Calculators & Converters

    9/4 plus 4 as a fraction

    Fraction Addition Calculator

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

    9/4+4 equals to
    9/4 + 4 = (?)
    9/4 + 4/1 = [(9 x 1) + (4 x 4)]/(4 x 1)
    = (9 + 16)/4
    = 25/4
    9/4 + 4 = 25/4
    9/4 plus 4 is equal to 25/4

    where
    9/4 is a fraction as an addend,
    4 is a fraction as an addend,
    25/4 is the sum of 9/4 and 4.

    9/4 plus 4 as a decimal
    9/4 + 4 = 25/4
    25/4 = 6.25
    9/4+4 as a decimal is 6.25
    where
    6.25 is the sum of 9/4 and 4.

    For values other than 9/4 plus 4, use this below tool:

    How-to: 9/4 + 4 = ?

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

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

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

    What to be found?
    9/4+4 = ?
    Find what's the sum of 9/4 and 4.


    step 2 Compare the denominators of fractions 9/4 and 4 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 9/4 and 4 are not equal, it is said to be unlike fractions addition.

    step 3For unlike fractions addition, find the LCM (least common multiple) of both denominators of fractions 9/4 and 4:
    The LCM of 4 and 1 is 4.


    step 4 Write the fractions 9/4 and 4 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
    =9/4+4
    =(9 x 4)/(4 x 4)+(4 x 4)/(1 x 4)


    step 5 Simplify the expression to have common denominator:
    =9/4+16/4


    step 6 Take the common values out and rewrite the above expression like the below:
    =1/4 x (9/1+16/1)
    =1/4 x (9 + 16)


    step 7Simplify the above expression further:
    =1/4 x 25
    =25/4
    9/4+4=25/4

    Hence,
    9/4 plus 4 equals to 25/4 in fraction.



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

    What to be found?
    9/4+4 = ?
    Find what's the sum of 9/4 and 4.

    step 2 Find the product of numerator of Fraction A and denominator of Fraction B (9 x 1), find the product of numerator of Fraction B and denominator of Fraction A (4 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 1) and rewrite the equation as like the below:
    = (9 x 1) + (4 x 4)/(4 x 1)

    step 3 Simplify and rewrite the fraction:
    = (9 + 16)/4
    9/4+4 = 25/4
    Hence,
    9/4 plus 4 = 25/4

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