9/8 + 5/14 as a fraction

Learn how to find what is 9/8 plus 5/14 in fraction form just in a few minutes. We have covered the easiest method to write 9/8 + 5/14 as a fraction and decimal.

Summary: 9/8 plus 5/14 = 83/56
Since both fractions have unequal denominators, 9/8 plus 5/14 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 9/8 and fraction 5/14 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 (9/8 x 56/56) + (5/14 x 56/56), and simplify further in order to have the common denominator. So the equivalent fraction for 9/8 is 63/56 and for 5/14 is 20/56. By simplifying this fraction addition 63/56 + 20/56, it becomes 83/56.

CALCULATION: 9/8 + 5/14 as a fraction
9/8 + 5/14 = (?)
9/8 + 5/14 = [(9 x 14) + (5 x 8)]/(8 x 14)
= (126 + 40)/112
= 166/112
= (2 x 83)/(2 x 56)
= 83/56
9/8 + 5/14 = 83/56
9/8 plus 5/14 as a fraction is 83/56.

where
9/8 is a improper fraction as an addend,
5/14 is a proper fraction as an addend,
83/56 is the sum of 9/8 and 5/14.

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9/8 plus 5/14 as a decimal
9/8 + 5/14 = 83/56
83/56 = 1.4821
(9/8) + (5/14) as a decimal is 1.4821

where
1.4821 is the sum of 9/8 and 5/14.

The below workout with step by step calculation shows how to find the equivalent fraction between 9/8 and 5/14 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 9/8 plus 5/14 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(9/8) + (5/14) using LCM Method:
What is 9/8 plus 5/14 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/8
Fraction B: 5/14

What to be found?
(9/8) + (5/14) = ?
Find what's the sum of 9/8 and 5/14.

step 2 Compare the denominators of fractions 9/8 and 5/14 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 9/8 and 5/14 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 9/8 and 5/14:
The LCM of 8 and 14 is 56.

step 4 Write the fractions 9/8 and 5/14 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 9/8 + 5/14
= [(9 x 56)/(8 x 56)] + [(5 x 56)/(14 x 56)]

step 5 Simplify the expression to have common denominator:
= 63/56 + 20/56

step 6 Take the common values out and rewrite the above expression like the below:
= 1/56 x (63/1 + 20/1)
= 1/56 x (63 + 20)

step 7Simplify the above expression further:
= 1/56 x 83
= 83/56
9/8 + 5/14 = 83/56

Hence,
9/8 plus 5/14 as a fraction is 83/56.

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9/8 + 5/14 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/8
Fraction B: 5/14

What to be found?
(9/8)+(5/14) = ?
Find what's the sum of 9/8 and 5/14.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (9 x 14), find the product of numerator of Fraction B and denominator of Fraction A (5 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:
= (9 x 14) + (5 x 8)/(8 x 14)

step 3 Simplify and rewrite the fraction:
= (126 + 40)/112
= 166/112
= 83/56
9/8 + 5/14 = 83/56

Hence,
9/8 plus 5/14 in fraction is 83/56