Calculators & Converters

    2/3 minus 1/2 as a fraction

    Fraction Subtraction Calculator

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

    2/3-1/2 equals to
    2/3 - 1/2 = (?)
    2/3 - 1/2 = [(2 x 2) - (1 x 3)]/(3 x 2)
    = (4 - 3)/6
    = 1/6
    2/3 - 1/2 = 1/6
    2/3 minus 1/2 is equal to 1/6

    where
    2/3 is a fraction as a minuend,
    1/2 is a fraction as a subtrahend,
    1/6 is the difference between 2/3 and 1/2.

    2/3 minus 1/2 as a decimal
    2/3 - 1/2 = 1/6
    1/6 = 0.1667
    2/3-1/2 as a decimal is 0.1667
    where
    0.1667 is the difference between 2/3 and 1/2.

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

    How-to: 2/3 - 1/2 = ?

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

    Problem and Workout - LCM Method:
    What is 2/3 minus 1/2 as a fraction?

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

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


    step 2 Compare the denominators of fractions 2/3 and 1/2 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 2/3 and 1/2 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 2/3 and 1/2:
    The LCM of 3 and 2 is 6.


    step 4 Write the fractions 2/3 and 1/2 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
    =2/3-1/2
    =(2 x 6)/(3 x 6)-(1 x 6)/(2 x 6)


    step 5 Simplify the expression to have common denominator:
    =4/6-3/6


    step 6 Take the common values out and rewrite the above expression like the below:
    =1/6 x (4/1-3/1)
    =1/6 x (4 - 3)


    step 7Simplify the above expression further:
    =1/6 x 1
    =1/6
    2/3-1/2=1/6

    Hence,
    2/3 minus 1/2 equals to 1/6 in fraction.



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

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

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

    step 3 Simplify and rewrite the fraction:
    = (4 - 3)/6
    2/3-1/2 = 1/6
    Hence,
    2/3 minus 1/2 = 1/6

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