3/16 + 11 as a fraction

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

Summary: 3/16 plus 11 = 179/16
Since both fractions have unequal denominators, 3/16 plus 11 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 3/16 and fraction 11 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 16 and 1. 16 is the LCM of 16 and 1. Multiplying the LCM 16 with the numerators and denominators of both fractions (3/16 x 16/16) + (11 x 16/16), and simplify further in order to have the common denominator. So the equivalent fraction for 3/16 is 3/16 and for 11 is 176/16. By simplifying this fraction addition 3/16 + 176/16, it becomes 179/16.

CALCULATION: 3/16 + 11 as a fraction
3/16 + 11 = (?)
3/16 + 11/1 = [(3 x 1) + (11 x 16)]/(16 x 1)
= (3 + 176)/16
= 179/16
3/16 + 11 = 179/16
3/16 plus 11 as a fraction is 179/16.

where
3/16 is a proper fraction as an addend,
11 is a whole number as an addend,
179/16 is the sum of 3/16 and 11.

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3/16 plus 11 as a decimal
3/16 + 11 = 179/16
179/16 = 11.1875
(3/16) + (11) as a decimal is 11.1875

where
11.1875 is the sum of 3/16 and 11.

The below workout with step by step calculation shows how to find the equivalent fraction between 3/16 and 11 by adding fraction to a whole number . The sum in fraction form for 3/16 plus 11/1 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

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

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

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

step 2 Compare the denominators of fractions 3/16 and 11 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 3/16 and 11 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 3/16 and 11:
The LCM of 16 and 1 is 16.

step 4 Write the fractions 3/16 and 11 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 3/16 + 11
= [(3 x 16)/(16 x 16)] + [(11 x 16)/(1 x 16)]

step 5 Simplify the expression to have common denominator:
= 3/16 + 176/16

step 6 Take the common values out and rewrite the above expression like the below:
= 1/16 x (3/1 + 176/1)
= 1/16 x (3 + 176)

step 7Simplify the above expression further:
= 1/16 x 179
= 179/16
3/16 + 11 = 179/16

Hence,
3/16 plus 11 as a fraction is 179/16.

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

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

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 (11 x 16), and find the product of both denominators of Fraction A and Fraction B (16 x 1) and rewrite the equation as like the below:
= (3 x 1) + (11 x 16)/(16 x 1)

step 3 Simplify and rewrite the fraction:
= (3 + 176)/16
3/16 + 11 = 179/16

Hence,
3/16 plus 11 in fraction is 179/16