Download Solution" link at the bottom of the solution panel. You can share the downloaded image file.

 

CALCULATORS

Mixed Fraction Calculators