9/1 + 11/3 as a fraction

Learn how to find what is 9/1 plus 11/3 in fraction form just in a few minutes. We have covered the easiest method to write 9/1 + 11/3 as a fraction and decimal.

Summary: 9/1 plus 11/3 = 38/3
Since both fractions have unequal denominators, 9/1 plus 11/3 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 9/1 and fraction 11/3 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 1 and 3. 3 is the LCM of 1 and 3. Multiplying the LCM 3 with the numerators and denominators of both fractions (9/1 x 3/3) + (11/3 x 3/3), and simplify further in order to have the common denominator. So the equivalent fraction for 9/1 is 27/3 and for 11/3 is 11/3. By simplifying this fraction addition 27/3 + 11/3, it becomes 38/3.

CALCULATION: 9/1 + 11/3 as a fraction
9/1 + 11/3 = (?)
9/1 + 11/3 = [(9 x 3) + (11 x 1)]/(1 x 3)
= (27 + 11)/3
= 38/3
9/1 + 11/3 = 38/3
9/1 plus 11/3 as a fraction is 38/3.

where
9/1 is a improper fraction as an addend,
11/3 is a improper fraction as an addend,
38/3 is the sum of 9/1 and 11/3.

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9/1 plus 11/3 as a decimal
9/1 + 11/3 = 38/3
38/3 = 12.6667
(9/1) + (11/3) as a decimal is 12.6667

where
12.6667 is the sum of 9/1 and 11/3.

The below workout with step by step calculation shows how to find the equivalent fraction between 9/1 and 11/3 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 9/1 plus 11/3 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(9/1) + (11/3) using LCM Method:
What is 9/1 plus 11/3 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/1
Fraction B: 11/3

What to be found?
(9/1) + (11/3) = ?
Find what's the sum of 9/1 and 11/3.

step 2 Compare the denominators of fractions 9/1 and 11/3 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 9/1 and 11/3 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 9/1 and 11/3:
The LCM of 1 and 3 is 3.

step 4 Write the fractions 9/1 and 11/3 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 9/1 + 11/3
= [(9 x 3)/(1 x 3)] + [(11 x 3)/(3 x 3)]

step 5 Simplify the expression to have common denominator:
= 27/3 + 11/3

step 6 Take the common values out and rewrite the above expression like the below:
= 1/3 x (27/1 + 11/1)
= 1/3 x (27 + 11)

step 7Simplify the above expression further:
= 1/3 x 38
= 38/3
9/1 + 11/3 = 38/3

Hence,
9/1 plus 11/3 as a fraction is 38/3.

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9/1 + 11/3 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/1
Fraction B: 11/3

What to be found?
(9/1)+(11/3) = ?
Find what's the sum of 9/1 and 11/3.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (9 x 3), find the product of numerator of Fraction B and denominator of Fraction A (11 x 1), and find the product of both denominators of Fraction A and Fraction B (1 x 3) and rewrite the equation as like the below:
= (9 x 3) + (11 x 1)/(1 x 3)

step 3 Simplify and rewrite the fraction:
= (27 + 11)/3
9/1 + 11/3 = 38/3

Hence,
9/1 plus 11/3 in fraction is 38/3