3/6 + 3 as a fraction

Learn how to find what is 3/6 plus 3 in fraction form just in a few minutes. We have covered the easiest method to write 3/6 + 3 as a fraction and decimal.

Summary: 3/6 plus 3 = 7/2
Since both fractions have unequal denominators, 3/6 plus 3 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 3/6 and fraction 3 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 1. 6 is the LCM of 6 and 1. Multiplying the LCM 6 with the numerators and denominators of both fractions (3/6 x 6/6) + (3 x 6/6), and simplify further in order to have the common denominator. So the equivalent fraction for 3/6 is 3/6 and for 3 is 18/6. By simplifying this fraction addition 3/6 + 18/6, it becomes 21/6.

CALCULATION: 3/6 + 3 as a fraction
3/6 + 3 = (?)
3/6 + 3/1 = [(3 x 1) + (3 x 6)]/(6 x 1)
= (3 + 18)/6
= 21/6
= (3 x 7)/(3 x 2)
= 7/2
3/6 + 3 = 7/2
3/6 plus 3 as a fraction is 7/2.

where
3/6 is a proper fraction as an addend,
3 is a whole number as an addend,
7/2 is the sum of 3/6 and 3.

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3/6 plus 3 as a decimal
3/6 + 3 = 7/2
7/2 = 3.5
(3/6) + (3) as a decimal is 3.5

where
3.5 is the sum of 3/6 and 3.

The below workout with step by step calculation shows how to find the equivalent fraction between 3/6 and 3 by adding fraction to a whole number . The sum in fraction form for 3/6 plus 3/1 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(3/6) + (3) using LCM Method:
What is 3/6 plus 3 as a fraction?

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

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

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

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

step 5 Simplify the expression to have common denominator:
= 3/6 + 18/6

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

step 7Simplify the above expression further:
= 1/6 x 21
= 21/6
= 7/2
3/6 + 3 = 7/2

Hence,
3/6 plus 3 as a fraction is 7/2.

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3/6 + 3 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/6
Fraction B: 3/1

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

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

step 3 Simplify and rewrite the fraction:
= (3 + 18)/6
= 21/6
= 7/2
3/6 + 3 = 7/2

Hence,
3/6 plus 3 in fraction is 7/2