Calculators & Converters

    What is 4/9 minus 5/6?

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    4/9 - 5/6 as a fraction provides the detailed information about what is the difference between 4/9 and 5/6 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.

    4/9-5/6 equals to
    4/9 - 5/6 = -7/18
    Hence, 4/9 - 5/6 is equal to -7/18.
    where
    4/9 is a fraction as a minuend,
    5/6 is a fraction as a subtrahend,
    -7/18 is the difference between 4/9 and 5/6.

    4/9 minus 5/6 as a decimal
    4/9 - 5/6 = -7/18
    -7/18 = -0.3889
    Hence, 4/9-5/6 can be written as -0.3889 in decimal.
    where
    -0.3889 is the difference between 4/9 and 5/6.

    For values other than 4/9 minus 5/6, use this below tool:

    How-to: 4/9 - 5/6 = ?

    The below workout with step by step calculation for subtracting 4/9 from 5/6 shows how to find what is the difference between 4/9 and 5/6. The difference of fractions 4/9 minus 5/6 can be obtained by using anyone of the two methods below:
    1. LCM method,
    2. Cross multiplication method.

    Problem and Workout - LCM Method:
    What is 4/9 minus 5/6 as a fraction?

    step 1 Observe the input parameters and what to be found:
    Input:
    Fraction A: 4/9
    Fraction B: 5/6

    What to be found?
    4/9-5/6 = ?
    Find what's the difference between 4/9 and 5/6.


    step 2 Compare the denominators of fractions 4/9 and 5/6 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 4/9 and 5/6 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 4/9 and 5/6:
    The LCM of 9 and 6 is 18.


    step 4 Write the fractions 4/9 and 5/6 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
    =4/9-5/6
    =(4 x 18)/(9 x 18)-(5 x 18)/(6 x 18)


    step 5 Simplify the expression to have common denominator:
    =8/18-15/18


    step 6 Take the common values out and rewrite the above expression like the below:
    =1/18 x (8/1-15/1)
    =1/18 x (8 - 15)


    step 7Simplify the above expression further:
    =1/18 x -7
    =-7/18
    4/9-5/6=-7/18

    Hence,
    4/9 minus 5/6 equals to -7/18 in fraction.



    Problem and Workout - Cross Multiplication Method
    step 1 Observe the input parameters and what to be found:
    Input:
    Fraction A: 4/9
    Fraction B: 5/6

    What to be found?
    4/9-5/6 = ?
    Find what's the difference between 4/9 and 5/6.

    step 2 Find the product of numerator of Fraction A and denominator of Fraction B (4 x 6), find the product of numerator of Fraction B and denominator of Fraction A (5 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:
    = (4 x 6) - (5 x 9)/(9 x 6)

    step 3 Simplify and rewrite the fraction:
    = (24 - 45)/54
    = -21/54
    = -7/18
    4/9-5/6 = -7/18
    Hence,
    4/9 minus 5/6 = -7/18

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