13/9 + 3/16 as a fraction

Learn how to find what is 13/9 plus 3/16 in fraction form just in a few minutes. We have covered the easiest method to write 13/9 + 3/16 as a fraction and decimal.

Summary: 13/9 plus 3/16 = 235/144
Since both fractions have unequal denominators, 13/9 plus 3/16 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 13/9 and fraction 3/16 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 16. 144 is the LCM of 9 and 16. Multiplying the LCM 144 with the numerators and denominators of both fractions (13/9 x 144/144) + (3/16 x 144/144), and simplify further in order to have the common denominator. So the equivalent fraction for 13/9 is 208/144 and for 3/16 is 27/144. By simplifying this fraction addition 208/144 + 27/144, it becomes 235/144.

CALCULATION: 13/9 + 3/16 as a fraction
13/9 + 3/16 = (?)
13/9 + 3/16 = [(13 x 16) + (3 x 9)]/(9 x 16)
= (208 + 27)/144
= 235/144
13/9 + 3/16 = 235/144
13/9 plus 3/16 as a fraction is 235/144.

where
13/9 is a improper fraction as an addend,
3/16 is a proper fraction as an addend,
235/144 is the sum of 13/9 and 3/16.

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13/9 plus 3/16 as a decimal
13/9 + 3/16 = 235/144
235/144 = 1.6319
(13/9) + (3/16) as a decimal is 1.6319

where
1.6319 is the sum of 13/9 and 3/16.

The below workout with step by step calculation shows how to find the equivalent fraction between 13/9 and 3/16 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 13/9 plus 3/16 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(13/9) + (3/16) using LCM Method:
What is 13/9 plus 3/16 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/9
Fraction B: 3/16

What to be found?
(13/9) + (3/16) = ?
Find what's the sum of 13/9 and 3/16.

step 2 Compare the denominators of fractions 13/9 and 3/16 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 13/9 and 3/16 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 13/9 and 3/16:
The LCM of 9 and 16 is 144.

step 4 Write the fractions 13/9 and 3/16 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 13/9 + 3/16
= [(13 x 144)/(9 x 144)] + [(3 x 144)/(16 x 144)]

step 5 Simplify the expression to have common denominator:
= 208/144 + 27/144

step 6 Take the common values out and rewrite the above expression like the below:
= 1/144 x (208/1 + 27/1)
= 1/144 x (208 + 27)

step 7Simplify the above expression further:
= 1/144 x 235
= 235/144
13/9 + 3/16 = 235/144

Hence,
13/9 plus 3/16 as a fraction is 235/144.

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13/9 + 3/16 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/9
Fraction B: 3/16

What to be found?
(13/9)+(3/16) = ?
Find what's the sum of 13/9 and 3/16.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (13 x 16), 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 16) and rewrite the equation as like the below:
= (13 x 16) + (3 x 9)/(9 x 16)

step 3 Simplify and rewrite the fraction:
= (208 + 27)/144
13/9 + 3/16 = 235/144

Hence,
13/9 plus 3/16 in fraction is 235/144