11/4 + 3/14 as a fraction

Learn how to find what is 11/4 plus 3/14 in fraction form just in a few minutes. We have covered the easiest method to write 11/4 + 3/14 as a fraction and decimal.

Summary: 11/4 plus 3/14 = 83/28
Since both fractions have unequal denominators, 11/4 plus 3/14 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 11/4 and fraction 3/14 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 14. 28 is the LCM of 4 and 14. Multiplying the LCM 28 with the numerators and denominators of both fractions (11/4 x 28/28) + (3/14 x 28/28), and simplify further in order to have the common denominator. So the equivalent fraction for 11/4 is 77/28 and for 3/14 is 6/28. By simplifying this fraction addition 77/28 + 6/28, it becomes 83/28.

CALCULATION: 11/4 + 3/14 as a fraction
11/4 + 3/14 = (?)
11/4 + 3/14 = [(11 x 14) + (3 x 4)]/(4 x 14)
= (154 + 12)/56
= 166/56
= (2 x 83)/(2 x 28)
= 83/28
11/4 + 3/14 = 83/28
11/4 plus 3/14 as a fraction is 83/28.

where
11/4 is a improper fraction as an addend,
3/14 is a proper fraction as an addend,
83/28 is the sum of 11/4 and 3/14.

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11/4 plus 3/14 as a decimal
11/4 + 3/14 = 83/28
83/28 = 2.9643
(11/4) + (3/14) as a decimal is 2.9643

where
2.9643 is the sum of 11/4 and 3/14.

The below workout with step by step calculation shows how to find the equivalent fraction between 11/4 and 3/14 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 11/4 plus 3/14 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(11/4) + (3/14) using LCM Method:
What is 11/4 plus 3/14 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/4
Fraction B: 3/14

What to be found?
(11/4) + (3/14) = ?
Find what's the sum of 11/4 and 3/14.

step 2 Compare the denominators of fractions 11/4 and 3/14 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 11/4 and 3/14 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 3/14:
The LCM of 4 and 14 is 28.

step 4 Write the fractions 11/4 and 3/14 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 11/4 + 3/14
= [(11 x 28)/(4 x 28)] + [(3 x 28)/(14 x 28)]

step 5 Simplify the expression to have common denominator:
= 77/28 + 6/28

step 6 Take the common values out and rewrite the above expression like the below:
= 1/28 x (77/1 + 6/1)
= 1/28 x (77 + 6)

step 7Simplify the above expression further:
= 1/28 x 83
= 83/28
11/4 + 3/14 = 83/28

Hence,
11/4 plus 3/14 as a fraction is 83/28.

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11/4 + 3/14 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/4
Fraction B: 3/14

What to be found?
(11/4)+(3/14) = ?
Find what's the sum of 11/4 and 3/14.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (11 x 14), find the product of numerator of Fraction B and denominator of Fraction A (3 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 14) and rewrite the equation as like the below:
= (11 x 14) + (3 x 4)/(4 x 14)

step 3 Simplify and rewrite the fraction:
= (154 + 12)/56
= 166/56
= 83/28
11/4 + 3/14 = 83/28

Hence,
11/4 plus 3/14 in fraction is 83/28