7/9 + 1/2 as a fraction

Learn how to find what is 7/9 plus 1/2 in fraction form just in a few minutes. We have covered the easiest method to write 7/9 + 1/2 as a fraction and decimal.

Summary: 7/9 plus 1/2 = 23/18
Since both fractions have unequal denominators, 7/9 plus 1/2 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 7/9 and fraction 1/2 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 2. 18 is the LCM of 9 and 2. Multiplying the LCM 18 with the numerators and denominators of both fractions (7/9 x 18/18) + (1/2 x 18/18), and simplify further in order to have the common denominator. So the equivalent fraction for 7/9 is 14/18 and for 1/2 is 9/18. By simplifying this fraction addition 14/18 + 9/18, it becomes 23/18.

CALCULATION: 7/9 + 1/2 as a fraction
7/9 + 1/2 = (?)
7/9 + 1/2 = [(7 x 2) + (1 x 9)]/(9 x 2)
= (14 + 9)/18
= 23/18
7/9 + 1/2 = 23/18
7/9 plus 1/2 as a fraction is 23/18.

where
7/9 is a proper fraction as an addend,
1/2 is a proper fraction as an addend,
23/18 is the sum of 7/9 and 1/2.

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7/9 plus 1/2 as a decimal
7/9 + 1/2 = 23/18
23/18 = 1.2778
(7/9) + (1/2) as a decimal is 1.2778

where
1.2778 is the sum of 7/9 and 1/2.

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

(7/9) + (1/2) using LCM Method:
What is 7/9 plus 1/2 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/9
Fraction B: 1/2

What to be found?
(7/9) + (1/2) = ?
Find what's the sum of 7/9 and 1/2.

step 2 Compare the denominators of fractions 7/9 and 1/2 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 7/9 and 1/2 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 7/9 and 1/2:
The LCM of 9 and 2 is 18.

step 4 Write the fractions 7/9 and 1/2 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 7/9 + 1/2
= [(7 x 18)/(9 x 18)] + [(1 x 18)/(2 x 18)]

step 5 Simplify the expression to have common denominator:
= 14/18 + 9/18

step 6 Take the common values out and rewrite the above expression like the below:
= 1/18 x (14/1 + 9/1)
= 1/18 x (14 + 9)

step 7Simplify the above expression further:
= 1/18 x 23
= 23/18
7/9 + 1/2 = 23/18

Hence,
7/9 plus 1/2 as a fraction is 23/18.

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7/9 + 1/2 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/9
Fraction B: 1/2

What to be found?
(7/9)+(1/2) = ?
Find what's the sum of 7/9 and 1/2.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 2), find the product of numerator of Fraction B and denominator of Fraction A (1 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 2) and rewrite the equation as like the below:
= (7 x 2) + (1 x 9)/(9 x 2)

step 3 Simplify and rewrite the fraction:
= (14 + 9)/18
7/9 + 1/2 = 23/18

Hence,
7/9 plus 1/2 in fraction is 23/18