Calculators & Converters

    8/9 minus 5/12 as a fraction

    Fraction Subtraction Calculator

    8/9 - 5/12 as a fraction provides the detailed information about what is 8/9 minus 5/12 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.

    8/9-5/12 equals to
    8/9 - 5/12 = (?)
    8/9 - 5/12 = [(8 x 12) - (5 x 9)]/(9 x 12)
    = (96 - 45)/108
    = 51/108
    = (3 x 17)/(3 x 36)
    = 17/36
    8/9 - 5/12 = 17/36
    8/9 minus 5/12 is equal to 17/36

    where
    8/9 is a fraction as a minuend,
    5/12 is a fraction as a subtrahend,
    17/36 is the difference between 8/9 and 5/12.

    8/9 minus 5/12 as a decimal
    8/9 - 5/12 = 17/36
    17/36 = 0.4722
    8/9-5/12 as a decimal is 0.4722
    where
    0.4722 is the difference between 8/9 and 5/12.

    For values other than 8/9 minus 5/12, use this below tool:

    How-to: 8/9 - 5/12 = ?

    The below workout with step by step calculation shows how to find what is 8/9 minus 5/12 in simplest form by using the following methods:
    1. LCM method,
    2. Cross multiplication method.

    Problem and Workout - LCM Method:
    What is 8/9 minus 5/12 as a fraction?

    step 1 Observe the input parameters and what to be found:
    Input:
    Fraction A: 8/9
    Fraction B: 5/12

    What to be found?
    8/9-5/12 = ?
    Find what's the difference between 8/9 and 5/12.


    step 2 Compare the denominators of fractions 8/9 and 5/12 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 8/9 and 5/12 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 8/9 and 5/12:
    The LCM of 9 and 12 is 36.


    step 4 Write the fractions 8/9 and 5/12 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
    =8/9-5/12
    =(8 x 36)/(9 x 36)-(5 x 36)/(12 x 36)


    step 5 Simplify the expression to have common denominator:
    =32/36-15/36


    step 6 Take the common values out and rewrite the above expression like the below:
    =1/36 x (32/1-15/1)
    =1/36 x (32 - 15)


    step 7Simplify the above expression further:
    =1/36 x 17
    =17/36
    8/9-5/12=17/36

    Hence,
    8/9 minus 5/12 equals to 17/36 in fraction.



    Problem and Workout - Cross Multiplication Method
    step 1 Observe the input parameters and what to be found:
    Input:
    Fraction A: 8/9
    Fraction B: 5/12

    What to be found?
    8/9-5/12 = ?
    Find what's the difference between 8/9 and 5/12.

    step 2 Find the product of numerator of Fraction A and denominator of Fraction B (8 x 12), 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 12) and rewrite the equation as like the below:
    = (8 x 12) - (5 x 9)/(9 x 12)

    step 3 Simplify and rewrite the fraction:
    = (96 - 45)/108
    = 51/108
    = 17/36
    8/9-5/12 = 17/36
    Hence,
    8/9 minus 5/12 = 17/36

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