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Subtracting Fractions Calculator
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To subtract unlike fractions, we convert them into equivalent like fractions and then subtract the numerator without disturbing the denominator. After the subtraction, the fractions can be simplified.

Subtracting Fractions Calculator (or Fraction Subtraction Calculator) takes two fractions and subtracts the second one from the first one and then simplifies the resulting fraction.

It works for fractions with same denominators (like fractions) as well as fractions with different denominators (unlike fractions).

 

Steps for Subtracting Fractions

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Step 1 :  

Calculate the Least Common Denominator (LCD) of the fractions



Step 2 :  

Rename the fractions to have the LCD



Step 3 :  

Subtract the numerators of the fractions and write in fraction, simplify the fraction if needed.



Examples for Subtracting Fractions Calculator

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  1. Subtract the fractions 6/7 and 3/14.


    Step 1 :  

    Given : (6 / 7) - (3 / 14).


    Calculating the LCD 7 and 14


    7 * 2 = 14 .


    14 * 1 = 14 .


    So 14 is the least common number which is divisible by both 7 and 14



    Step 2 :  

    Multiply numerator and denominator with 2 for (fraction 1).


    (6/7) * (2/2) = 12/14 => (fraction 1)


    Multiply numerator and denominator with 1 for (fraction 2).


    (3/14) * (1/1) = 3/14 => (fraction 2)


    From (fraction 1) and (fraction 2) we got  = (12 / 14) - (3 / 14) {Note here the denominators are same}


    So,we keep the denominators part same and subtract numerators part.



    Step 3 :  

    Numerator of (fraction 1) = 12


    Numerator of (fraction 2) = 3


    Subtract = 12 - 3 = 9


    Fraction = 9/14.



    Answer  :  

    9 / 14.



  2. Subtract the fractions 5/9 and 5/6.


    Step 1 :  

    Given: (5 / 9) - (5 / 6).


    Calculating the LCD 9 and 6


    9 * 2 = 18.


    6 * 3 = 18.


    So 18 is the least common number which is divisible by both 9 and 6 .



    Step 2 :  

    Multiply numerator and denominator with 2 for (fraction 1).


    (5/9) * (2/2) = 10/18 (fraction 1).


    Multiply numerator and denominator with 3 for (fraction 2).


    (5/6) * (3/3) = 15/18 (fraction 2).


    From (fraction 1) and (fraction 2) we got  = (10 / 18) - (15 / 18) {Note here the denominators are same}


    So,we keep the denominators part same and subtract numerators part.



    Step 3 :  

    Numerator of (fraction 1) = 10


    Numerator of (fraction 2) = 15


    Subtract = 10 - 15 = -5 .


    Fraction = -5 /18.



    Answer  :  

    -5/18.



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