Calculators & Converters

    1/6 minus 4/7 as a fraction

    Fraction Subtraction Calculator

    1/6 - 4/7 as a fraction provides the detailed information about what is 1/6 minus 4/7 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.

    1/6-4/7 equals to
    1/6 - 4/7 = (?)
    1/6 - 4/7 = [(1 x 7) - (4 x 6)]/(6 x 7)
    = (7 - 24)/42
    = -17/42
    1/6 - 4/7 = -17/42
    1/6 minus 4/7 is equal to -17/42

    where
    1/6 is a fraction as a minuend,
    4/7 is a fraction as a subtrahend,
    -17/42 is the difference between 1/6 and 4/7.

    1/6 minus 4/7 as a decimal
    1/6 - 4/7 = -17/42
    -17/42 = -0.4048
    1/6-4/7 as a decimal is -0.4048
    where
    -0.4048 is the difference between 1/6 and 4/7.

    For values other than 1/6 minus 4/7, use this below tool:

    How-to: 1/6 - 4/7 = ?

    The below workout with step by step calculation shows how to find what is 1/6 minus 4/7 in simplest form by using the following methods:
    1. LCM method,
    2. Cross multiplication method.

    Problem and Workout - LCM Method:
    What is 1/6 minus 4/7 as a fraction?

    step 1 Observe the input parameters and what to be found:
    Input:
    Fraction A: 1/6
    Fraction B: 4/7

    What to be found?
    1/6-4/7 = ?
    Find what's the difference between 1/6 and 4/7.


    step 2 Compare the denominators of fractions 1/6 and 4/7 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/6 and 4/7 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 1/6 and 4/7:
    The LCM of 6 and 7 is 42.


    step 4 Write the fractions 1/6 and 4/7 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
    =1/6-4/7
    =(1 x 42)/(6 x 42)-(4 x 42)/(7 x 42)


    step 5 Simplify the expression to have common denominator:
    =7/42-24/42


    step 6 Take the common values out and rewrite the above expression like the below:
    =1/42 x (7/1-24/1)
    =1/42 x (7 - 24)


    step 7Simplify the above expression further:
    =1/42 x -17
    =-17/42
    1/6-4/7=-17/42

    Hence,
    1/6 minus 4/7 equals to -17/42 in fraction.



    Problem and Workout - Cross Multiplication Method
    step 1 Observe the input parameters and what to be found:
    Input:
    Fraction A: 1/6
    Fraction B: 4/7

    What to be found?
    1/6-4/7 = ?
    Find what's the difference between 1/6 and 4/7.

    step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 7), find the product of numerator of Fraction B and denominator of Fraction A (4 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 7) and rewrite the equation as like the below:
    = (1 x 7) - (4 x 6)/(6 x 7)

    step 3 Simplify and rewrite the fraction:
    = (7 - 24)/42
    1/6-4/7 = -17/42
    Hence,
    1/6 minus 4/7 = -17/42

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