What is 2/3 plus 8/18 in fraction?
2/3 plus 8/18 equals to 10/9 in fraction form.
2/3 + 8/18 in fraction form
Learn how to find what is 2/3 plus 8/18 in fraction form just in a few minutes. We have covered the easiest method to write 2/3 + 8/18 as a fraction and decimal.
Summary: 2/3 plus 8/18
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 2/3 and 8/18 having identical denominators before starting adding the fractions. Find the LCM of denominators, 18 is the LCM of 3 and 18. Multiply the LCM 18 with all the numerators and denominators of both fractions (2/3 x 18/18) + (8/18 x 18/18) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 20/18.
2/3+8/18 as a fraction
2/3 + 8/18 = (?)
2/3 + 8/18 = [(2 x 18) + (8 x 3)]/(3 x 18)
= (36 + 24)/54
= 60/54
= (6 x 10)/(6 x 9)
= 10/9
2/3 + 8/18 = 10/9
2/3 plus 8/18 as a fraction is 10/9.
where
2/3 is a fraction as an addend,
8/18 is a fraction as an addend,
10/9 is the sum of 2/3 and 8/18.
2/3 plus 8/18 as a decimal
2/3 + 8/18 = 10/9
10/9 = 1.1111
2/3+8/18 as a decimal is 1.1111
where
1.1111 is the sum of 2/3 and 8/18.
How to find 2/3+8/18 as a fraction?
The below workout with step by step calculation shows how to find the equivalent fraction between 2/3 and 8/18 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/3 plus 8/18 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
2/3+8/18 using LCM Method:
What is 2/3 plus 8/18 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/3
Fraction B: 8/18
What to be found?
2/3+8/18 = ?
Find what's the sum of 2/3 and 8/18.
step 2 Compare the denominators of fractions 2/3 and 8/18 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/3 and 8/18 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 8/18:
The LCM of 3 and 18 is 18.
step 4 Write the fractions 2/3 and 8/18 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=2/3+8/18
=(2 x 18)/(3 x 18)+(8 x 18)/(18 x 18)
step 5 Simplify the expression to have common denominator:
=12/18+8/18
step 6 Take the common values out and rewrite the above expression like the below:
=1/18 x (12/1+8/1)
=1/18 x (12 + 8)
step 7Simplify the above expression further:
=1/18 x 20
= 20/18
=10/9
2/3+8/18=10/9
Hence,
2/3 plus 8/18 equals to 10/9 in fraction.
2/3+8/18 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/3
Fraction B: 8/18
What to be found?
2/3+8/18 = ?
Find what's the sum of 2/3 and 8/18.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 18), find the product of numerator of Fraction B and denominator of Fraction A (8 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 18) and rewrite the equation as like the below:
= (2 x 18) + (8 x 3)/(3 x 18)
step 3 Simplify and rewrite the fraction:
= (36 + 24)/54
= 60/54
= 10/9
2/3+8/18 = 10/9
Hence,
2/3 plus 8/18 = 10/9