Calculators & Converters

    What is 3/5 minus 1/3?

    Fraction Calculator

    3/5 - 1/3 as a fraction provides the detailed information about what is the difference between 3/5 and 1/3 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.

    3/5-1/3 equals to
    3/5 - 1/3 = 4/15
    Hence, 3/5 - 1/3 is equal to 4/15.
    where
    3/5 is a fraction as a minuend,
    1/3 is a fraction as a subtrahend,
    4/15 is the difference between 3/5 and 1/3.

    3/5 minus 1/3 as a decimal
    3/5 - 1/3 = 4/15
    4/15 = 0.2667
    Hence, 3/5-1/3 can be written as 0.2667 in decimal.
    where
    0.2667 is the difference between 3/5 and 1/3.

    For values other than 3/5 minus 1/3, use this below tool:

    How-to: 3/5 - 1/3 = ?

    The below workout with step by step calculation for subtracting 3/5 from 1/3 shows how to find what is the difference between 3/5 and 1/3. The difference of fractions 3/5 minus 1/3 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 3/5 minus 1/3 as a fraction?

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

    What to be found?
    3/5-1/3 = ?
    Find what's the difference between 3/5 and 1/3.


    step 2 Compare the denominators of fractions 3/5 and 1/3 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 3/5 and 1/3 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 3/5 and 1/3:
    The LCM of 5 and 3 is 15.


    step 4 Write the fractions 3/5 and 1/3 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
    =3/5-1/3
    =(3 x 15)/(5 x 15)-(1 x 15)/(3 x 15)


    step 5 Simplify the expression to have common denominator:
    =9/15-5/15


    step 6 Take the common values out and rewrite the above expression like the below:
    =1/15 x (9/1-5/1)
    =1/15 x (9 - 5)


    step 7Simplify the above expression further:
    =1/15 x 4
    =4/15
    3/5-1/3=4/15

    Hence,
    3/5 minus 1/3 equals to 4/15 in fraction.



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

    What to be found?
    3/5-1/3 = ?
    Find what's the difference between 3/5 and 1/3.

    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 (1 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 3) and rewrite the equation as like the below:
    = (3 x 3) - (1 x 5)/(5 x 3)

    step 3 Simplify and rewrite the fraction:
    = (9 - 5)/15
    3/5-1/3 = 4/15
    Hence,
    3/5 minus 1/3 = 4/15

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