Calculators & Converters

    7/9 minus 11/6 as a fraction

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    7/9 - 11/6 as a fraction provides the detailed information about what is 7/9 minus 11/6 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.

    7/9-11/6 equals to
    7/9 - 11/6 = (?)
    7/9 - 11/6 = [(7 x 6) - (11 x 9)]/(9 x 6)
    = (42 - 99)/54
    = -57/54
    = (3 x -19)/(3 x 18)
    = -19/18
    7/9 - 11/6 = -19/18
    7/9 minus 11/6 is equal to -19/18

    where
    7/9 is a fraction as a minuend,
    11/6 is a fraction as a subtrahend,
    -19/18 is the difference between 7/9 and 11/6.

    7/9 minus 11/6 as a decimal
    7/9 - 11/6 = -19/18
    -19/18 = -1.0556
    7/9-11/6 as a decimal is -1.0556
    where
    -1.0556 is the difference between 7/9 and 11/6.

    For values other than 7/9 minus 11/6, use this below tool:

    How-to: 7/9 - 11/6 = ?

    The below workout with step by step calculation shows how to find what is 7/9 minus 11/6 in simplest form by using the following methods:
    1. LCM method,
    2. Cross multiplication method.

    Problem and Workout - LCM Method:
    What is 7/9 minus 11/6 as a fraction?

    step 1 Observe the input parameters and what to be found:
    Input:
    Fraction A: 7/9
    Fraction B: 11/6

    What to be found?
    7/9-11/6 = ?
    Find what's the difference between 7/9 and 11/6.


    step 2 Compare the denominators of fractions 7/9 and 11/6 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 7/9 and 11/6 are not equal, it is said to be unlike fractions subtraction.

    step 3For unlike fractions subtraction, find the LCM (least common multiple) of both denominators of fractions 7/9 and 11/6:
    The LCM of 9 and 6 is 18.


    step 4 Write the fractions 7/9 and 11/6 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
    =7/9-11/6
    =(7 x 18)/(9 x 18)-(11 x 18)/(6 x 18)


    step 5 Simplify the expression to have common denominator:
    =14/18-33/18


    step 6 Take the common values out and rewrite the above expression like the below:
    =1/18 x (14/1-33/1)
    =1/18 x (14 - 33)


    step 7Simplify the above expression further:
    =1/18 x -19
    =-19/18
    7/9-11/6=-19/18

    Hence,
    7/9 minus 11/6 equals to -19/18 in fraction.



    Problem and Workout - Cross Multiplication Method
    step 1 Observe the input parameters and what to be found:
    Input:
    Fraction A: 7/9
    Fraction B: 11/6

    What to be found?
    7/9-11/6 = ?
    Find what's the difference between 7/9 and 11/6.

    step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 6), find the product of numerator of Fraction B and denominator of Fraction A (11 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 6) and rewrite the equation as like the below:
    = (7 x 6) - (11 x 9)/(9 x 6)

    step 3 Simplify and rewrite the fraction:
    = (42 - 99)/54
    = -57/54
    = -19/18
    7/9-11/6 = -19/18
    Hence,
    7/9 minus 11/6 = -19/18

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