Calculators & Converters

    3/10 minus 2/3 as a fraction

    Fraction Subtraction Calculator

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

    3/10-2/3 equals to
    3/10 - 2/3 = (?)
    3/10 - 2/3 = [(3 x 3) - (2 x 10)]/(10 x 3)
    = (9 - 20)/30
    = -11/30
    3/10 - 2/3 = -11/30
    3/10 minus 2/3 is equal to -11/30

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

    3/10 minus 2/3 as a decimal
    3/10 - 2/3 = -11/30
    -11/30 = -0.3667
    3/10-2/3 as a decimal is -0.3667
    where
    -0.3667 is the difference between 3/10 and 2/3.

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

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

    The below workout with step by step calculation shows how to find what is 3/10 minus 2/3 in simplest form by using the following methods:
    1. LCM method,
    2. Cross multiplication method.

    Problem and Workout - LCM Method:
    What is 3/10 minus 2/3 as a fraction?

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

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


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


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


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


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


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

    Hence,
    3/10 minus 2/3 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: 3/10
    Fraction B: 2/3

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

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

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

    getcalc.com Calculators