4/9 + 3/14 as a fraction

Learn how to find what is 4/9 plus 3/14 in fraction form just in a few minutes. We have covered the easiest method to write 4/9 + 3/14 as a fraction and decimal.

Summary: 4/9 plus 3/14 = 83/126
Since both fractions have unequal denominators, 4/9 plus 3/14 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 4/9 and fraction 3/14 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 (4/9 x 126/126) + (3/14 x 126/126), and simplify further in order to have the common denominator. So the equivalent fraction for 4/9 is 56/126 and for 3/14 is 27/126. By simplifying this fraction addition 56/126 + 27/126, it becomes 83/126.

Pie Chart Representation: 4/9 + 3/14 = 83/126

CALCULATION: 4/9 + 3/14 as a fraction
4/9 + 3/14 = (?)
4/9 + 3/14 = [(4 x 14) + (3 x 9)]/(9 x 14)
= (56 + 27)/126
= 83/126
4/9 + 3/14 = 83/126
4/9 plus 3/14 as a fraction is 83/126.

where
4/9 is a proper fraction as an addend,
3/14 is a proper fraction as an addend,
83/126 is the sum of 4/9 and 3/14.

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4/9 plus 3/14 as a decimal
4/9 + 3/14 = 83/126
83/126 = 0.6587
(4/9) + (3/14) as a decimal is 0.6587

where
0.6587 is the sum of 4/9 and 3/14.

The below workout with step by step calculation shows how to find the equivalent fraction between 4/9 and 3/14 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 4/9 plus 3/14 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(4/9) + (3/14) using LCM Method:
What is 4/9 plus 3/14 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 4/9
Fraction B: 3/14

What to be found?
(4/9) + (3/14) = ?
Find what's the sum of 4/9 and 3/14.

step 2 Compare the denominators of fractions 4/9 and 3/14 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 4/9 and 3/14 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 4/9 and 3/14:
The LCM of 9 and 14 is 126.

step 4 Write the fractions 4/9 and 3/14 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 4/9 + 3/14
= [(4 x 126)/(9 x 126)] + [(3 x 126)/(14 x 126)]

step 5 Simplify the expression to have common denominator:
= 56/126 + 27/126

step 6 Take the common values out and rewrite the above expression like the below:
= 1/126 x (56/1 + 27/1)
= 1/126 x (56 + 27)

step 7Simplify the above expression further:
= 1/126 x 83
= 83/126
4/9 + 3/14 = 83/126

Hence,
4/9 plus 3/14 as a fraction is 83/126.

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4/9 + 3/14 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 4/9
Fraction B: 3/14

What to be found?
(4/9)+(3/14) = ?
Find what's the sum of 4/9 and 3/14.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (4 x 14), 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 14) and rewrite the equation as like the below:
= (4 x 14) + (3 x 9)/(9 x 14)

step 3 Simplify and rewrite the fraction:
= (56 + 27)/126
4/9 + 3/14 = 83/126

Hence,
4/9 plus 3/14 in fraction is 83/126