11/4 + 9 as a fraction

Learn how to find what is 11/4 plus 9 in fraction form just in a few minutes. We have covered the easiest method to write 11/4 + 9 as a fraction and decimal.

Summary: 11/4 plus 9 = 47/4
Since both fractions have unequal denominators, 11/4 plus 9 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 11/4 and fraction 9 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 1. 4 is the LCM of 4 and 1. Multiplying the LCM 4 with the numerators and denominators of both fractions (11/4 x 4/4) + (9 x 4/4), and simplify further in order to have the common denominator. So the equivalent fraction for 11/4 is 11/4 and for 9 is 36/4. By simplifying this fraction addition 11/4 + 36/4, it becomes 47/4.

CALCULATION: 11/4 + 9 as a fraction
11/4 + 9 = (?)
11/4 + 9/1 = [(11 x 1) + (9 x 4)]/(4 x 1)
= (11 + 36)/4
= 47/4
11/4 + 9 = 47/4
11/4 plus 9 as a fraction is 47/4.

where
11/4 is a improper fraction as an addend,
9 is a whole number as an addend,
47/4 is the sum of 11/4 and 9.

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11/4 plus 9 as a decimal
11/4 + 9 = 47/4
47/4 = 11.75
(11/4) + (9) as a decimal is 11.75

where
11.75 is the sum of 11/4 and 9.

The below workout with step by step calculation shows how to find the equivalent fraction between 11/4 and 9 by adding fraction to a whole number . The sum in fraction form for 11/4 plus 9/1 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(11/4) + (9) using LCM Method:
What is 11/4 plus 9 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/4
Fraction B: 9/1

What to be found?
(11/4) + (9) = ?
Find what's the sum of 11/4 and 9.

step 2 Compare the denominators of fractions 11/4 and 9 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 11/4 and 9 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 11/4 and 9:
The LCM of 4 and 1 is 4.

step 4 Write the fractions 11/4 and 9 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 11/4 + 9
= [(11 x 4)/(4 x 4)] + [(9 x 4)/(1 x 4)]

step 5 Simplify the expression to have common denominator:
= 11/4 + 36/4

step 6 Take the common values out and rewrite the above expression like the below:
= 1/4 x (11/1 + 36/1)
= 1/4 x (11 + 36)

step 7Simplify the above expression further:
= 1/4 x 47
= 47/4
11/4 + 9 = 47/4

Hence,
11/4 plus 9 as a fraction is 47/4.

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11/4 + 9 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/4
Fraction B: 9/1

What to be found?
(11/4)+(9) = ?
Find what's the sum of 11/4 and 9.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (11 x 1), find the product of numerator of Fraction B and denominator of Fraction A (9 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 1) and rewrite the equation as like the below:
= (11 x 1) + (9 x 4)/(4 x 1)

step 3 Simplify and rewrite the fraction:
= (11 + 36)/4
11/4 + 9 = 47/4

Hence,
11/4 plus 9 in fraction is 47/4