Calculators & Converters

    What is 3/5 minus 2/9?

    Fraction Calculator

    3/5 - 2/9 as a fraction provides the detailed information about what is the difference between 3/5 and 2/9 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.

    3/5-2/9 equals to
    3/5 - 2/9 = 17/45
    Hence, 3/5 - 2/9 is equal to 17/45.
    where
    3/5 is a fraction as a minuend,
    2/9 is a fraction as a subtrahend,
    17/45 is the difference between 3/5 and 2/9.

    3/5 minus 2/9 as a decimal
    3/5 - 2/9 = 17/45
    17/45 = 0.3778
    Hence, 3/5-2/9 can be written as 0.3778 in decimal.
    where
    0.3778 is the difference between 3/5 and 2/9.

    For values other than 3/5 minus 2/9, use this below tool:

    How-to: 3/5 - 2/9 = ?

    The below workout with step by step calculation for subtracting 3/5 from 2/9 shows how to find what is the difference between 3/5 and 2/9. The difference of fractions 3/5 minus 2/9 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 2/9 as a fraction?

    step 1 Observe the input parameters and what to be found:
    Input:
    Fraction A: 3/5
    Fraction B: 2/9

    What to be found?
    3/5-2/9 = ?
    Find what's the difference between 3/5 and 2/9.


    step 2 Compare the denominators of fractions 3/5 and 2/9 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 3/5 and 2/9 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 2/9:
    The LCM of 5 and 9 is 45.


    step 4 Write the fractions 3/5 and 2/9 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
    =3/5-2/9
    =(3 x 45)/(5 x 45)-(2 x 45)/(9 x 45)


    step 5 Simplify the expression to have common denominator:
    =27/45-10/45


    step 6 Take the common values out and rewrite the above expression like the below:
    =1/45 x (27/1-10/1)
    =1/45 x (27 - 10)


    step 7Simplify the above expression further:
    =1/45 x 17
    =17/45
    3/5-2/9=17/45

    Hence,
    3/5 minus 2/9 equals to 17/45 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: 2/9

    What to be found?
    3/5-2/9 = ?
    Find what's the difference between 3/5 and 2/9.

    step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 9), find the product of numerator of Fraction B and denominator of Fraction A (2 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 9) and rewrite the equation as like the below:
    = (3 x 9) - (2 x 5)/(5 x 9)

    step 3 Simplify and rewrite the fraction:
    = (27 - 10)/45
    3/5-2/9 = 17/45
    Hence,
    3/5 minus 2/9 = 17/45

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