Calculators & Converters

    1/3 minus 2/5 as a fraction

    Fraction Subtraction Calculator

    1/3 - 2/5 as a fraction provides the detailed information about what is 1/3 minus 2/5 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.

    1/3-2/5 equals to
    1/3 - 2/5 = (?)
    1/3 - 2/5 = [(1 x 5) - (2 x 3)]/(3 x 5)
    = (5 - 6)/15
    = -1/15
    1/3 - 2/5 = -1/15
    1/3 minus 2/5 is equal to -1/15

    where
    1/3 is a fraction as a minuend,
    2/5 is a fraction as a subtrahend,
    -1/15 is the difference between 1/3 and 2/5.

    1/3 minus 2/5 as a decimal
    1/3 - 2/5 = -1/15
    -1/15 = -0.0667
    1/3-2/5 as a decimal is -0.0667
    where
    -0.0667 is the difference between 1/3 and 2/5.

    For values other than 1/3 minus 2/5, use this below tool:

    How-to: 1/3 - 2/5 = ?

    The below workout with step by step calculation shows how to find what is 1/3 minus 2/5 in simplest form by using the following methods:
    1. LCM method,
    2. Cross multiplication method.

    Problem and Workout - LCM Method:
    What is 1/3 minus 2/5 as a fraction?

    step 1 Observe the input parameters and what to be found:
    Input:
    Fraction A: 1/3
    Fraction B: 2/5

    What to be found?
    1/3-2/5 = ?
    Find what's the difference between 1/3 and 2/5.


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


    step 4 Write the fractions 1/3 and 2/5 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
    =1/3-2/5
    =(1 x 15)/(3 x 15)-(2 x 15)/(5 x 15)


    step 5 Simplify the expression to have common denominator:
    =5/15-6/15


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


    step 7Simplify the above expression further:
    =1/15 x -1
    =-1/15
    1/3-2/5=-1/15

    Hence,
    1/3 minus 2/5 equals to -1/15 in fraction.



    Problem and Workout - Cross Multiplication Method
    step 1 Observe the input parameters and what to be found:
    Input:
    Fraction A: 1/3
    Fraction B: 2/5

    What to be found?
    1/3-2/5 = ?
    Find what's the difference between 1/3 and 2/5.

    step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 5), find the product of numerator of Fraction B and denominator of Fraction A (2 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 5) and rewrite the equation as like the below:
    = (1 x 5) - (2 x 3)/(3 x 5)

    step 3 Simplify and rewrite the fraction:
    = (5 - 6)/15
    1/3-2/5 = -1/15
    Hence,
    1/3 minus 2/5 = -1/15

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