Calculators & Converters

    1/10 minus 1/4 as a fraction

    Fraction Subtraction Calculator

    1/10 - 1/4 as a fraction provides the detailed information about what is 1/10 minus 1/4 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.

    1/10-1/4 equals to
    1/10 - 1/4 = (?)
    1/10 - 1/4 = [(1 x 4) - (1 x 10)]/(10 x 4)
    = (4 - 10)/40
    = -6/40
    = (2 x -3)/(2 x 20)
    = -3/20
    1/10 - 1/4 = -3/20
    1/10 minus 1/4 is equal to -3/20

    where
    1/10 is a fraction as a minuend,
    1/4 is a fraction as a subtrahend,
    -3/20 is the difference between 1/10 and 1/4.

    1/10 minus 1/4 as a decimal
    1/10 - 1/4 = -3/20
    -3/20 = -0.15
    1/10-1/4 as a decimal is -0.15
    where
    -0.15 is the difference between 1/10 and 1/4.

    For values other than 1/10 minus 1/4, use this below tool:

    How-to: 1/10 - 1/4 = ?

    The below workout with step by step calculation shows how to find what is 1/10 minus 1/4 in simplest form by using the following methods:
    1. LCM method,
    2. Cross multiplication method.

    Problem and Workout - LCM Method:
    What is 1/10 minus 1/4 as a fraction?

    step 1 Observe the input parameters and what to be found:
    Input:
    Fraction A: 1/10
    Fraction B: 1/4

    What to be found?
    1/10-1/4 = ?
    Find what's the difference between 1/10 and 1/4.


    step 2 Compare the denominators of fractions 1/10 and 1/4 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/10 and 1/4 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 1/10 and 1/4:
    The LCM of 10 and 4 is 20.


    step 4 Write the fractions 1/10 and 1/4 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
    =1/10-1/4
    =(1 x 20)/(10 x 20)-(1 x 20)/(4 x 20)


    step 5 Simplify the expression to have common denominator:
    =2/20-5/20


    step 6 Take the common values out and rewrite the above expression like the below:
    =1/20 x (2/1-5/1)
    =1/20 x (2 - 5)


    step 7Simplify the above expression further:
    =1/20 x -3
    =-3/20
    1/10-1/4=-3/20

    Hence,
    1/10 minus 1/4 equals to -3/20 in fraction.



    Problem and Workout - Cross Multiplication Method
    step 1 Observe the input parameters and what to be found:
    Input:
    Fraction A: 1/10
    Fraction B: 1/4

    What to be found?
    1/10-1/4 = ?
    Find what's the difference between 1/10 and 1/4.

    step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 4), find the product of numerator of Fraction B and denominator of Fraction A (1 x 10), and find the product of both denominators of Fraction A and Fraction B (10 x 4) and rewrite the equation as like the below:
    = (1 x 4) - (1 x 10)/(10 x 4)

    step 3 Simplify and rewrite the fraction:
    = (4 - 10)/40
    = -6/40
    = -3/20
    1/10-1/4 = -3/20
    Hence,
    1/10 minus 1/4 = -3/20

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