3 Ways to Divide Mixed Fractions

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3 Ways to Divide Mixed Fractions
3 Ways to Divide Mixed Fractions
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A mixed number, or mixed fraction, represents one that combines both an integer and a fraction. It is possible to make a division between mixed numbers; however, to do so, they must first be converted into improper fractions. After conversion, you can split them as you would any other fraction.

Steps

Method 1 of 3: Converting Mixed Numbers to Improper Fractions

Step 1. Multiply the whole number by the denominator of its combined fraction

Do this for both mixed numbers and separate the products. They are now a part of the new numerator.

  • For example, if you want to calculate 612÷214{displaystyle 6{frac {1}{2}}\div 2{frac {1}{4}}}

    , você deve multiplicar 6×2=12{displaystyle 6\times 2=12}

    e 2×4=8{displaystyle 2\times 4=8}

    2\times 4=8 />
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  • For example, 12+1=13{displaystyle 12+1=13}

    e 8+1=9{displaystyle 8+1=9}

    8+1=9 />
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    se torna 132{displaystyle {frac {13}{2}}}

    e 214{displaystyle 2{frac {1}{4}}}

    se torna 994{displaystyle 9{frac {9}{4}}}

    9{frac {9}{4}} />
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  • For example, 132÷94{displaystyle {frac {13}{2}}\div {frac {9}{4}}}

    Step 2. Obtain the reciprocal of the second fraction

    To find out, you must invert the fraction so that the numerator becomes the denominator and vice versa. Then turn the problem into a multiplication.

    • For example, to calculate the reciprocal of 94{displaystyle {frac {9}{4}}}

      , obtemos 49{displaystyle {frac {4}{9}}}

      . Desse modo, 132÷94{displaystyle {frac {13}{2}}\div {frac {9}{4}}}

      se torna 132×49{displaystyle {frac {13}{2}}\times {frac {4}{9}}}

      {frac {13}{2}}\times {frac {4}{9}} />
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      , você multiplicará primeiro os numeradores: 13×4=52{displaystyle 13\times 4=52}

      13\times 4=52 />
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  • For example, when calculating 132×49{displaystyle {frac {13}{2}}\times {frac {4}{9}}}

    , você multiplicará os denominadores: 2×9=18{displaystyle 2\times 9=18}

    . Unindo o numerador e o denominador, você obterá a resposta 5218{displaystyle {frac {52}{18}}}

    {frac {52}{18}} />
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  • For example, 52{displaystyle 52}

    e 18{displaystyle 18}

    são ambos divisíveis por 2{displaystyle 2}

    52÷2=26{displaystyle 52\div 2=26}

    18÷2=9{displaystyle 18\div 2=9}

    De modo que 5218=269{displaystyle {frac {52}{18}}={frac {26}{9}}}

    {frac {52}{18}}={frac {26}{9}} />
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<h3>Method 3 of 3: Converting Improper Fractions Back to Mixed Numbers</h3>
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  • For example, 26÷9=2{displaystyle 26\div 9=2}

    com um resto igual a 8{displaystyle 8}

    8 />
<p>. Therefore, the whole number of your mixed number will be 2.</li>
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    e o resto era 8{displaystyle 8}

    , a fração do número misto será 89{displaystyle {frac {8}{9}}}

    {frac {8}{9}} />
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