What is 11/6 + 14 in fraction?
11/6 + 14 equals to 95/6 in fraction form.
Learn how to find what is 11/6 plus 14 in fraction form just in a few minutes. We have covered the easiest method to write 11/6 + 14 as a fraction and decimal.
Summary: 11/6 plus 14 = 95/6
Since both fractions have unequal denominators, 11/6 plus 14 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 11/6 and fraction 14 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 (11/6 x 6/6) + (14 x 6/6), and simplify further in order to have the common denominator. So the equivalent fraction for 11/6 is 11/6 and for 14 is 84/6. By simplifying this fraction addition 11/6 + 84/6, it becomes 95/6.
The below workout with step by step calculation shows how to find the equivalent fraction between 11/6 and 14 by adding fraction to a whole number . The sum in fraction form for 11/6 plus 14/1 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
(11/6) + (14) using LCM Method:
What is 11/6 plus 14 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/6
Fraction B: 14/1
What to be found?
(11/6) + (14) = ?
Find what's the sum of 11/6 and 14.
step 2 Compare the denominators of fractions 11/6 and 14 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 11/6 and 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 11/6 and 14:
The LCM of 6 and 1 is 6.
step 4 Write the fractions 11/6 and 14 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 11/6 + 14
= [(11 x 6)/(6 x 6)] + [(14 x 6)/(1 x 6)]
step 5 Simplify the expression to have common denominator:
= 11/6 + 84/6
step 6 Take the common values out and rewrite the above expression like the below:
= 1/6 x (11/1 + 84/1)
= 1/6 x (11 + 84)
step 7Simplify the above expression further:
= 1/6 x 95
= 95/6
11/6 + 14 = 95/6
Hence,
11/6 plus 14 as a fraction is 95/6.
11/6 + 14 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/6
Fraction B: 14/1
What to be found?
(11/6)+(14) = ?
Find what's the sum of 11/6 and 14.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (11 x 1), find the product of numerator of Fraction B and denominator of Fraction A (14 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:
= (11 x 1) + (14 x 6)/(6 x 1)
step 3 Simplify and rewrite the fraction:
= (11 + 84)/6
11/6 + 14 = 95/6
Hence,
11/6 plus 14 in fraction is 95/6