11/3 + 9/14 as a fraction

Learn how to find what is 11/3 plus 9/14 in fraction form just in a few minutes. We have covered the easiest method to write 11/3 + 9/14 as a fraction and decimal.

Summary: 11/3 plus 9/14 = 181/42
Since both fractions have unequal denominators, 11/3 plus 9/14 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 11/3 and fraction 9/14 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 14. 42 is the LCM of 3 and 14. Multiplying the LCM 42 with the numerators and denominators of both fractions (11/3 x 42/42) + (9/14 x 42/42), and simplify further in order to have the common denominator. So the equivalent fraction for 11/3 is 154/42 and for 9/14 is 27/42. By simplifying this fraction addition 154/42 + 27/42, it becomes 181/42.

CALCULATION: 11/3 + 9/14 as a fraction
11/3 + 9/14 = (?)
11/3 + 9/14 = [(11 x 14) + (9 x 3)]/(3 x 14)
= (154 + 27)/42
= 181/42
11/3 + 9/14 = 181/42
11/3 plus 9/14 as a fraction is 181/42.

where
11/3 is a improper fraction as an addend,
9/14 is a proper fraction as an addend,
181/42 is the sum of 11/3 and 9/14.

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11/3 plus 9/14 as a decimal
11/3 + 9/14 = 181/42
181/42 = 4.3095
(11/3) + (9/14) as a decimal is 4.3095

where
4.3095 is the sum of 11/3 and 9/14.

The below workout with step by step calculation shows how to find the equivalent fraction between 11/3 and 9/14 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 11/3 plus 9/14 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(11/3) + (9/14) using LCM Method:
What is 11/3 plus 9/14 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/3
Fraction B: 9/14

What to be found?
(11/3) + (9/14) = ?
Find what's the sum of 11/3 and 9/14.

step 2 Compare the denominators of fractions 11/3 and 9/14 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 11/3 and 9/14 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 11/3 and 9/14:
The LCM of 3 and 14 is 42.

step 4 Write the fractions 11/3 and 9/14 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 11/3 + 9/14
= [(11 x 42)/(3 x 42)] + [(9 x 42)/(14 x 42)]

step 5 Simplify the expression to have common denominator:
= 154/42 + 27/42

step 6 Take the common values out and rewrite the above expression like the below:
= 1/42 x (154/1 + 27/1)
= 1/42 x (154 + 27)

step 7Simplify the above expression further:
= 1/42 x 181
= 181/42
11/3 + 9/14 = 181/42

Hence,
11/3 plus 9/14 as a fraction is 181/42.

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11/3 + 9/14 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/3
Fraction B: 9/14

What to be found?
(11/3)+(9/14) = ?
Find what's the sum of 11/3 and 9/14.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (11 x 14), find the product of numerator of Fraction B and denominator of Fraction A (9 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 14) and rewrite the equation as like the below:
= (11 x 14) + (9 x 3)/(3 x 14)

step 3 Simplify and rewrite the fraction:
= (154 + 27)/42
11/3 + 9/14 = 181/42

Hence,
11/3 plus 9/14 in fraction is 181/42