10/9 + 5/14 as a fraction

Learn how to find what is 10/9 plus 5/14 in fraction form just in a few minutes. We have covered the easiest method to write 10/9 + 5/14 as a fraction and decimal.

Summary: 10/9 plus 5/14 = 185/126
Since both fractions have unequal denominators, 10/9 plus 5/14 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 10/9 and fraction 5/14 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 14. 126 is the LCM of 9 and 14. Multiplying the LCM 126 with the numerators and denominators of both fractions (10/9 x 126/126) + (5/14 x 126/126), and simplify further in order to have the common denominator. So the equivalent fraction for 10/9 is 140/126 and for 5/14 is 45/126. By simplifying this fraction addition 140/126 + 45/126, it becomes 185/126.

CALCULATION: 10/9 + 5/14 as a fraction
10/9 + 5/14 = (?)
10/9 + 5/14 = [(10 x 14) + (5 x 9)]/(9 x 14)
= (140 + 45)/126
= 185/126
10/9 + 5/14 = 185/126
10/9 plus 5/14 as a fraction is 185/126.

where
10/9 is a improper fraction as an addend,
5/14 is a proper fraction as an addend,
185/126 is the sum of 10/9 and 5/14.

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10/9 plus 5/14 as a decimal
10/9 + 5/14 = 185/126
185/126 = 1.4683
(10/9) + (5/14) as a decimal is 1.4683

where
1.4683 is the sum of 10/9 and 5/14.

The below workout with step by step calculation shows how to find the equivalent fraction between 10/9 and 5/14 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 10/9 plus 5/14 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(10/9) + (5/14) using LCM Method:
What is 10/9 plus 5/14 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 10/9
Fraction B: 5/14

What to be found?
(10/9) + (5/14) = ?
Find what's the sum of 10/9 and 5/14.

step 2 Compare the denominators of fractions 10/9 and 5/14 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 10/9 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 10/9 and 5/14:
The LCM of 9 and 14 is 126.

step 4 Write the fractions 10/9 and 5/14 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 10/9 + 5/14
= [(10 x 126)/(9 x 126)] + [(5 x 126)/(14 x 126)]

step 5 Simplify the expression to have common denominator:
= 140/126 + 45/126

step 6 Take the common values out and rewrite the above expression like the below:
= 1/126 x (140/1 + 45/1)
= 1/126 x (140 + 45)

step 7Simplify the above expression further:
= 1/126 x 185
= 185/126
10/9 + 5/14 = 185/126

Hence,
10/9 plus 5/14 as a fraction is 185/126.

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10/9 + 5/14 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 10/9
Fraction B: 5/14

What to be found?
(10/9)+(5/14) = ?
Find what's the sum of 10/9 and 5/14.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (10 x 14), find the product of numerator of Fraction B and denominator of Fraction A (5 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 14) and rewrite the equation as like the below:
= (10 x 14) + (5 x 9)/(9 x 14)

step 3 Simplify and rewrite the fraction:
= (140 + 45)/126
10/9 + 5/14 = 185/126

Hence,
10/9 plus 5/14 in fraction is 185/126