Calculators & Converters

    3/5 minus 3/10 as a fraction

    Fraction Subtraction Calculator

    3/5 - 3/10 as a fraction provides the detailed information about what is 3/5 minus 3/10 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.

    3/5-3/10 equals to
    3/5 - 3/10 = (?)
    3/5 - 3/10 = [(3 x 10) - (3 x 5)]/(5 x 10)
    = (30 - 15)/50
    = 15/50
    = (5 x 3)/(5 x 10)
    = 3/10
    3/5 - 3/10 = 3/10
    3/5 minus 3/10 is equal to 3/10

    where
    3/5 is a fraction as a minuend,
    3/10 is a fraction as a subtrahend,
    3/10 is the difference between 3/5 and 3/10.

    3/5 minus 3/10 as a decimal
    3/5 - 3/10 = 3/10
    3/10 = 0.3
    3/5-3/10 as a decimal is 0.3
    where
    0.3 is the difference between 3/5 and 3/10.

    For values other than 3/5 minus 3/10, use this below tool:

    How-to: 3/5 - 3/10 = ?

    The below workout with step by step calculation shows how to find what is 3/5 minus 3/10 in simplest form by using the following methods:
    1. LCM method,
    2. Cross multiplication method.

    Problem and Workout - LCM Method:
    What is 3/5 minus 3/10 as a fraction?

    step 1 Observe the input parameters and what to be found:
    Input:
    Fraction A: 3/5
    Fraction B: 3/10

    What to be found?
    3/5-3/10 = ?
    Find what's the difference between 3/5 and 3/10.


    step 2 Compare the denominators of fractions 3/5 and 3/10 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 3/5 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 3/5 and 3/10:
    The LCM of 5 and 10 is 10.


    step 4 Write the fractions 3/5 and 3/10 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
    =3/5-3/10
    =(3 x 10)/(5 x 10)-(3 x 10)/(10 x 10)


    step 5 Simplify the expression to have common denominator:
    =6/10-3/10


    step 6 Take the common values out and rewrite the above expression like the below:
    =1/10 x (6/1-3/1)
    =1/10 x (6 - 3)


    step 7Simplify the above expression further:
    =1/10 x 3
    =3/10
    3/5-3/10=3/10

    Hence,
    3/5 minus 3/10 equals to 3/10 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: 3/10

    What to be found?
    3/5-3/10 = ?
    Find what's the difference between 3/5 and 3/10.

    step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 10), find the product of numerator of Fraction B and denominator of Fraction A (3 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 10) and rewrite the equation as like the below:
    = (3 x 10) - (3 x 5)/(5 x 10)

    step 3 Simplify and rewrite the fraction:
    = (30 - 15)/50
    = 15/50
    = 3/10
    3/5-3/10 = 3/10
    Hence,
    3/5 minus 3/10 = 3/10

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