What is 2/3 plus 5/9 in fraction?
2/3 plus 5/9 equals to 11/9 in fraction form.
Learn how to find what is 2/3 plus 5/9 in fraction form just in a few minutes. We have covered the easiest method to write 2/3 + 5/9 as a fraction and decimal.
Summary: 2/3 plus 5/9
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 2/3 and 5/9 having identical denominators before starting adding the fractions. Find the LCM of denominators, 9 is the LCM of 3 and 9. Multiply the LCM 9 with all the numerators and denominators of both fractions (2/3 x 9/9) + (5/9 x 9/9) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 11/9.
The below workout with step by step calculation shows how to find the equivalent fraction between 2/3 and 5/9 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/3 plus 5/9 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
2/3+5/9 using LCM Method:
What is 2/3 plus 5/9 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/3
Fraction B: 5/9
What to be found?
2/3+5/9 = ?
Find what's the sum of 2/3 and 5/9.
step 2 Compare the denominators of fractions 2/3 and 5/9 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/3 and 5/9 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 2/3 and 5/9:
The LCM of 3 and 9 is 9.
step 4 Write the fractions 2/3 and 5/9 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=2/3+5/9
=(2 x 9)/(3 x 9)+(5 x 9)/(9 x 9)
step 5 Simplify the expression to have common denominator:
=6/9+5/9
step 6 Take the common values out and rewrite the above expression like the below:
=1/9 x (6/1+5/1)
=1/9 x (6 + 5)
step 7Simplify the above expression further:
=1/9 x 11
=11/9
2/3+5/9=11/9
Hence,
2/3 plus 5/9 equals to 11/9 in fraction.
2/3+5/9 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/3
Fraction B: 5/9
What to be found?
2/3+5/9 = ?
Find what's the sum of 2/3 and 5/9.
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 (5 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 9) and rewrite the equation as like the below:
= (2 x 9) + (5 x 3)/(3 x 9)
step 3 Simplify and rewrite the fraction:
= (18 + 15)/27
= 33/27
= 11/9
2/3+5/9 = 11/9
Hence,
2/3 plus 5/9 = 11/9