3/4 + 2 as a fraction

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

Summary: 3/4 plus 2 = 11/4
Since both fractions have unequal denominators, 3/4 plus 2 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 3/4 and fraction 2 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 (3/4 x 4/4) + (2 x 4/4), and simplify further in order to have the common denominator. So the equivalent fraction for 3/4 is 3/4 and for 2 is 8/4. By simplifying this fraction addition 3/4 + 8/4, it becomes 11/4.

CALCULATION: 3/4 + 2 as a fraction
3/4 + 2 = (?)
3/4 + 2/1 = [(3 x 1) + (2 x 4)]/(4 x 1)
= (3 + 8)/4
= 11/4
3/4 + 2 = 11/4
3/4 plus 2 as a fraction is 11/4.

where
3/4 is a proper fraction as an addend,
2 is a whole number as an addend,
11/4 is the sum of 3/4 and 2.

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3/4 plus 2 as a decimal
3/4 + 2 = 11/4
11/4 = 2.75
(3/4) + (2) as a decimal is 2.75

where
2.75 is the sum of 3/4 and 2.

The below workout with step by step calculation shows how to find the equivalent fraction between 3/4 and 2 by adding fraction to a whole number . The sum in fraction form for 3/4 plus 2/1 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

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

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

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

step 2 Compare the denominators of fractions 3/4 and 2 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 3/4 and 2 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 3/4 and 2:
The LCM of 4 and 1 is 4.

step 4 Write the fractions 3/4 and 2 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 3/4 + 2
= [(3 x 4)/(4 x 4)] + [(2 x 4)/(1 x 4)]

step 5 Simplify the expression to have common denominator:
= 3/4 + 8/4

step 6 Take the common values out and rewrite the above expression like the below:
= 1/4 x (3/1 + 8/1)
= 1/4 x (3 + 8)

step 7Simplify the above expression further:
= 1/4 x 11
= 11/4
3/4 + 2 = 11/4

Hence,
3/4 plus 2 as a fraction is 11/4.

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

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

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 1), find the product of numerator of Fraction B and denominator of Fraction A (2 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:
= (3 x 1) + (2 x 4)/(4 x 1)

step 3 Simplify and rewrite the fraction:
= (3 + 8)/4
3/4 + 2 = 11/4

Hence,
3/4 plus 2 in fraction is 11/4