Calculators & Converters

    1/9 plus 5 as a fraction

    Fraction Addition Calculator

    1/9 + 5 as a fraction provides the detailed information about what is 1/9 plus 5 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.

    1/9+5 equals to
    1/9 + 5 = (?)
    1/9 + 5/1 = [(1 x 1) + (5 x 9)]/(9 x 1)
    = (1 + 45)/9
    = 46/9
    1/9 + 5 = 46/9
    1/9 plus 5 is equal to 46/9

    where
    1/9 is a fraction as an addend,
    5 is a fraction as an addend,
    46/9 is the sum of 1/9 and 5.

    1/9 plus 5 as a decimal
    1/9 + 5 = 46/9
    46/9 = 5.1111
    1/9+5 as a decimal is 5.1111
    where
    5.1111 is the sum of 1/9 and 5.

    For values other than 1/9 plus 5, use this below tool:

    How-to: 1/9 + 5 = ?

    The below workout with step by step calculation shows how to find what is 1/9 plus 5 in simplest form by using the following methods:
    1. LCM method,
    2. Cross multiplication method.

    Problem and Workout - LCM Method:
    What is 1/9 plus 5 as a fraction?

    step 1 Observe the input parameters and what to be found:
    Input:
    Fraction A: 1/9
    Fraction B: 5/1

    What to be found?
    1/9+5 = ?
    Find what's the sum of 1/9 and 5.


    step 2 Compare the denominators of fractions 1/9 and 5 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/9 and 5 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 1/9 and 5:
    The LCM of 9 and 1 is 9.


    step 4 Write the fractions 1/9 and 5 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
    =1/9+5
    =(1 x 9)/(9 x 9)+(5 x 9)/(1 x 9)


    step 5 Simplify the expression to have common denominator:
    =1/9+45/9


    step 6 Take the common values out and rewrite the above expression like the below:
    =1/9 x (1/1+45/1)
    =1/9 x (1 + 45)


    step 7Simplify the above expression further:
    =1/9 x 46
    =46/9
    1/9+5=46/9

    Hence,
    1/9 plus 5 equals to 46/9 in fraction.



    Problem and Workout - Cross Multiplication Method
    step 1 Observe the input parameters and what to be found:
    Input:
    Fraction A: 1/9
    Fraction B: 5/1

    What to be found?
    1/9+5 = ?
    Find what's the sum of 1/9 and 5.

    step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 1), find the product of numerator of Fraction B and denominator of Fraction A (5 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 1) and rewrite the equation as like the below:
    = (1 x 1) + (5 x 9)/(9 x 1)

    step 3 Simplify and rewrite the fraction:
    = (1 + 45)/9
    1/9+5 = 46/9
    Hence,
    1/9 plus 5 = 46/9

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