8/1 + 16/11 as a fraction

Learn how to find what is 8/1 plus 16/11 in fraction form just in a few minutes. We have covered the easiest method to write 8/1 + 16/11 as a fraction and decimal.

Summary: 8/1 plus 16/11 = 104/11
Since both fractions have unequal denominators, 8/1 plus 16/11 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 8/1 and fraction 16/11 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 1 and 11. 11 is the LCM of 1 and 11. Multiplying the LCM 11 with the numerators and denominators of both fractions (8/1 x 11/11) + (16/11 x 11/11), and simplify further in order to have the common denominator. So the equivalent fraction for 8/1 is 88/11 and for 16/11 is 16/11. By simplifying this fraction addition 88/11 + 16/11, it becomes 104/11.

CALCULATION: 8/1 + 16/11 as a fraction
8/1 + 16/11 = (?)
8/1 + 16/11 = [(8 x 11) + (16 x 1)]/(1 x 11)
= (88 + 16)/11
= 104/11
8/1 + 16/11 = 104/11
8/1 plus 16/11 as a fraction is 104/11.

where
8/1 is a improper fraction as an addend,
16/11 is a improper fraction as an addend,
104/11 is the sum of 8/1 and 16/11.

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8/1 plus 16/11 as a decimal
8/1 + 16/11 = 104/11
104/11 = 9.4545
(8/1) + (16/11) as a decimal is 9.4545

where
9.4545 is the sum of 8/1 and 16/11.

The below workout with step by step calculation shows how to find the equivalent fraction between 8/1 and 16/11 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 8/1 plus 16/11 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(8/1) + (16/11) using LCM Method:
What is 8/1 plus 16/11 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/1
Fraction B: 16/11

What to be found?
(8/1) + (16/11) = ?
Find what's the sum of 8/1 and 16/11.

step 2 Compare the denominators of fractions 8/1 and 16/11 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 8/1 and 16/11 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 8/1 and 16/11:
The LCM of 1 and 11 is 11.

step 4 Write the fractions 8/1 and 16/11 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 8/1 + 16/11
= [(8 x 11)/(1 x 11)] + [(16 x 11)/(11 x 11)]

step 5 Simplify the expression to have common denominator:
= 88/11 + 16/11

step 6 Take the common values out and rewrite the above expression like the below:
= 1/11 x (88/1 + 16/1)
= 1/11 x (88 + 16)

step 7Simplify the above expression further:
= 1/11 x 104
= 104/11
8/1 + 16/11 = 104/11

Hence,
8/1 plus 16/11 as a fraction is 104/11.

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8/1 + 16/11 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/1
Fraction B: 16/11

What to be found?
(8/1)+(16/11) = ?
Find what's the sum of 8/1 and 16/11.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (8 x 11), find the product of numerator of Fraction B and denominator of Fraction A (16 x 1), and find the product of both denominators of Fraction A and Fraction B (1 x 11) and rewrite the equation as like the below:
= (8 x 11) + (16 x 1)/(1 x 11)

step 3 Simplify and rewrite the fraction:
= (88 + 16)/11
8/1 + 16/11 = 104/11

Hence,
8/1 plus 16/11 in fraction is 104/11