Calculators & Converters

    What is 1/2 minus 3?

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    1/2 - 3 as a fraction provides the detailed information about what is the difference between 1/2 and 3 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.

    1/2-3 equals to
    1/2 - 3 = -5/2
    Hence, 1/2 - 3 is equal to -5/2.
    where
    1/2 is a fraction as a minuend,
    3 is a fraction as a subtrahend,
    -5/2 is the difference between 1/2 and 3.

    1/2 minus 3 as a decimal
    1/2 - 3 = -5/2
    -5/2 = -2.5
    Hence, 1/2-3 can be written as -2.5 in decimal.
    where
    -2.5 is the difference between 1/2 and 3.

    For values other than 1/2 minus 3, use this below tool:

    How-to: 1/2 - 3 = ?

    The below workout with step by step calculation for subtracting 1/2 from 3 shows how to find what is the difference between 1/2 and 3. The difference of fractions 1/2 minus 3 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 1/2 minus 3 as a fraction?

    step 1 Observe the input parameters and what to be found:
    Input:
    Fraction A: 1/2
    Fraction B: 3/1

    What to be found?
    1/2-3 = ?
    Find what's the difference between 1/2 and 3.


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


    step 4 Write the fractions 1/2 and 3 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
    =1/2-3
    =(1 x 2)/(2 x 2)-(3 x 2)/(1 x 2)


    step 5 Simplify the expression to have common denominator:
    =1/2-6/2


    step 6 Take the common values out and rewrite the above expression like the below:
    =1/2 x (1/1-6/1)
    =1/2 x (1 - 6)


    step 7Simplify the above expression further:
    =1/2 x -5
    =-5/2
    1/2-3=-5/2

    Hence,
    1/2 minus 3 equals to -5/2 in fraction.



    Problem and Workout - Cross Multiplication Method
    step 1 Observe the input parameters and what to be found:
    Input:
    Fraction A: 1/2
    Fraction B: 3/1

    What to be found?
    1/2-3 = ?
    Find what's the difference between 1/2 and 3.

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

    step 3 Simplify and rewrite the fraction:
    = (1 - 6)/2
    1/2-3 = -5/2
    Hence,
    1/2 minus 3 = -5/2

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