9/2 + 3/4 as a fraction

Learn how to find what is 9/2 plus 3/4 in fraction form just in a few minutes. We have covered the easiest method to write 9/2 + 3/4 as a fraction and decimal.

Summary: 9/2 plus 3/4 = 21/4
Since both fractions have unequal denominators, 9/2 plus 3/4 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 9/2 and fraction 3/4 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 4. 4 is the LCM of 2 and 4. Multiplying the LCM 4 with the numerators and denominators of both fractions (9/2 x 4/4) + (3/4 x 4/4), and simplify further in order to have the common denominator. So the equivalent fraction for 9/2 is 18/4 and for 3/4 is 3/4. By simplifying this fraction addition 18/4 + 3/4, it becomes 21/4.

CALCULATION: 9/2 + 3/4 as a fraction
9/2 + 3/4 = (?)
9/2 + 3/4 = [(9 x 4) + (3 x 2)]/(2 x 4)
= (36 + 6)/8
= 42/8
= (2 x 21)/(2 x 4)
= 21/4
9/2 + 3/4 = 21/4
9/2 plus 3/4 as a fraction is 21/4.

where
9/2 is a improper fraction as an addend,
3/4 is a proper fraction as an addend,
21/4 is the sum of 9/2 and 3/4.

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9/2 plus 3/4 as a decimal
9/2 + 3/4 = 21/4
21/4 = 5.25
(9/2) + (3/4) as a decimal is 5.25

where
5.25 is the sum of 9/2 and 3/4.

The below workout with step by step calculation shows how to find the equivalent fraction between 9/2 and 3/4 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 9/2 plus 3/4 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(9/2) + (3/4) using LCM Method:
What is 9/2 plus 3/4 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/2
Fraction B: 3/4

What to be found?
(9/2) + (3/4) = ?
Find what's the sum of 9/2 and 3/4.

step 2 Compare the denominators of fractions 9/2 and 3/4 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 9/2 and 3/4 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 9/2 and 3/4:
The LCM of 2 and 4 is 4.

step 4 Write the fractions 9/2 and 3/4 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 9/2 + 3/4
= [(9 x 4)/(2 x 4)] + [(3 x 4)/(4 x 4)]

step 5 Simplify the expression to have common denominator:
= 18/4 + 3/4

step 6 Take the common values out and rewrite the above expression like the below:
= 1/4 x (18/1 + 3/1)
= 1/4 x (18 + 3)

step 7Simplify the above expression further:
= 1/4 x 21
= 21/4
9/2 + 3/4 = 21/4

Hence,
9/2 plus 3/4 as a fraction is 21/4.

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9/2 + 3/4 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/2
Fraction B: 3/4

What to be found?
(9/2)+(3/4) = ?
Find what's the sum of 9/2 and 3/4.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (9 x 4), find the product of numerator of Fraction B and denominator of Fraction A (3 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 4) and rewrite the equation as like the below:
= (9 x 4) + (3 x 2)/(2 x 4)

step 3 Simplify and rewrite the fraction:
= (36 + 6)/8
= 42/8
= 21/4
9/2 + 3/4 = 21/4

Hence,
9/2 plus 3/4 in fraction is 21/4