18/7 + 8/9 as a fraction

Learn how to find what is 18/7 plus 8/9 in fraction form just in a few minutes. We have covered the easiest method to write 18/7 + 8/9 as a fraction and decimal.

Summary: 18/7 plus 8/9 = 218/63
Since both fractions have unequal denominators, 18/7 plus 8/9 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 18/7 and fraction 8/9 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 9. 63 is the LCM of 7 and 9. Multiplying the LCM 63 with the numerators and denominators of both fractions (18/7 x 63/63) + (8/9 x 63/63), and simplify further in order to have the common denominator. So the equivalent fraction for 18/7 is 162/63 and for 8/9 is 56/63. By simplifying this fraction addition 162/63 + 56/63, it becomes 218/63.

CALCULATION: 18/7 + 8/9 as a fraction
18/7 + 8/9 = (?)
18/7 + 8/9 = [(18 x 9) + (8 x 7)]/(7 x 9)
= (162 + 56)/63
= 218/63
18/7 + 8/9 = 218/63
18/7 plus 8/9 as a fraction is 218/63.

where
18/7 is a improper fraction as an addend,
8/9 is a proper fraction as an addend,
218/63 is the sum of 18/7 and 8/9.

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18/7 plus 8/9 as a decimal
18/7 + 8/9 = 218/63
218/63 = 3.4603
(18/7) + (8/9) as a decimal is 3.4603

where
3.4603 is the sum of 18/7 and 8/9.

The below workout with step by step calculation shows how to find the equivalent fraction between 18/7 and 8/9 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 18/7 plus 8/9 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(18/7) + (8/9) using LCM Method:
What is 18/7 plus 8/9 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 18/7
Fraction B: 8/9

What to be found?
(18/7) + (8/9) = ?
Find what's the sum of 18/7 and 8/9.

step 2 Compare the denominators of fractions 18/7 and 8/9 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 18/7 and 8/9 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 18/7 and 8/9:
The LCM of 7 and 9 is 63.

step 4 Write the fractions 18/7 and 8/9 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 18/7 + 8/9
= [(18 x 63)/(7 x 63)] + [(8 x 63)/(9 x 63)]

step 5 Simplify the expression to have common denominator:
= 162/63 + 56/63

step 6 Take the common values out and rewrite the above expression like the below:
= 1/63 x (162/1 + 56/1)
= 1/63 x (162 + 56)

step 7Simplify the above expression further:
= 1/63 x 218
= 218/63
18/7 + 8/9 = 218/63

Hence,
18/7 plus 8/9 as a fraction is 218/63.

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18/7 + 8/9 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 18/7
Fraction B: 8/9

What to be found?
(18/7)+(8/9) = ?
Find what's the sum of 18/7 and 8/9.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (18 x 9), find the product of numerator of Fraction B and denominator of Fraction A (8 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 9) and rewrite the equation as like the below:
= (18 x 9) + (8 x 7)/(7 x 9)

step 3 Simplify and rewrite the fraction:
= (162 + 56)/63
18/7 + 8/9 = 218/63

Hence,
18/7 plus 8/9 in fraction is 218/63