Calculators & Converters

    3/4 minus 9/2 as a fraction

    Fraction Subtraction Calculator

    3/4 - 9/2 as a fraction provides the detailed information about what is 3/4 minus 9/2 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.

    3/4-9/2 equals to
    3/4 - 9/2 = (?)
    3/4 - 9/2 = [(3 x 2) - (9 x 4)]/(4 x 2)
    = (6 - 36)/8
    = -30/8
    = (2 x -15)/(2 x 4)
    = -15/4
    3/4 - 9/2 = -15/4
    3/4 minus 9/2 is equal to -15/4

    where
    3/4 is a fraction as a minuend,
    9/2 is a fraction as a subtrahend,
    -15/4 is the difference between 3/4 and 9/2.

    3/4 minus 9/2 as a decimal
    3/4 - 9/2 = -15/4
    -15/4 = -3.75
    3/4-9/2 as a decimal is -3.75
    where
    -3.75 is the difference between 3/4 and 9/2.

    For values other than 3/4 minus 9/2, use this below tool:

    How-to: 3/4 - 9/2 = ?

    The below workout with step by step calculation shows how to find what is 3/4 minus 9/2 in simplest form by using the following methods:
    1. LCM method,
    2. Cross multiplication method.

    Problem and Workout - LCM Method:
    What is 3/4 minus 9/2 as a fraction?

    step 1 Observe the input parameters and what to be found:
    Input:
    Fraction A: 3/4
    Fraction B: 9/2

    What to be found?
    3/4-9/2 = ?
    Find what's the difference between 3/4 and 9/2.


    step 2 Compare the denominators of fractions 3/4 and 9/2 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 3/4 and 9/2 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 3/4 and 9/2:
    The LCM of 4 and 2 is 4.


    step 4 Write the fractions 3/4 and 9/2 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
    =3/4-9/2
    =(3 x 4)/(4 x 4)-(9 x 4)/(2 x 4)


    step 5 Simplify the expression to have common denominator:
    =3/4-18/4


    step 6 Take the common values out and rewrite the above expression like the below:
    =1/4 x (3/1-18/1)
    =1/4 x (3 - 18)


    step 7Simplify the above expression further:
    =1/4 x -15
    =-15/4
    3/4-9/2=-15/4

    Hence,
    3/4 minus 9/2 equals to -15/4 in fraction.



    Problem and Workout - Cross Multiplication Method
    step 1 Observe the input parameters and what to be found:
    Input:
    Fraction A: 3/4
    Fraction B: 9/2

    What to be found?
    3/4-9/2 = ?
    Find what's the difference between 3/4 and 9/2.

    step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 2), find the product of numerator of Fraction B and denominator of Fraction A (9 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 2) and rewrite the equation as like the below:
    = (3 x 2) - (9 x 4)/(4 x 2)

    step 3 Simplify and rewrite the fraction:
    = (6 - 36)/8
    = -30/8
    = -15/4
    3/4-9/2 = -15/4
    Hence,
    3/4 minus 9/2 = -15/4

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