What is 11/19 + 12 in fraction?
11/19 + 12 equals to 239/19 in fraction form.
Learn how to find what is 11/19 plus 12 in fraction form just in a few minutes. We have covered the easiest method to write 11/19 + 12 as a fraction and decimal.
Summary: 11/19 plus 12 = 239/19
Since both fractions have unequal denominators, 11/19 plus 12 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 11/19 and fraction 12 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 19 and 1. 19 is the LCM of 19 and 1. Multiplying the LCM 19 with the numerators and denominators of both fractions (11/19 x 19/19) + (12 x 19/19), and simplify further in order to have the common denominator. So the equivalent fraction for 11/19 is 11/19 and for 12 is 228/19. By simplifying this fraction addition 11/19 + 228/19, it becomes 239/19.
The below workout with step by step calculation shows how to find the equivalent fraction between 11/19 and 12 by adding fraction to a whole number . The sum in fraction form for 11/19 plus 12/1 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
(11/19) + (12) using LCM Method:
What is 11/19 plus 12 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/19
Fraction B: 12/1
What to be found?
(11/19) + (12) = ?
Find what's the sum of 11/19 and 12.
step 2 Compare the denominators of fractions 11/19 and 12 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 11/19 and 12 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 11/19 and 12:
The LCM of 19 and 1 is 19.
step 4 Write the fractions 11/19 and 12 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 11/19 + 12
= [(11 x 19)/(19 x 19)] + [(12 x 19)/(1 x 19)]
step 5 Simplify the expression to have common denominator:
= 11/19 + 228/19
step 6 Take the common values out and rewrite the above expression like the below:
= 1/19 x (11/1 + 228/1)
= 1/19 x (11 + 228)
step 7Simplify the above expression further:
= 1/19 x 239
= 239/19
11/19 + 12 = 239/19
Hence,
11/19 plus 12 as a fraction is 239/19.
11/19 + 12 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/19
Fraction B: 12/1
What to be found?
(11/19)+(12) = ?
Find what's the sum of 11/19 and 12.
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 (12 x 19), and find the product of both denominators of Fraction A and Fraction B (19 x 1) and rewrite the equation as like the below:
= (11 x 1) + (12 x 19)/(19 x 1)
step 3 Simplify and rewrite the fraction:
= (11 + 228)/19
11/19 + 12 = 239/19
Hence,
11/19 plus 12 in fraction is 239/19