9/4 + 1/13 as a fraction

Learn how to find what is 9/4 plus 1/13 in fraction form just in a few minutes. We have covered the easiest method to write 9/4 + 1/13 as a fraction and decimal.

Summary: 9/4 plus 1/13 = 121/52
Since both fractions have unequal denominators, 9/4 plus 1/13 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 9/4 and fraction 1/13 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 13. 52 is the LCM of 4 and 13. Multiplying the LCM 52 with the numerators and denominators of both fractions (9/4 x 52/52) + (1/13 x 52/52), and simplify further in order to have the common denominator. So the equivalent fraction for 9/4 is 117/52 and for 1/13 is 4/52. By simplifying this fraction addition 117/52 + 4/52, it becomes 121/52.

CALCULATION: 9/4 + 1/13 as a fraction
9/4 + 1/13 = (?)
9/4 + 1/13 = [(9 x 13) + (1 x 4)]/(4 x 13)
= (117 + 4)/52
= 121/52
9/4 + 1/13 = 121/52
9/4 plus 1/13 as a fraction is 121/52.

where
9/4 is a improper fraction as an addend,
1/13 is a proper fraction as an addend,
121/52 is the sum of 9/4 and 1/13.

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9/4 plus 1/13 as a decimal
9/4 + 1/13 = 121/52
121/52 = 2.3269
(9/4) + (1/13) as a decimal is 2.3269

where
2.3269 is the sum of 9/4 and 1/13.

The below workout with step by step calculation shows how to find the equivalent fraction between 9/4 and 1/13 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 9/4 plus 1/13 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(9/4) + (1/13) using LCM Method:
What is 9/4 plus 1/13 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/4
Fraction B: 1/13

What to be found?
(9/4) + (1/13) = ?
Find what's the sum of 9/4 and 1/13.

step 2 Compare the denominators of fractions 9/4 and 1/13 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 9/4 and 1/13 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 9/4 and 1/13:
The LCM of 4 and 13 is 52.

step 4 Write the fractions 9/4 and 1/13 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 9/4 + 1/13
= [(9 x 52)/(4 x 52)] + [(1 x 52)/(13 x 52)]

step 5 Simplify the expression to have common denominator:
= 117/52 + 4/52

step 6 Take the common values out and rewrite the above expression like the below:
= 1/52 x (117/1 + 4/1)
= 1/52 x (117 + 4)

step 7Simplify the above expression further:
= 1/52 x 121
= 121/52
9/4 + 1/13 = 121/52

Hence,
9/4 plus 1/13 as a fraction is 121/52.

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9/4 + 1/13 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/4
Fraction B: 1/13

What to be found?
(9/4)+(1/13) = ?
Find what's the sum of 9/4 and 1/13.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (9 x 13), find the product of numerator of Fraction B and denominator of Fraction A (1 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 13) and rewrite the equation as like the below:
= (9 x 13) + (1 x 4)/(4 x 13)

step 3 Simplify and rewrite the fraction:
= (117 + 4)/52
9/4 + 1/13 = 121/52

Hence,
9/4 plus 1/13 in fraction is 121/52