What is 1/2 plus 1/9 in fraction?
1/2 plus 1/9 equals to 11/18 in fraction form.
1/2 + 1/9 in fraction form
Learn how to find what is 1/2 plus 1/9 in fraction form just in a few minutes. We have covered the easiest method to write 1/2 + 1/9 as a fraction and decimal.
Summary: 1/2 plus 1/9
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 1/2 and 1/9 having identical denominators before starting adding the fractions. Find the LCM of denominators, 18 is the LCM of 2 and 9. Multiply the LCM 18 with all the numerators and denominators of both fractions (1/2 x 18/18) + (1/9 x 18/18) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 11/18.
1/2+1/9 as a fraction
1/2 + 1/9 = (?)
1/2 + 1/9 = [(1 x 9) + (1 x 2)]/(2 x 9)
= (9 + 2)/18
= 11/18
1/2 + 1/9 = 11/18
1/2 plus 1/9 as a fraction is 11/18.
where
1/2 is a fraction as an addend,
1/9 is a fraction as an addend,
11/18 is the sum of 1/2 and 1/9.
1/2 plus 1/9 as a decimal
1/2 + 1/9 = 11/18
11/18 = 0.6111
1/2+1/9 as a decimal is 0.6111
where
0.6111 is the sum of 1/2 and 1/9.
How to find 1/2+1/9 as a fraction?
The below workout with step by step calculation shows how to find the equivalent fraction between 1/2 and 1/9 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/2 plus 1/9 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
1/2+1/9 using LCM Method:
What is 1/2 plus 1/9 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/2
Fraction B: 1/9
What to be found?
1/2+1/9 = ?
Find what's the sum of 1/2 and 1/9.
step 2 Compare the denominators of fractions 1/2 and 1/9 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/2 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 1/2 and 1/9:
The LCM of 2 and 9 is 18.
step 4 Write the fractions 1/2 and 1/9 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=1/2+1/9
=(1 x 18)/(2 x 18)+(1 x 18)/(9 x 18)
step 5 Simplify the expression to have common denominator:
=9/18+2/18
step 6 Take the common values out and rewrite the above expression like the below:
=1/18 x (9/1+2/1)
=1/18 x (9 + 2)
step 7Simplify the above expression further:
=1/18 x 11
=11/18
1/2+1/9=11/18
Hence,
1/2 plus 1/9 equals to 11/18 in fraction.
1/2+1/9 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/2
Fraction B: 1/9
What to be found?
1/2+1/9 = ?
Find what's the sum of 1/2 and 1/9.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 9), find the product of numerator of Fraction B and denominator of Fraction A (1 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 9) and rewrite the equation as like the below:
= (1 x 9) + (1 x 2)/(2 x 9)
step 3 Simplify and rewrite the fraction:
= (9 + 2)/18
1/2+1/9 = 11/18
Hence,
1/2 plus 1/9 = 11/18