Calculators & Converters

    1/9 minus 1/3 as a fraction

    Fraction Subtraction Calculator

    1/9 - 1/3 as a fraction provides the detailed information about what is 1/9 minus 1/3 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.

    1/9-1/3 equals to
    1/9 - 1/3 = (?)
    1/9 - 1/3 = [(1 x 3) - (1 x 9)]/(9 x 3)
    = (3 - 9)/27
    = -6/27
    = (3 x -2)/(3 x 9)
    = -2/9
    1/9 - 1/3 = -2/9
    1/9 minus 1/3 is equal to -2/9

    where
    1/9 is a fraction as a minuend,
    1/3 is a fraction as a subtrahend,
    -2/9 is the difference between 1/9 and 1/3.

    1/9 minus 1/3 as a decimal
    1/9 - 1/3 = -2/9
    -2/9 = -0.2222
    1/9-1/3 as a decimal is -0.2222
    where
    -0.2222 is the difference between 1/9 and 1/3.

    For values other than 1/9 minus 1/3, use this below tool:

    How-to: 1/9 - 1/3 = ?

    The below workout with step by step calculation shows how to find what is 1/9 minus 1/3 in simplest form by using the following methods:
    1. LCM method,
    2. Cross multiplication method.

    Problem and Workout - LCM Method:
    What is 1/9 minus 1/3 as a fraction?

    step 1 Observe the input parameters and what to be found:
    Input:
    Fraction A: 1/9
    Fraction B: 1/3

    What to be found?
    1/9-1/3 = ?
    Find what's the difference between 1/9 and 1/3.


    step 2 Compare the denominators of fractions 1/9 and 1/3 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/9 and 1/3 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 1/9 and 1/3:
    The LCM of 9 and 3 is 9.


    step 4 Write the fractions 1/9 and 1/3 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
    =1/9-1/3
    =(1 x 9)/(9 x 9)-(1 x 9)/(3 x 9)


    step 5 Simplify the expression to have common denominator:
    =1/9-3/9


    step 6 Take the common values out and rewrite the above expression like the below:
    =1/9 x (1/1-3/1)
    =1/9 x (1 - 3)


    step 7Simplify the above expression further:
    =1/9 x -2
    =-2/9
    1/9-1/3=-2/9

    Hence,
    1/9 minus 1/3 equals to -2/9 in fraction.



    Problem and Workout - Cross Multiplication Method
    step 1 Observe the input parameters and what to be found:
    Input:
    Fraction A: 1/9
    Fraction B: 1/3

    What to be found?
    1/9-1/3 = ?
    Find what's the difference between 1/9 and 1/3.

    step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 3), find the product of numerator of Fraction B and denominator of Fraction A (1 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 3) and rewrite the equation as like the below:
    = (1 x 3) - (1 x 9)/(9 x 3)

    step 3 Simplify and rewrite the fraction:
    = (3 - 9)/27
    = -6/27
    = -2/9
    1/9-1/3 = -2/9
    Hence,
    1/9 minus 1/3 = -2/9

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