Calculators & Converters

    7/9 minus 2/5 as a fraction

    Fraction Subtraction Calculator

    7/9 - 2/5 as a fraction provides the detailed information about what is 7/9 minus 2/5 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.

    7/9-2/5 equals to
    7/9 - 2/5 = (?)
    7/9 - 2/5 = [(7 x 5) - (2 x 9)]/(9 x 5)
    = (35 - 18)/45
    = 17/45
    7/9 - 2/5 = 17/45
    7/9 minus 2/5 is equal to 17/45

    where
    7/9 is a fraction as a minuend,
    2/5 is a fraction as a subtrahend,
    17/45 is the difference between 7/9 and 2/5.

    7/9 minus 2/5 as a decimal
    7/9 - 2/5 = 17/45
    17/45 = 0.3778
    7/9-2/5 as a decimal is 0.3778
    where
    0.3778 is the difference between 7/9 and 2/5.

    For values other than 7/9 minus 2/5, use this below tool:

    How-to: 7/9 - 2/5 = ?

    The below workout with step by step calculation shows how to find what is 7/9 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 7/9 minus 2/5 as a fraction?

    step 1 Observe the input parameters and what to be found:
    Input:
    Fraction A: 7/9
    Fraction B: 2/5

    What to be found?
    7/9-2/5 = ?
    Find what's the difference between 7/9 and 2/5.


    step 2 Compare the denominators of fractions 7/9 and 2/5 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 7/9 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 7/9 and 2/5:
    The LCM of 9 and 5 is 45.


    step 4 Write the fractions 7/9 and 2/5 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
    =7/9-2/5
    =(7 x 45)/(9 x 45)-(2 x 45)/(5 x 45)


    step 5 Simplify the expression to have common denominator:
    =35/45-18/45


    step 6 Take the common values out and rewrite the above expression like the below:
    =1/45 x (35/1-18/1)
    =1/45 x (35 - 18)


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

    Hence,
    7/9 minus 2/5 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: 7/9
    Fraction B: 2/5

    What to be found?
    7/9-2/5 = ?
    Find what's the difference between 7/9 and 2/5.

    step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 5), find the product of numerator of Fraction B and denominator of Fraction A (2 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 5) and rewrite the equation as like the below:
    = (7 x 5) - (2 x 9)/(9 x 5)

    step 3 Simplify and rewrite the fraction:
    = (35 - 18)/45
    7/9-2/5 = 17/45
    Hence,
    7/9 minus 2/5 = 17/45

    getcalc.com Calculators