Calculators & Converters

    What is 2/3 minus 3/10?

    Fraction Calculator

    2/3 - 3/10 as a fraction provides the detailed information about what is the difference between 2/3 and 3/10 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.

    2/3-3/10 equals to
    2/3 - 3/10 = 11/30
    Hence, 2/3 - 3/10 is equal to 11/30.
    where
    2/3 is a fraction as a minuend,
    3/10 is a fraction as a subtrahend,
    11/30 is the difference between 2/3 and 3/10.

    2/3 minus 3/10 as a decimal
    2/3 - 3/10 = 11/30
    11/30 = 0.3667
    Hence, 2/3-3/10 can be written as 0.3667 in decimal.
    where
    0.3667 is the difference between 2/3 and 3/10.

    For values other than 2/3 minus 3/10, use this below tool:

    How-to: 2/3 - 3/10 = ?

    The below workout with step by step calculation for subtracting 2/3 from 3/10 shows how to find what is the difference between 2/3 and 3/10. The difference of fractions 2/3 minus 3/10 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 2/3 minus 3/10 as a fraction?

    step 1 Observe the input parameters and what to be found:
    Input:
    Fraction A: 2/3
    Fraction B: 3/10

    What to be found?
    2/3-3/10 = ?
    Find what's the difference between 2/3 and 3/10.


    step 2 Compare the denominators of fractions 2/3 and 3/10 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 2/3 and 3/10 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 3/10:
    The LCM of 3 and 10 is 30.


    step 4 Write the fractions 2/3 and 3/10 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
    =2/3-3/10
    =(2 x 30)/(3 x 30)-(3 x 30)/(10 x 30)


    step 5 Simplify the expression to have common denominator:
    =20/30-9/30


    step 6 Take the common values out and rewrite the above expression like the below:
    =1/30 x (20/1-9/1)
    =1/30 x (20 - 9)


    step 7Simplify the above expression further:
    =1/30 x 11
    =11/30
    2/3-3/10=11/30

    Hence,
    2/3 minus 3/10 equals to 11/30 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: 3/10

    What to be found?
    2/3-3/10 = ?
    Find what's the difference between 2/3 and 3/10.

    step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 10), find the product of numerator of Fraction B and denominator of Fraction A (3 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 10) and rewrite the equation as like the below:
    = (2 x 10) - (3 x 3)/(3 x 10)

    step 3 Simplify and rewrite the fraction:
    = (20 - 9)/30
    2/3-3/10 = 11/30
    Hence,
    2/3 minus 3/10 = 11/30

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