13/3 + 13/16 as a fraction

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

Summary: 13/3 plus 13/16 = 247/48
Since both fractions have unequal denominators, 13/3 plus 13/16 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 13/3 and fraction 13/16 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 16. 48 is the LCM of 3 and 16. Multiplying the LCM 48 with the numerators and denominators of both fractions (13/3 x 48/48) + (13/16 x 48/48), and simplify further in order to have the common denominator. So the equivalent fraction for 13/3 is 208/48 and for 13/16 is 39/48. By simplifying this fraction addition 208/48 + 39/48, it becomes 247/48.

CALCULATION: 13/3 + 13/16 as a fraction
13/3 + 13/16 = (?)
13/3 + 13/16 = [(13 x 16) + (13 x 3)]/(3 x 16)
= (208 + 39)/48
= 247/48
13/3 + 13/16 = 247/48
13/3 plus 13/16 as a fraction is 247/48.

where
13/3 is a improper fraction as an addend,
13/16 is a proper fraction as an addend,
247/48 is the sum of 13/3 and 13/16.

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13/3 plus 13/16 as a decimal
13/3 + 13/16 = 247/48
247/48 = 5.1458
(13/3) + (13/16) as a decimal is 5.1458

where
5.1458 is the sum of 13/3 and 13/16.

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

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

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

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

step 2 Compare the denominators of fractions 13/3 and 13/16 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 13/3 and 13/16 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 13/3 and 13/16:
The LCM of 3 and 16 is 48.

step 4 Write the fractions 13/3 and 13/16 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 13/3 + 13/16
= [(13 x 48)/(3 x 48)] + [(13 x 48)/(16 x 48)]

step 5 Simplify the expression to have common denominator:
= 208/48 + 39/48

step 6 Take the common values out and rewrite the above expression like the below:
= 1/48 x (208/1 + 39/1)
= 1/48 x (208 + 39)

step 7Simplify the above expression further:
= 1/48 x 247
= 247/48
13/3 + 13/16 = 247/48

Hence,
13/3 plus 13/16 as a fraction is 247/48.

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

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

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 (13 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 16) and rewrite the equation as like the below:
= (13 x 16) + (13 x 3)/(3 x 16)

step 3 Simplify and rewrite the fraction:
= (208 + 39)/48
13/3 + 13/16 = 247/48

Hence,
13/3 plus 13/16 in fraction is 247/48