13/2 + 1/16 as a fraction

Learn how to find what is 13/2 plus 1/16 in fraction form just in a few minutes. We have covered the easiest method to write 13/2 + 1/16 as a fraction and decimal.

Summary: 13/2 plus 1/16 = 105/16
Since both fractions have unequal denominators, 13/2 plus 1/16 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 13/2 and fraction 1/16 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 16. 16 is the LCM of 2 and 16. Multiplying the LCM 16 with the numerators and denominators of both fractions (13/2 x 16/16) + (1/16 x 16/16), and simplify further in order to have the common denominator. So the equivalent fraction for 13/2 is 104/16 and for 1/16 is 1/16. By simplifying this fraction addition 104/16 + 1/16, it becomes 105/16.

CALCULATION: 13/2 + 1/16 as a fraction
13/2 + 1/16 = (?)
13/2 + 1/16 = [(13 x 16) + (1 x 2)]/(2 x 16)
= (208 + 2)/32
= 210/32
= (2 x 105)/(2 x 16)
= 105/16
13/2 + 1/16 = 105/16
13/2 plus 1/16 as a fraction is 105/16.

where
13/2 is a improper fraction as an addend,
1/16 is a proper fraction as an addend,
105/16 is the sum of 13/2 and 1/16.

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13/2 plus 1/16 as a decimal
13/2 + 1/16 = 105/16
105/16 = 6.5625
(13/2) + (1/16) as a decimal is 6.5625

where
6.5625 is the sum of 13/2 and 1/16.

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

(13/2) + (1/16) using LCM Method:
What is 13/2 plus 1/16 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/2
Fraction B: 1/16

What to be found?
(13/2) + (1/16) = ?
Find what's the sum of 13/2 and 1/16.

step 2 Compare the denominators of fractions 13/2 and 1/16 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 13/2 and 1/16 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 13/2 and 1/16:
The LCM of 2 and 16 is 16.

step 4 Write the fractions 13/2 and 1/16 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 13/2 + 1/16
= [(13 x 16)/(2 x 16)] + [(1 x 16)/(16 x 16)]

step 5 Simplify the expression to have common denominator:
= 104/16 + 1/16

step 6 Take the common values out and rewrite the above expression like the below:
= 1/16 x (104/1 + 1/1)
= 1/16 x (104 + 1)

step 7Simplify the above expression further:
= 1/16 x 105
= 105/16
13/2 + 1/16 = 105/16

Hence,
13/2 plus 1/16 as a fraction is 105/16.

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13/2 + 1/16 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/2
Fraction B: 1/16

What to be found?
(13/2)+(1/16) = ?
Find what's the sum of 13/2 and 1/16.

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 (1 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 16) and rewrite the equation as like the below:
= (13 x 16) + (1 x 2)/(2 x 16)

step 3 Simplify and rewrite the fraction:
= (208 + 2)/32
= 210/32
= 105/16
13/2 + 1/16 = 105/16

Hence,
13/2 plus 1/16 in fraction is 105/16