Calculators & Converters

    What is 2/7 minus 4/5?

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    2/7 - 4/5 as a fraction provides the detailed information about what is the difference between 2/7 and 4/5 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.

    2/7-4/5 equals to
    2/7 - 4/5 = -18/35
    Hence, 2/7 - 4/5 is equal to -18/35.
    where
    2/7 is a fraction as a minuend,
    4/5 is a fraction as a subtrahend,
    -18/35 is the difference between 2/7 and 4/5.

    2/7 minus 4/5 as a decimal
    2/7 - 4/5 = -18/35
    -18/35 = -0.5143
    Hence, 2/7-4/5 can be written as -0.5143 in decimal.
    where
    -0.5143 is the difference between 2/7 and 4/5.

    For values other than 2/7 minus 4/5, use this below tool:

    How-to: 2/7 - 4/5 = ?

    The below workout with step by step calculation for subtracting 2/7 from 4/5 shows how to find what is the difference between 2/7 and 4/5. The difference of fractions 2/7 minus 4/5 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 2/7 minus 4/5 as a fraction?

    step 1 Observe the input parameters and what to be found:
    Input:
    Fraction A: 2/7
    Fraction B: 4/5

    What to be found?
    2/7-4/5 = ?
    Find what's the difference between 2/7 and 4/5.


    step 2 Compare the denominators of fractions 2/7 and 4/5 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 2/7 and 4/5 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 2/7 and 4/5:
    The LCM of 7 and 5 is 35.


    step 4 Write the fractions 2/7 and 4/5 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
    =2/7-4/5
    =(2 x 35)/(7 x 35)-(4 x 35)/(5 x 35)


    step 5 Simplify the expression to have common denominator:
    =10/35-28/35


    step 6 Take the common values out and rewrite the above expression like the below:
    =1/35 x (10/1-28/1)
    =1/35 x (10 - 28)


    step 7Simplify the above expression further:
    =1/35 x -18
    =-18/35
    2/7-4/5=-18/35

    Hence,
    2/7 minus 4/5 equals to -18/35 in fraction.



    Problem and Workout - Cross Multiplication Method
    step 1 Observe the input parameters and what to be found:
    Input:
    Fraction A: 2/7
    Fraction B: 4/5

    What to be found?
    2/7-4/5 = ?
    Find what's the difference between 2/7 and 4/5.

    step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 5), find the product of numerator of Fraction B and denominator of Fraction A (4 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 5) and rewrite the equation as like the below:
    = (2 x 5) - (4 x 7)/(7 x 5)

    step 3 Simplify and rewrite the fraction:
    = (10 - 28)/35
    2/7-4/5 = -18/35
    Hence,
    2/7 minus 4/5 = -18/35

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