2/1 + 8/19 as a fraction

Learn how to find what is 2/1 plus 8/19 in fraction form just in a few minutes. We have covered the easiest method to write 2/1 + 8/19 as a fraction and decimal.

Summary: 2/1 plus 8/19 = 46/19
Since both fractions have unequal denominators, 2/1 plus 8/19 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/1 and fraction 8/19 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 1 and 19. 19 is the LCM of 1 and 19. Multiplying the LCM 19 with the numerators and denominators of both fractions (2/1 x 19/19) + (8/19 x 19/19), and simplify further in order to have the common denominator. So the equivalent fraction for 2/1 is 38/19 and for 8/19 is 8/19. By simplifying this fraction addition 38/19 + 8/19, it becomes 46/19.

CALCULATION: 2/1 + 8/19 as a fraction
2/1 + 8/19 = (?)
2/1 + 8/19 = [(2 x 19) + (8 x 1)]/(1 x 19)
= (38 + 8)/19
= 46/19
2/1 + 8/19 = 46/19
2/1 plus 8/19 as a fraction is 46/19.

where
2/1 is a improper fraction as an addend,
8/19 is a proper fraction as an addend,
46/19 is the sum of 2/1 and 8/19.

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2/1 plus 8/19 as a decimal
2/1 + 8/19 = 46/19
46/19 = 2.4211
(2/1) + (8/19) as a decimal is 2.4211

where
2.4211 is the sum of 2/1 and 8/19.

The below workout with step by step calculation shows how to find the equivalent fraction between 2/1 and 8/19 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/1 plus 8/19 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(2/1) + (8/19) using LCM Method:
What is 2/1 plus 8/19 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/1
Fraction B: 8/19

What to be found?
(2/1) + (8/19) = ?
Find what's the sum of 2/1 and 8/19.

step 2 Compare the denominators of fractions 2/1 and 8/19 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/1 and 8/19 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 2/1 and 8/19:
The LCM of 1 and 19 is 19.

step 4 Write the fractions 2/1 and 8/19 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/1 + 8/19
= [(2 x 19)/(1 x 19)] + [(8 x 19)/(19 x 19)]

step 5 Simplify the expression to have common denominator:
= 38/19 + 8/19

step 6 Take the common values out and rewrite the above expression like the below:
= 1/19 x (38/1 + 8/1)
= 1/19 x (38 + 8)

step 7Simplify the above expression further:
= 1/19 x 46
= 46/19
2/1 + 8/19 = 46/19

Hence,
2/1 plus 8/19 as a fraction is 46/19.

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2/1 + 8/19 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/1
Fraction B: 8/19

What to be found?
(2/1)+(8/19) = ?
Find what's the sum of 2/1 and 8/19.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 19), find the product of numerator of Fraction B and denominator of Fraction A (8 x 1), and find the product of both denominators of Fraction A and Fraction B (1 x 19) and rewrite the equation as like the below:
= (2 x 19) + (8 x 1)/(1 x 19)

step 3 Simplify and rewrite the fraction:
= (38 + 8)/19
2/1 + 8/19 = 46/19

Hence,
2/1 plus 8/19 in fraction is 46/19