Calculators & Converters

    7/8 minus 7/12 as a fraction

    Fraction Subtraction Calculator

    7/8 - 7/12 as a fraction provides the detailed information about what is 7/8 minus 7/12 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.

    7/8-7/12 equals to
    7/8 - 7/12 = (?)
    7/8 - 7/12 = [(7 x 12) - (7 x 8)]/(8 x 12)
    = (84 - 56)/96
    = 28/96
    = (4 x 7)/(4 x 24)
    = 7/24
    7/8 - 7/12 = 7/24
    7/8 minus 7/12 is equal to 7/24

    where
    7/8 is a fraction as a minuend,
    7/12 is a fraction as a subtrahend,
    7/24 is the difference between 7/8 and 7/12.

    7/8 minus 7/12 as a decimal
    7/8 - 7/12 = 7/24
    7/24 = 0.2917
    7/8-7/12 as a decimal is 0.2917
    where
    0.2917 is the difference between 7/8 and 7/12.

    For values other than 7/8 minus 7/12, use this below tool:

    How-to: 7/8 - 7/12 = ?

    The below workout with step by step calculation shows how to find what is 7/8 minus 7/12 in simplest form by using the following methods:
    1. LCM method,
    2. Cross multiplication method.

    Problem and Workout - LCM Method:
    What is 7/8 minus 7/12 as a fraction?

    step 1 Observe the input parameters and what to be found:
    Input:
    Fraction A: 7/8
    Fraction B: 7/12

    What to be found?
    7/8-7/12 = ?
    Find what's the difference between 7/8 and 7/12.


    step 2 Compare the denominators of fractions 7/8 and 7/12 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 7/8 and 7/12 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 7/8 and 7/12:
    The LCM of 8 and 12 is 24.


    step 4 Write the fractions 7/8 and 7/12 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
    =7/8-7/12
    =(7 x 24)/(8 x 24)-(7 x 24)/(12 x 24)


    step 5 Simplify the expression to have common denominator:
    =21/24-14/24


    step 6 Take the common values out and rewrite the above expression like the below:
    =1/24 x (21/1-14/1)
    =1/24 x (21 - 14)


    step 7Simplify the above expression further:
    =1/24 x 7
    =7/24
    7/8-7/12=7/24

    Hence,
    7/8 minus 7/12 equals to 7/24 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: 7/12

    What to be found?
    7/8-7/12 = ?
    Find what's the difference between 7/8 and 7/12.

    step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 12), find the product of numerator of Fraction B and denominator of Fraction A (7 x 8), and find the product of both denominators of Fraction A and Fraction B (8 x 12) and rewrite the equation as like the below:
    = (7 x 12) - (7 x 8)/(8 x 12)

    step 3 Simplify and rewrite the fraction:
    = (84 - 56)/96
    = 28/96
    = 7/24
    7/8-7/12 = 7/24
    Hence,
    7/8 minus 7/12 = 7/24

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