11/4 + 10 as a fraction

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

Summary: 11/4 plus 10 = 51/4
Since both fractions have unequal denominators, 11/4 plus 10 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 11/4 and fraction 10 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 (11/4 x 4/4) + (10 x 4/4), and simplify further in order to have the common denominator. So the equivalent fraction for 11/4 is 11/4 and for 10 is 40/4. By simplifying this fraction addition 11/4 + 40/4, it becomes 51/4.

CALCULATION: 11/4 + 10 as a fraction
11/4 + 10 = (?)
11/4 + 10/1 = [(11 x 1) + (10 x 4)]/(4 x 1)
= (11 + 40)/4
= 51/4
11/4 + 10 = 51/4
11/4 plus 10 as a fraction is 51/4.

where
11/4 is a improper fraction as an addend,
10 is a whole number as an addend,
51/4 is the sum of 11/4 and 10.

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11/4 plus 10 as a decimal
11/4 + 10 = 51/4
51/4 = 12.75
(11/4) + (10) as a decimal is 12.75

where
12.75 is the sum of 11/4 and 10.

The below workout with step by step calculation shows how to find the equivalent fraction between 11/4 and 10 by adding fraction to a whole number . The sum in fraction form for 11/4 plus 10/1 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

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

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

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

step 2 Compare the denominators of fractions 11/4 and 10 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 11/4 and 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 10:
The LCM of 4 and 1 is 4.

step 4 Write the fractions 11/4 and 10 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 11/4 + 10
= [(11 x 4)/(4 x 4)] + [(10 x 4)/(1 x 4)]

step 5 Simplify the expression to have common denominator:
= 11/4 + 40/4

step 6 Take the common values out and rewrite the above expression like the below:
= 1/4 x (11/1 + 40/1)
= 1/4 x (11 + 40)

step 7Simplify the above expression further:
= 1/4 x 51
= 51/4
11/4 + 10 = 51/4

Hence,
11/4 plus 10 as a fraction is 51/4.

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

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

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (11 x 1), find the product of numerator of Fraction B and denominator of Fraction A (10 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:
= (11 x 1) + (10 x 4)/(4 x 1)

step 3 Simplify and rewrite the fraction:
= (11 + 40)/4
11/4 + 10 = 51/4

Hence,
11/4 plus 10 in fraction is 51/4