Calculators & Converters

    7/9 minus 1/6 as a fraction

    Fraction Subtraction Calculator

    7/9 - 1/6 as a fraction provides the detailed information about what is 7/9 minus 1/6 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.

    7/9-1/6 equals to
    7/9 - 1/6 = (?)
    7/9 - 1/6 = [(7 x 6) - (1 x 9)]/(9 x 6)
    = (42 - 9)/54
    = 33/54
    = (3 x 11)/(3 x 18)
    = 11/18
    7/9 - 1/6 = 11/18
    7/9 minus 1/6 is equal to 11/18

    where
    7/9 is a fraction as a minuend,
    1/6 is a fraction as a subtrahend,
    11/18 is the difference between 7/9 and 1/6.

    7/9 minus 1/6 as a decimal
    7/9 - 1/6 = 11/18
    11/18 = 0.6111
    7/9-1/6 as a decimal is 0.6111
    where
    0.6111 is the difference between 7/9 and 1/6.

    For values other than 7/9 minus 1/6, use this below tool:

    How-to: 7/9 - 1/6 = ?

    The below workout with step by step calculation shows how to find what is 7/9 minus 1/6 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 1/6 as a fraction?

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

    What to be found?
    7/9-1/6 = ?
    Find what's the difference between 7/9 and 1/6.


    step 2 Compare the denominators of fractions 7/9 and 1/6 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 7/9 and 1/6 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 1/6:
    The LCM of 9 and 6 is 18.


    step 4 Write the fractions 7/9 and 1/6 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
    =7/9-1/6
    =(7 x 18)/(9 x 18)-(1 x 18)/(6 x 18)


    step 5 Simplify the expression to have common denominator:
    =14/18-3/18


    step 6 Take the common values out and rewrite the above expression like the below:
    =1/18 x (14/1-3/1)
    =1/18 x (14 - 3)


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

    Hence,
    7/9 minus 1/6 equals to 11/18 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: 1/6

    What to be found?
    7/9-1/6 = ?
    Find what's the difference between 7/9 and 1/6.

    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 (1 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) - (1 x 9)/(9 x 6)

    step 3 Simplify and rewrite the fraction:
    = (42 - 9)/54
    = 33/54
    = 11/18
    7/9-1/6 = 11/18
    Hence,
    7/9 minus 1/6 = 11/18

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