Calculators & Converters

    3/12 minus 5/8 as a fraction

    Fraction Subtraction Calculator

    3/12 - 5/8 as a fraction provides the detailed information about what is 3/12 minus 5/8 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.

    3/12-5/8 equals to
    3/12 - 5/8 = (?)
    3/12 - 5/8 = [(3 x 8) - (5 x 12)]/(12 x 8)
    = (24 - 60)/96
    = -36/96
    = (12 x -3)/(12 x 8)
    = -3/8
    3/12 - 5/8 = -3/8
    3/12 minus 5/8 is equal to -3/8

    where
    3/12 is a fraction as a minuend,
    5/8 is a fraction as a subtrahend,
    -3/8 is the difference between 3/12 and 5/8.

    3/12 minus 5/8 as a decimal
    3/12 - 5/8 = -3/8
    -3/8 = -0.375
    3/12-5/8 as a decimal is -0.375
    where
    -0.375 is the difference between 3/12 and 5/8.

    For values other than 3/12 minus 5/8, use this below tool:

    How-to: 3/12 - 5/8 = ?

    The below workout with step by step calculation shows how to find what is 3/12 minus 5/8 in simplest form by using the following methods:
    1. LCM method,
    2. Cross multiplication method.

    Problem and Workout - LCM Method:
    What is 3/12 minus 5/8 as a fraction?

    step 1 Observe the input parameters and what to be found:
    Input:
    Fraction A: 3/12
    Fraction B: 5/8

    What to be found?
    3/12-5/8 = ?
    Find what's the difference between 3/12 and 5/8.


    step 2 Compare the denominators of fractions 3/12 and 5/8 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 3/12 and 5/8 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 3/12 and 5/8:
    The LCM of 12 and 8 is 24.


    step 4 Write the fractions 3/12 and 5/8 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
    =3/12-5/8
    =(3 x 24)/(12 x 24)-(5 x 24)/(8 x 24)


    step 5 Simplify the expression to have common denominator:
    =6/24-15/24


    step 6 Take the common values out and rewrite the above expression like the below:
    =1/24 x (6/1-15/1)
    =1/24 x (6 - 15)


    step 7Simplify the above expression further:
    =1/24 x -9
    = -9/24
    =-3/8
    3/12-5/8=-3/8

    Hence,
    3/12 minus 5/8 equals to -3/8 in fraction.



    Problem and Workout - Cross Multiplication Method
    step 1 Observe the input parameters and what to be found:
    Input:
    Fraction A: 3/12
    Fraction B: 5/8

    What to be found?
    3/12-5/8 = ?
    Find what's the difference between 3/12 and 5/8.

    step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 8), find the product of numerator of Fraction B and denominator of Fraction A (5 x 12), and find the product of both denominators of Fraction A and Fraction B (12 x 8) and rewrite the equation as like the below:
    = (3 x 8) - (5 x 12)/(12 x 8)

    step 3 Simplify and rewrite the fraction:
    = (24 - 60)/96
    = -36/96
    = -3/8
    3/12-5/8 = -3/8
    Hence,
    3/12 minus 5/8 = -3/8

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