9/4 + 11/7 as a fraction

Learn how to find what is 9/4 plus 11/7 in fraction form just in a few minutes. We have covered the easiest method to write 9/4 + 11/7 as a fraction and decimal.

Summary: 9/4 plus 11/7 = 107/28
Since both fractions have unequal denominators, 9/4 plus 11/7 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 9/4 and fraction 11/7 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 7. 28 is the LCM of 4 and 7. Multiplying the LCM 28 with the numerators and denominators of both fractions (9/4 x 28/28) + (11/7 x 28/28), and simplify further in order to have the common denominator. So the equivalent fraction for 9/4 is 63/28 and for 11/7 is 44/28. By simplifying this fraction addition 63/28 + 44/28, it becomes 107/28.

CALCULATION: 9/4 + 11/7 as a fraction
9/4 + 11/7 = (?)
9/4 + 11/7 = [(9 x 7) + (11 x 4)]/(4 x 7)
= (63 + 44)/28
= 107/28
9/4 + 11/7 = 107/28
9/4 plus 11/7 as a fraction is 107/28.

where
9/4 is a improper fraction as an addend,
11/7 is a improper fraction as an addend,
107/28 is the sum of 9/4 and 11/7.

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9/4 plus 11/7 as a decimal
9/4 + 11/7 = 107/28
107/28 = 3.8214
(9/4) + (11/7) as a decimal is 3.8214

where
3.8214 is the sum of 9/4 and 11/7.

The below workout with step by step calculation shows how to find the equivalent fraction between 9/4 and 11/7 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 9/4 plus 11/7 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(9/4) + (11/7) using LCM Method:
What is 9/4 plus 11/7 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/4
Fraction B: 11/7

What to be found?
(9/4) + (11/7) = ?
Find what's the sum of 9/4 and 11/7.

step 2 Compare the denominators of fractions 9/4 and 11/7 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 9/4 and 11/7 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 11/7:
The LCM of 4 and 7 is 28.

step 4 Write the fractions 9/4 and 11/7 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 9/4 + 11/7
= [(9 x 28)/(4 x 28)] + [(11 x 28)/(7 x 28)]

step 5 Simplify the expression to have common denominator:
= 63/28 + 44/28

step 6 Take the common values out and rewrite the above expression like the below:
= 1/28 x (63/1 + 44/1)
= 1/28 x (63 + 44)

step 7Simplify the above expression further:
= 1/28 x 107
= 107/28
9/4 + 11/7 = 107/28

Hence,
9/4 plus 11/7 as a fraction is 107/28.

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9/4 + 11/7 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/4
Fraction B: 11/7

What to be found?
(9/4)+(11/7) = ?
Find what's the sum of 9/4 and 11/7.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (9 x 7), find the product of numerator of Fraction B and denominator of Fraction A (11 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 7) and rewrite the equation as like the below:
= (9 x 7) + (11 x 4)/(4 x 7)

step 3 Simplify and rewrite the fraction:
= (63 + 44)/28
9/4 + 11/7 = 107/28

Hence,
9/4 plus 11/7 in fraction is 107/28