Calculators & Converters

    2/5 minus 3/7 as a fraction

    Fraction Subtraction Calculator

    2/5 - 3/7 as a fraction provides the detailed information about what is 2/5 minus 3/7 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.

    2/5-3/7 equals to
    2/5 - 3/7 = (?)
    2/5 - 3/7 = [(2 x 7) - (3 x 5)]/(5 x 7)
    = (14 - 15)/35
    = -1/35
    2/5 - 3/7 = -1/35
    2/5 minus 3/7 is equal to -1/35

    where
    2/5 is a fraction as a minuend,
    3/7 is a fraction as a subtrahend,
    -1/35 is the difference between 2/5 and 3/7.

    2/5 minus 3/7 as a decimal
    2/5 - 3/7 = -1/35
    -1/35 = -0.0286
    2/5-3/7 as a decimal is -0.0286
    where
    -0.0286 is the difference between 2/5 and 3/7.

    For values other than 2/5 minus 3/7, use this below tool:

    How-to: 2/5 - 3/7 = ?

    The below workout with step by step calculation shows how to find what is 2/5 minus 3/7 in simplest form by using the following methods:
    1. LCM method,
    2. Cross multiplication method.

    Problem and Workout - LCM Method:
    What is 2/5 minus 3/7 as a fraction?

    step 1 Observe the input parameters and what to be found:
    Input:
    Fraction A: 2/5
    Fraction B: 3/7

    What to be found?
    2/5-3/7 = ?
    Find what's the difference between 2/5 and 3/7.


    step 2 Compare the denominators of fractions 2/5 and 3/7 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 2/5 and 3/7 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 2/5 and 3/7:
    The LCM of 5 and 7 is 35.


    step 4 Write the fractions 2/5 and 3/7 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
    =2/5-3/7
    =(2 x 35)/(5 x 35)-(3 x 35)/(7 x 35)


    step 5 Simplify the expression to have common denominator:
    =14/35-15/35


    step 6 Take the common values out and rewrite the above expression like the below:
    =1/35 x (14/1-15/1)
    =1/35 x (14 - 15)


    step 7Simplify the above expression further:
    =1/35 x -1
    =-1/35
    2/5-3/7=-1/35

    Hence,
    2/5 minus 3/7 equals to -1/35 in fraction.



    Problem and Workout - Cross Multiplication Method
    step 1 Observe the input parameters and what to be found:
    Input:
    Fraction A: 2/5
    Fraction B: 3/7

    What to be found?
    2/5-3/7 = ?
    Find what's the difference between 2/5 and 3/7.

    step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 7), 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 7) and rewrite the equation as like the below:
    = (2 x 7) - (3 x 5)/(5 x 7)

    step 3 Simplify and rewrite the fraction:
    = (14 - 15)/35
    2/5-3/7 = -1/35
    Hence,
    2/5 minus 3/7 = -1/35

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