What is 7/9 plus 3/13 in fraction?
7/9 plus 3/13 equals to 118/117 in fraction form.
Learn how to find what is 7/9 plus 3/13 in fraction form just in a few minutes. We have covered the easiest method to write 7/9 + 3/13 as a fraction and decimal.
Summary: 7/9 plus 3/13
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 7/9 and 3/13 having identical denominators before starting adding the fractions. Find the LCM of denominators, 117 is the LCM of 9 and 13. Multiply the LCM 117 with all the numerators and denominators of both fractions (7/9 x 117/117) + (3/13 x 117/117) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 118/117.
The below workout with step by step calculation shows how to find the equivalent fraction between 7/9 and 3/13 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 7/9 plus 3/13 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
7/9+3/13 using LCM Method:
What is 7/9 plus 3/13 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/9
Fraction B: 3/13
What to be found?
7/9+3/13 = ?
Find what's the sum of 7/9 and 3/13.
step 2 Compare the denominators of fractions 7/9 and 3/13 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 7/9 and 3/13 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 3/13:
The LCM of 9 and 13 is 117.
step 4 Write the fractions 7/9 and 3/13 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=7/9+3/13
=(7 x 117)/(9 x 117)+(3 x 117)/(13 x 117)
step 5 Simplify the expression to have common denominator:
=91/117+27/117
step 6 Take the common values out and rewrite the above expression like the below:
=1/117 x (91/1+27/1)
=1/117 x (91 + 27)
step 7Simplify the above expression further:
=1/117 x 118
=118/117
7/9+3/13=118/117
Hence,
7/9 plus 3/13 equals to 118/117 in fraction.
7/9+3/13 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/9
Fraction B: 3/13
What to be found?
7/9+3/13 = ?
Find what's the sum of 7/9 and 3/13.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 13), find the product of numerator of Fraction B and denominator of Fraction A (3 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 13) and rewrite the equation as like the below:
= (7 x 13) + (3 x 9)/(9 x 13)
step 3 Simplify and rewrite the fraction:
= (91 + 27)/117
7/9+3/13 = 118/117
Hence,
7/9 plus 3/13 = 118/117