12/7 + 1/19 as a fraction

Learn how to find what is 12/7 plus 1/19 in fraction form just in a few minutes. We have covered the easiest method to write 12/7 + 1/19 as a fraction and decimal.

Summary: 12/7 plus 1/19 = 235/133
Since both fractions have unequal denominators, 12/7 plus 1/19 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 12/7 and fraction 1/19 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 19. 133 is the LCM of 7 and 19. Multiplying the LCM 133 with the numerators and denominators of both fractions (12/7 x 133/133) + (1/19 x 133/133), and simplify further in order to have the common denominator. So the equivalent fraction for 12/7 is 228/133 and for 1/19 is 7/133. By simplifying this fraction addition 228/133 + 7/133, it becomes 235/133.

CALCULATION: 12/7 + 1/19 as a fraction
12/7 + 1/19 = (?)
12/7 + 1/19 = [(12 x 19) + (1 x 7)]/(7 x 19)
= (228 + 7)/133
= 235/133
12/7 + 1/19 = 235/133
12/7 plus 1/19 as a fraction is 235/133.

where
12/7 is a improper fraction as an addend,
1/19 is a proper fraction as an addend,
235/133 is the sum of 12/7 and 1/19.

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12/7 plus 1/19 as a decimal
12/7 + 1/19 = 235/133
235/133 = 1.7669
(12/7) + (1/19) as a decimal is 1.7669

where
1.7669 is the sum of 12/7 and 1/19.

The below workout with step by step calculation shows how to find the equivalent fraction between 12/7 and 1/19 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 12/7 plus 1/19 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(12/7) + (1/19) using LCM Method:
What is 12/7 plus 1/19 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 12/7
Fraction B: 1/19

What to be found?
(12/7) + (1/19) = ?
Find what's the sum of 12/7 and 1/19.

step 2 Compare the denominators of fractions 12/7 and 1/19 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 12/7 and 1/19 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 12/7 and 1/19:
The LCM of 7 and 19 is 133.

step 4 Write the fractions 12/7 and 1/19 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 12/7 + 1/19
= [(12 x 133)/(7 x 133)] + [(1 x 133)/(19 x 133)]

step 5 Simplify the expression to have common denominator:
= 228/133 + 7/133

step 6 Take the common values out and rewrite the above expression like the below:
= 1/133 x (228/1 + 7/1)
= 1/133 x (228 + 7)

step 7Simplify the above expression further:
= 1/133 x 235
= 235/133
12/7 + 1/19 = 235/133

Hence,
12/7 plus 1/19 as a fraction is 235/133.

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12/7 + 1/19 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 12/7
Fraction B: 1/19

What to be found?
(12/7)+(1/19) = ?
Find what's the sum of 12/7 and 1/19.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (12 x 19), find the product of numerator of Fraction B and denominator of Fraction A (1 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 19) and rewrite the equation as like the below:
= (12 x 19) + (1 x 7)/(7 x 19)

step 3 Simplify and rewrite the fraction:
= (228 + 7)/133
12/7 + 1/19 = 235/133

Hence,
12/7 plus 1/19 in fraction is 235/133