13/8 + 9/14 as a fraction

Learn how to find what is 13/8 plus 9/14 in fraction form just in a few minutes. We have covered the easiest method to write 13/8 + 9/14 as a fraction and decimal.

Summary: 13/8 plus 9/14 = 127/56
Since both fractions have unequal denominators, 13/8 plus 9/14 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 13/8 and fraction 9/14 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 14. 56 is the LCM of 8 and 14. Multiplying the LCM 56 with the numerators and denominators of both fractions (13/8 x 56/56) + (9/14 x 56/56), and simplify further in order to have the common denominator. So the equivalent fraction for 13/8 is 91/56 and for 9/14 is 36/56. By simplifying this fraction addition 91/56 + 36/56, it becomes 127/56.

CALCULATION: 13/8 + 9/14 as a fraction
13/8 + 9/14 = (?)
13/8 + 9/14 = [(13 x 14) + (9 x 8)]/(8 x 14)
= (182 + 72)/112
= 254/112
= (2 x 127)/(2 x 56)
= 127/56
13/8 + 9/14 = 127/56
13/8 plus 9/14 as a fraction is 127/56.

where
13/8 is a improper fraction as an addend,
9/14 is a proper fraction as an addend,
127/56 is the sum of 13/8 and 9/14.

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13/8 plus 9/14 as a decimal
13/8 + 9/14 = 127/56
127/56 = 2.2679
(13/8) + (9/14) as a decimal is 2.2679

where
2.2679 is the sum of 13/8 and 9/14.

The below workout with step by step calculation shows how to find the equivalent fraction between 13/8 and 9/14 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 13/8 plus 9/14 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(13/8) + (9/14) using LCM Method:
What is 13/8 plus 9/14 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/8
Fraction B: 9/14

What to be found?
(13/8) + (9/14) = ?
Find what's the sum of 13/8 and 9/14.

step 2 Compare the denominators of fractions 13/8 and 9/14 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 13/8 and 9/14 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 13/8 and 9/14:
The LCM of 8 and 14 is 56.

step 4 Write the fractions 13/8 and 9/14 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 13/8 + 9/14
= [(13 x 56)/(8 x 56)] + [(9 x 56)/(14 x 56)]

step 5 Simplify the expression to have common denominator:
= 91/56 + 36/56

step 6 Take the common values out and rewrite the above expression like the below:
= 1/56 x (91/1 + 36/1)
= 1/56 x (91 + 36)

step 7Simplify the above expression further:
= 1/56 x 127
= 127/56
13/8 + 9/14 = 127/56

Hence,
13/8 plus 9/14 as a fraction is 127/56.

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13/8 + 9/14 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/8
Fraction B: 9/14

What to be found?
(13/8)+(9/14) = ?
Find what's the sum of 13/8 and 9/14.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (13 x 14), find the product of numerator of Fraction B and denominator of Fraction A (9 x 8), and find the product of both denominators of Fraction A and Fraction B (8 x 14) and rewrite the equation as like the below:
= (13 x 14) + (9 x 8)/(8 x 14)

step 3 Simplify and rewrite the fraction:
= (182 + 72)/112
= 254/112
= 127/56
13/8 + 9/14 = 127/56

Hence,
13/8 plus 9/14 in fraction is 127/56