2/1 + 1/9 as a fraction

Learn how to find what is 2/1 plus 1/9 in fraction form just in a few minutes. We have covered the easiest method to write 2/1 + 1/9 as a fraction and decimal.

Summary: 2/1 plus 1/9 = 19/9
Since both fractions have unequal denominators, 2/1 plus 1/9 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/1 and fraction 1/9 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 1 and 9. 9 is the LCM of 1 and 9. Multiplying the LCM 9 with the numerators and denominators of both fractions (2/1 x 9/9) + (1/9 x 9/9), and simplify further in order to have the common denominator. So the equivalent fraction for 2/1 is 18/9 and for 1/9 is 1/9. By simplifying this fraction addition 18/9 + 1/9, it becomes 19/9.

CALCULATION: 2/1 + 1/9 as a fraction
2/1 + 1/9 = (?)
2/1 + 1/9 = [(2 x 9) + (1 x 1)]/(1 x 9)
= (18 + 1)/9
= 19/9
2/1 + 1/9 = 19/9
2/1 plus 1/9 as a fraction is 19/9.

where
2/1 is a improper fraction as an addend,
1/9 is a proper fraction as an addend,
19/9 is the sum of 2/1 and 1/9.

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2/1 plus 1/9 as a decimal
2/1 + 1/9 = 19/9
19/9 = 2.1111
(2/1) + (1/9) as a decimal is 2.1111

where
2.1111 is the sum of 2/1 and 1/9.

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

(2/1) + (1/9) using LCM Method:
What is 2/1 plus 1/9 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/1
Fraction B: 1/9

What to be found?
(2/1) + (1/9) = ?
Find what's the sum of 2/1 and 1/9.

step 2 Compare the denominators of fractions 2/1 and 1/9 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/1 and 1/9 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 1/9:
The LCM of 1 and 9 is 9.

step 4 Write the fractions 2/1 and 1/9 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/1 + 1/9
= [(2 x 9)/(1 x 9)] + [(1 x 9)/(9 x 9)]

step 5 Simplify the expression to have common denominator:
= 18/9 + 1/9

step 6 Take the common values out and rewrite the above expression like the below:
= 1/9 x (18/1 + 1/1)
= 1/9 x (18 + 1)

step 7Simplify the above expression further:
= 1/9 x 19
= 19/9
2/1 + 1/9 = 19/9

Hence,
2/1 plus 1/9 as a fraction is 19/9.

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2/1 + 1/9 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/1
Fraction B: 1/9

What to be found?
(2/1)+(1/9) = ?
Find what's the sum of 2/1 and 1/9.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 9), find the product of numerator of Fraction B and denominator of Fraction A (1 x 1), and find the product of both denominators of Fraction A and Fraction B (1 x 9) and rewrite the equation as like the below:
= (2 x 9) + (1 x 1)/(1 x 9)

step 3 Simplify and rewrite the fraction:
= (18 + 1)/9
2/1 + 1/9 = 19/9

Hence,
2/1 plus 1/9 in fraction is 19/9