11/4 + 7/8 as a fraction

Learn how to find what is 11/4 plus 7/8 in fraction form just in a few minutes. We have covered the easiest method to write 11/4 + 7/8 as a fraction and decimal.

Summary: 11/4 plus 7/8 = 29/8
Since both fractions have unequal denominators, 11/4 plus 7/8 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 11/4 and fraction 7/8 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 8. 8 is the LCM of 4 and 8. Multiplying the LCM 8 with the numerators and denominators of both fractions (11/4 x 8/8) + (7/8 x 8/8), and simplify further in order to have the common denominator. So the equivalent fraction for 11/4 is 22/8 and for 7/8 is 7/8. By simplifying this fraction addition 22/8 + 7/8, it becomes 29/8.

CALCULATION: 11/4 + 7/8 as a fraction
11/4 + 7/8 = (?)
11/4 + 7/8 = [(11 x 8) + (7 x 4)]/(4 x 8)
= (88 + 28)/32
= 116/32
= (4 x 29)/(4 x 8)
= 29/8
11/4 + 7/8 = 29/8
11/4 plus 7/8 as a fraction is 29/8.

where
11/4 is a improper fraction as an addend,
7/8 is a proper fraction as an addend,
29/8 is the sum of 11/4 and 7/8.

---

11/4 plus 7/8 as a decimal
11/4 + 7/8 = 29/8
29/8 = 3.625
(11/4) + (7/8) as a decimal is 3.625

where
3.625 is the sum of 11/4 and 7/8.

The below workout with step by step calculation shows how to find the equivalent fraction between 11/4 and 7/8 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 11/4 plus 7/8 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(11/4) + (7/8) using LCM Method:
What is 11/4 plus 7/8 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/4
Fraction B: 7/8

What to be found?
(11/4) + (7/8) = ?
Find what's the sum of 11/4 and 7/8.

step 2 Compare the denominators of fractions 11/4 and 7/8 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 11/4 and 7/8 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 7/8:
The LCM of 4 and 8 is 8.

step 4 Write the fractions 11/4 and 7/8 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 11/4 + 7/8
= [(11 x 8)/(4 x 8)] + [(7 x 8)/(8 x 8)]

step 5 Simplify the expression to have common denominator:
= 22/8 + 7/8

step 6 Take the common values out and rewrite the above expression like the below:
= 1/8 x (22/1 + 7/1)
= 1/8 x (22 + 7)

step 7Simplify the above expression further:
= 1/8 x 29
= 29/8
11/4 + 7/8 = 29/8

Hence,
11/4 plus 7/8 as a fraction is 29/8.

---

11/4 + 7/8 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/4
Fraction B: 7/8

What to be found?
(11/4)+(7/8) = ?
Find what's the sum of 11/4 and 7/8.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (11 x 8), find the product of numerator of Fraction B and denominator of Fraction A (7 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 8) and rewrite the equation as like the below:
= (11 x 8) + (7 x 4)/(4 x 8)

step 3 Simplify and rewrite the fraction:
= (88 + 28)/32
= 116/32
= 29/8
11/4 + 7/8 = 29/8

Hence,
11/4 plus 7/8 in fraction is 29/8