11/3 + 5/16 as a fraction

Learn how to find what is 11/3 plus 5/16 in fraction form just in a few minutes. We have covered the easiest method to write 11/3 + 5/16 as a fraction and decimal.

Summary: 11/3 plus 5/16 = 191/48
Since both fractions have unequal denominators, 11/3 plus 5/16 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 11/3 and fraction 5/16 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 16. 48 is the LCM of 3 and 16. Multiplying the LCM 48 with the numerators and denominators of both fractions (11/3 x 48/48) + (5/16 x 48/48), and simplify further in order to have the common denominator. So the equivalent fraction for 11/3 is 176/48 and for 5/16 is 15/48. By simplifying this fraction addition 176/48 + 15/48, it becomes 191/48.

CALCULATION: 11/3 + 5/16 as a fraction
11/3 + 5/16 = (?)
11/3 + 5/16 = [(11 x 16) + (5 x 3)]/(3 x 16)
= (176 + 15)/48
= 191/48
11/3 + 5/16 = 191/48
11/3 plus 5/16 as a fraction is 191/48.

where
11/3 is a improper fraction as an addend,
5/16 is a proper fraction as an addend,
191/48 is the sum of 11/3 and 5/16.

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11/3 plus 5/16 as a decimal
11/3 + 5/16 = 191/48
191/48 = 3.9792
(11/3) + (5/16) as a decimal is 3.9792

where
3.9792 is the sum of 11/3 and 5/16.

The below workout with step by step calculation shows how to find the equivalent fraction between 11/3 and 5/16 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 11/3 plus 5/16 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(11/3) + (5/16) using LCM Method:
What is 11/3 plus 5/16 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/3
Fraction B: 5/16

What to be found?
(11/3) + (5/16) = ?
Find what's the sum of 11/3 and 5/16.

step 2 Compare the denominators of fractions 11/3 and 5/16 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 11/3 and 5/16 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 11/3 and 5/16:
The LCM of 3 and 16 is 48.

step 4 Write the fractions 11/3 and 5/16 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 11/3 + 5/16
= [(11 x 48)/(3 x 48)] + [(5 x 48)/(16 x 48)]

step 5 Simplify the expression to have common denominator:
= 176/48 + 15/48

step 6 Take the common values out and rewrite the above expression like the below:
= 1/48 x (176/1 + 15/1)
= 1/48 x (176 + 15)

step 7Simplify the above expression further:
= 1/48 x 191
= 191/48
11/3 + 5/16 = 191/48

Hence,
11/3 plus 5/16 as a fraction is 191/48.

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11/3 + 5/16 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/3
Fraction B: 5/16

What to be found?
(11/3)+(5/16) = ?
Find what's the sum of 11/3 and 5/16.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (11 x 16), find the product of numerator of Fraction B and denominator of Fraction A (5 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 16) and rewrite the equation as like the below:
= (11 x 16) + (5 x 3)/(3 x 16)

step 3 Simplify and rewrite the fraction:
= (176 + 15)/48
11/3 + 5/16 = 191/48

Hence,
11/3 plus 5/16 in fraction is 191/48