11/4 + 9/10 as a fraction

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

Summary: 11/4 plus 9/10 = 73/20
Since both fractions have unequal denominators, 11/4 plus 9/10 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 11/4 and fraction 9/10 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 (11/4 x 20/20) + (9/10 x 20/20), and simplify further in order to have the common denominator. So the equivalent fraction for 11/4 is 55/20 and for 9/10 is 18/20. By simplifying this fraction addition 55/20 + 18/20, it becomes 73/20.

CALCULATION: 11/4 + 9/10 as a fraction
11/4 + 9/10 = (?)
11/4 + 9/10 = [(11 x 10) + (9 x 4)]/(4 x 10)
= (110 + 36)/40
= 146/40
= (2 x 73)/(2 x 20)
= 73/20
11/4 + 9/10 = 73/20
11/4 plus 9/10 as a fraction is 73/20.

where
11/4 is a improper fraction as an addend,
9/10 is a proper fraction as an addend,
73/20 is the sum of 11/4 and 9/10.

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11/4 plus 9/10 as a decimal
11/4 + 9/10 = 73/20
73/20 = 3.65
(11/4) + (9/10) as a decimal is 3.65

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

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

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

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

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

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

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

step 5 Simplify the expression to have common denominator:
= 55/20 + 18/20

step 6 Take the common values out and rewrite the above expression like the below:
= 1/20 x (55/1 + 18/1)
= 1/20 x (55 + 18)

step 7Simplify the above expression further:
= 1/20 x 73
= 73/20
11/4 + 9/10 = 73/20

Hence,
11/4 plus 9/10 as a fraction is 73/20.

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

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

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

step 3 Simplify and rewrite the fraction:
= (110 + 36)/40
= 146/40
= 73/20
11/4 + 9/10 = 73/20

Hence,
11/4 plus 9/10 in fraction is 73/20