9/4 + 11/10 as a fraction

Learn how to find what is 9/4 plus 11/10 in fraction form just in a few minutes. We have covered the easiest method to write 9/4 + 11/10 as a fraction and decimal.

Summary: 9/4 plus 11/10 = 67/20
Since both fractions have unequal denominators, 9/4 plus 11/10 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 9/4 and fraction 11/10 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 10. 20 is the LCM of 4 and 10. Multiplying the LCM 20 with the numerators and denominators of both fractions (9/4 x 20/20) + (11/10 x 20/20), and simplify further in order to have the common denominator. So the equivalent fraction for 9/4 is 45/20 and for 11/10 is 22/20. By simplifying this fraction addition 45/20 + 22/20, it becomes 67/20.

CALCULATION: 9/4 + 11/10 as a fraction
9/4 + 11/10 = (?)
9/4 + 11/10 = [(9 x 10) + (11 x 4)]/(4 x 10)
= (90 + 44)/40
= 134/40
= (2 x 67)/(2 x 20)
= 67/20
9/4 + 11/10 = 67/20
9/4 plus 11/10 as a fraction is 67/20.

where
9/4 is a improper fraction as an addend,
11/10 is a improper fraction as an addend,
67/20 is the sum of 9/4 and 11/10.

---

9/4 plus 11/10 as a decimal
9/4 + 11/10 = 67/20
67/20 = 3.35
(9/4) + (11/10) as a decimal is 3.35

where
3.35 is the sum of 9/4 and 11/10.

The below workout with step by step calculation shows how to find the equivalent fraction between 9/4 and 11/10 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 9/4 plus 11/10 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(9/4) + (11/10) using LCM Method:
What is 9/4 plus 11/10 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/4
Fraction B: 11/10

What to be found?
(9/4) + (11/10) = ?
Find what's the sum of 9/4 and 11/10.

step 2 Compare the denominators of fractions 9/4 and 11/10 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 9/4 and 11/10 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 11/10:
The LCM of 4 and 10 is 20.

step 4 Write the fractions 9/4 and 11/10 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 9/4 + 11/10
= [(9 x 20)/(4 x 20)] + [(11 x 20)/(10 x 20)]

step 5 Simplify the expression to have common denominator:
= 45/20 + 22/20

step 6 Take the common values out and rewrite the above expression like the below:
= 1/20 x (45/1 + 22/1)
= 1/20 x (45 + 22)

step 7Simplify the above expression further:
= 1/20 x 67
= 67/20
9/4 + 11/10 = 67/20

Hence,
9/4 plus 11/10 as a fraction is 67/20.

---

9/4 + 11/10 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/4
Fraction B: 11/10

What to be found?
(9/4)+(11/10) = ?
Find what's the sum of 9/4 and 11/10.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (9 x 10), 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 10) and rewrite the equation as like the below:
= (9 x 10) + (11 x 4)/(4 x 10)

step 3 Simplify and rewrite the fraction:
= (90 + 44)/40
= 134/40
= 67/20
9/4 + 11/10 = 67/20

Hence,
9/4 plus 11/10 in fraction is 67/20