18/7 + 3 as a fraction

Learn how to find what is 18/7 plus 3 in fraction form just in a few minutes. We have covered the easiest method to write 18/7 + 3 as a fraction and decimal.

Summary: 18/7 plus 3 = 39/7
Since both fractions have unequal denominators, 18/7 plus 3 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 18/7 and fraction 3 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 1. 7 is the LCM of 7 and 1. Multiplying the LCM 7 with the numerators and denominators of both fractions (18/7 x 7/7) + (3 x 7/7), and simplify further in order to have the common denominator. So the equivalent fraction for 18/7 is 18/7 and for 3 is 21/7. By simplifying this fraction addition 18/7 + 21/7, it becomes 39/7.

CALCULATION: 18/7 + 3 as a fraction
18/7 + 3 = (?)
18/7 + 3/1 = [(18 x 1) + (3 x 7)]/(7 x 1)
= (18 + 21)/7
= 39/7
18/7 + 3 = 39/7
18/7 plus 3 as a fraction is 39/7.

where
18/7 is a improper fraction as an addend,
3 is a whole number as an addend,
39/7 is the sum of 18/7 and 3.

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18/7 plus 3 as a decimal
18/7 + 3 = 39/7
39/7 = 5.5714
(18/7) + (3) as a decimal is 5.5714

where
5.5714 is the sum of 18/7 and 3.

The below workout with step by step calculation shows how to find the equivalent fraction between 18/7 and 3 by adding fraction to a whole number . The sum in fraction form for 18/7 plus 3/1 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(18/7) + (3) using LCM Method:
What is 18/7 plus 3 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 18/7
Fraction B: 3/1

What to be found?
(18/7) + (3) = ?
Find what's the sum of 18/7 and 3.

step 2 Compare the denominators of fractions 18/7 and 3 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 18/7 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 18/7 and 3:
The LCM of 7 and 1 is 7.

step 4 Write the fractions 18/7 and 3 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 18/7 + 3
= [(18 x 7)/(7 x 7)] + [(3 x 7)/(1 x 7)]

step 5 Simplify the expression to have common denominator:
= 18/7 + 21/7

step 6 Take the common values out and rewrite the above expression like the below:
= 1/7 x (18/1 + 21/1)
= 1/7 x (18 + 21)

step 7Simplify the above expression further:
= 1/7 x 39
= 39/7
18/7 + 3 = 39/7

Hence,
18/7 plus 3 as a fraction is 39/7.

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18/7 + 3 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 18/7
Fraction B: 3/1

What to be found?
(18/7)+(3) = ?
Find what's the sum of 18/7 and 3.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (18 x 1), find the product of numerator of Fraction B and denominator of Fraction A (3 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 1) and rewrite the equation as like the below:
= (18 x 1) + (3 x 7)/(7 x 1)

step 3 Simplify and rewrite the fraction:
= (18 + 21)/7
18/7 + 3 = 39/7

Hence,
18/7 plus 3 in fraction is 39/7