What is 2/3 plus 6/11 in fraction?
2/3 plus 6/11 equals to 40/33 in fraction form.
2/3 + 6/11 in fraction form
Learn how to find what is 2/3 plus 6/11 in fraction form just in a few minutes. We have covered the easiest method to write 2/3 + 6/11 as a fraction and decimal.
Summary: 2/3 plus 6/11
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 2/3 and 6/11 having identical denominators before starting adding the fractions. Find the LCM of denominators, 33 is the LCM of 3 and 11. Multiply the LCM 33 with all the numerators and denominators of both fractions (2/3 x 33/33) + (6/11 x 33/33) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 40/33.
2/3+6/11 as a fraction
2/3 + 6/11 = (?)
2/3 + 6/11 = [(2 x 11) + (6 x 3)]/(3 x 11)
= (22 + 18)/33
= 40/33
2/3 + 6/11 = 40/33
2/3 plus 6/11 as a fraction is 40/33.
where
2/3 is a fraction as an addend,
6/11 is a fraction as an addend,
40/33 is the sum of 2/3 and 6/11.
2/3 plus 6/11 as a decimal
2/3 + 6/11 = 40/33
40/33 = 1.2121
2/3+6/11 as a decimal is 1.2121
where
1.2121 is the sum of 2/3 and 6/11.
How to find 2/3+6/11 as a fraction?
The below workout with step by step calculation shows how to find the equivalent fraction between 2/3 and 6/11 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/3 plus 6/11 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
2/3+6/11 using LCM Method:
What is 2/3 plus 6/11 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/3
Fraction B: 6/11
What to be found?
2/3+6/11 = ?
Find what's the sum of 2/3 and 6/11.
step 2 Compare the denominators of fractions 2/3 and 6/11 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/3 and 6/11 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 6/11:
The LCM of 3 and 11 is 33.
step 4 Write the fractions 2/3 and 6/11 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=2/3+6/11
=(2 x 33)/(3 x 33)+(6 x 33)/(11 x 33)
step 5 Simplify the expression to have common denominator:
=22/33+18/33
step 6 Take the common values out and rewrite the above expression like the below:
=1/33 x (22/1+18/1)
=1/33 x (22 + 18)
step 7Simplify the above expression further:
=1/33 x 40
=40/33
2/3+6/11=40/33
Hence,
2/3 plus 6/11 equals to 40/33 in fraction.
2/3+6/11 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/3
Fraction B: 6/11
What to be found?
2/3+6/11 = ?
Find what's the sum of 2/3 and 6/11.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 11), find the product of numerator of Fraction B and denominator of Fraction A (6 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 11) and rewrite the equation as like the below:
= (2 x 11) + (6 x 3)/(3 x 11)
step 3 Simplify and rewrite the fraction:
= (22 + 18)/33
2/3+6/11 = 40/33
Hence,
2/3 plus 6/11 = 40/33