Calculators & Converters

    What is 7/8 minus 1/6?

    Fraction Calculator

    7/8 - 1/6 as a fraction provides the detailed information about what is the difference between 7/8 and 1/6 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.

    7/8-1/6 equals to
    7/8 - 1/6 = 17/24
    Hence, 7/8 - 1/6 is equal to 17/24.
    where
    7/8 is a fraction as a minuend,
    1/6 is a fraction as a subtrahend,
    17/24 is the difference between 7/8 and 1/6.

    7/8 minus 1/6 as a decimal
    7/8 - 1/6 = 17/24
    17/24 = 0.7083
    Hence, 7/8-1/6 can be written as 0.7083 in decimal.
    where
    0.7083 is the difference between 7/8 and 1/6.

    For values other than 7/8 minus 1/6, use this below tool:

    How-to: 7/8 - 1/6 = ?

    The below workout with step by step calculation for subtracting 7/8 from 1/6 shows how to find what is the difference between 7/8 and 1/6. The difference of fractions 7/8 minus 1/6 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 7/8 minus 1/6 as a fraction?

    step 1 Observe the input parameters and what to be found:
    Input:
    Fraction A: 7/8
    Fraction B: 1/6

    What to be found?
    7/8-1/6 = ?
    Find what's the difference between 7/8 and 1/6.


    step 2 Compare the denominators of fractions 7/8 and 1/6 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 7/8 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 7/8 and 1/6:
    The LCM of 8 and 6 is 24.


    step 4 Write the fractions 7/8 and 1/6 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
    =7/8-1/6
    =(7 x 24)/(8 x 24)-(1 x 24)/(6 x 24)


    step 5 Simplify the expression to have common denominator:
    =21/24-4/24


    step 6 Take the common values out and rewrite the above expression like the below:
    =1/24 x (21/1-4/1)
    =1/24 x (21 - 4)


    step 7Simplify the above expression further:
    =1/24 x 17
    =17/24
    7/8-1/6=17/24

    Hence,
    7/8 minus 1/6 equals to 17/24 in fraction.



    Problem and Workout - Cross Multiplication Method
    step 1 Observe the input parameters and what to be found:
    Input:
    Fraction A: 7/8
    Fraction B: 1/6

    What to be found?
    7/8-1/6 = ?
    Find what's the difference between 7/8 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 8), and find the product of both denominators of Fraction A and Fraction B (8 x 6) and rewrite the equation as like the below:
    = (7 x 6) - (1 x 8)/(8 x 6)

    step 3 Simplify and rewrite the fraction:
    = (42 - 8)/48
    = 34/48
    = 17/24
    7/8-1/6 = 17/24
    Hence,
    7/8 minus 1/6 = 17/24

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