What is 1/2 plus 2/9 in fraction?
1/2 plus 2/9 equals to 13/18 in fraction form.
1/2 + 2/9 in fraction form
Learn how to find what is 1/2 plus 2/9 in fraction form just in a few minutes. We have covered the easiest method to write 1/2 + 2/9 as a fraction and decimal.
Summary: 1/2 plus 2/9
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 1/2 and 2/9 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) + (2/9 x 18/18) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 13/18.
1/2+2/9 as a fraction
1/2 + 2/9 = (?)
1/2 + 2/9 = [(1 x 9) + (2 x 2)]/(2 x 9)
= (9 + 4)/18
= 13/18
1/2 + 2/9 = 13/18
1/2 plus 2/9 as a fraction is 13/18.
where
1/2 is a fraction as an addend,
2/9 is a fraction as an addend,
13/18 is the sum of 1/2 and 2/9.
1/2 plus 2/9 as a decimal
1/2 + 2/9 = 13/18
13/18 = 0.7222
1/2+2/9 as a decimal is 0.7222
where
0.7222 is the sum of 1/2 and 2/9.
How to find 1/2+2/9 as a fraction?
The below workout with step by step calculation shows how to find the equivalent fraction between 1/2 and 2/9 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/2 plus 2/9 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
1/2+2/9 using LCM Method:
What is 1/2 plus 2/9 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/2
Fraction B: 2/9
What to be found?
1/2+2/9 = ?
Find what's the sum of 1/2 and 2/9.
step 2 Compare the denominators of fractions 1/2 and 2/9 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/2 and 2/9 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 2/9:
The LCM of 2 and 9 is 18.
step 4 Write the fractions 1/2 and 2/9 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=1/2+2/9
=(1 x 18)/(2 x 18)+(2 x 18)/(9 x 18)
step 5 Simplify the expression to have common denominator:
=9/18+4/18
step 6 Take the common values out and rewrite the above expression like the below:
=1/18 x (9/1+4/1)
=1/18 x (9 + 4)
step 7Simplify the above expression further:
=1/18 x 13
=13/18
1/2+2/9=13/18
Hence,
1/2 plus 2/9 equals to 13/18 in fraction.
1/2+2/9 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/2
Fraction B: 2/9
What to be found?
1/2+2/9 = ?
Find what's the sum of 1/2 and 2/9.
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 (2 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) + (2 x 2)/(2 x 9)
step 3 Simplify and rewrite the fraction:
= (9 + 4)/18
1/2+2/9 = 13/18
Hence,
1/2 plus 2/9 = 13/18