10/9 + 1/2 as a fraction

Learn how to find what is 10/9 plus 1/2 in fraction form just in a few minutes. We have covered the easiest method to write 10/9 + 1/2 as a fraction and decimal.

Summary: 10/9 plus 1/2 = 29/18
Since both fractions have unequal denominators, 10/9 plus 1/2 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 10/9 and fraction 1/2 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 2. 18 is the LCM of 9 and 2. Multiplying the LCM 18 with the numerators and denominators of both fractions (10/9 x 18/18) + (1/2 x 18/18), and simplify further in order to have the common denominator. So the equivalent fraction for 10/9 is 20/18 and for 1/2 is 9/18. By simplifying this fraction addition 20/18 + 9/18, it becomes 29/18.

CALCULATION: 10/9 + 1/2 as a fraction
10/9 + 1/2 = (?)
10/9 + 1/2 = [(10 x 2) + (1 x 9)]/(9 x 2)
= (20 + 9)/18
= 29/18
10/9 + 1/2 = 29/18
10/9 plus 1/2 as a fraction is 29/18.

where
10/9 is a improper fraction as an addend,
1/2 is a proper fraction as an addend,
29/18 is the sum of 10/9 and 1/2.

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10/9 plus 1/2 as a decimal
10/9 + 1/2 = 29/18
29/18 = 1.6111
(10/9) + (1/2) as a decimal is 1.6111

where
1.6111 is the sum of 10/9 and 1/2.

The below workout with step by step calculation shows how to find the equivalent fraction between 10/9 and 1/2 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 10/9 plus 1/2 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(10/9) + (1/2) using LCM Method:
What is 10/9 plus 1/2 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 10/9
Fraction B: 1/2

What to be found?
(10/9) + (1/2) = ?
Find what's the sum of 10/9 and 1/2.

step 2 Compare the denominators of fractions 10/9 and 1/2 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 10/9 and 1/2 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 10/9 and 1/2:
The LCM of 9 and 2 is 18.

step 4 Write the fractions 10/9 and 1/2 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 10/9 + 1/2
= [(10 x 18)/(9 x 18)] + [(1 x 18)/(2 x 18)]

step 5 Simplify the expression to have common denominator:
= 20/18 + 9/18

step 6 Take the common values out and rewrite the above expression like the below:
= 1/18 x (20/1 + 9/1)
= 1/18 x (20 + 9)

step 7Simplify the above expression further:
= 1/18 x 29
= 29/18
10/9 + 1/2 = 29/18

Hence,
10/9 plus 1/2 as a fraction is 29/18.

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10/9 + 1/2 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 10/9
Fraction B: 1/2

What to be found?
(10/9)+(1/2) = ?
Find what's the sum of 10/9 and 1/2.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (10 x 2), find the product of numerator of Fraction B and denominator of Fraction A (1 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 2) and rewrite the equation as like the below:
= (10 x 2) + (1 x 9)/(9 x 2)

step 3 Simplify and rewrite the fraction:
= (20 + 9)/18
10/9 + 1/2 = 29/18

Hence,
10/9 plus 1/2 in fraction is 29/18