Calculators & Converters

    3/2 plus 1/6 as a fraction

    Fraction Addition Calculator

    3/2 + 1/6 as a fraction provides the detailed information about what is 3/2 plus 1/6 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.

    3/2+1/6 equals to
    3/2 + 1/6 = (?)
    3/2 + 1/6 = [(3 x 6) + (1 x 2)]/(2 x 6)
    = (18 + 2)/12
    = 20/12
    = (4 x 5)/(4 x 3)
    = 5/3
    3/2 + 1/6 = 5/3
    3/2 plus 1/6 is equal to 5/3

    where
    3/2 is a fraction as an addend,
    1/6 is a fraction as an addend,
    5/3 is the sum of 3/2 and 1/6.

    3/2 plus 1/6 as a decimal
    3/2 + 1/6 = 5/3
    5/3 = 1.6667
    3/2+1/6 as a decimal is 1.6667
    where
    1.6667 is the sum of 3/2 and 1/6.

    For values other than 3/2 plus 1/6, use this below tool:

    How-to: 3/2 + 1/6 = ?

    The below workout with step by step calculation shows how to find what is 3/2 plus 1/6 in simplest form by using the following methods:
    1. LCM method,
    2. Cross multiplication method.

    Problem and Workout - LCM Method:
    What is 3/2 plus 1/6 as a fraction?

    step 1 Observe the input parameters and what to be found:
    Input:
    Fraction A: 3/2
    Fraction B: 1/6

    What to be found?
    3/2+1/6 = ?
    Find what's the sum of 3/2 and 1/6.


    step 2 Compare the denominators of fractions 3/2 and 1/6 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 3/2 and 1/6 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 3/2 and 1/6:
    The LCM of 2 and 6 is 6.


    step 4 Write the fractions 3/2 and 1/6 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
    =3/2+1/6
    =(3 x 6)/(2 x 6)+(1 x 6)/(6 x 6)


    step 5 Simplify the expression to have common denominator:
    =9/6+1/6


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


    step 7Simplify the above expression further:
    =1/6 x 10
    = 10/6
    =5/3
    3/2+1/6=5/3

    Hence,
    3/2 plus 1/6 equals to 5/3 in fraction.



    Problem and Workout - Cross Multiplication Method
    step 1 Observe the input parameters and what to be found:
    Input:
    Fraction A: 3/2
    Fraction B: 1/6

    What to be found?
    3/2+1/6 = ?
    Find what's the sum of 3/2 and 1/6.

    step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 6), find the product of numerator of Fraction B and denominator of Fraction A (1 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 6) and rewrite the equation as like the below:
    = (3 x 6) + (1 x 2)/(2 x 6)

    step 3 Simplify and rewrite the fraction:
    = (18 + 2)/12
    = 20/12
    = 5/3
    3/2+1/6 = 5/3
    Hence,
    3/2 plus 1/6 = 5/3

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