17/7 + 11 as a fraction

Learn how to find what is 17/7 plus 11 in fraction form just in a few minutes. We have covered the easiest method to write 17/7 + 11 as a fraction and decimal.

Summary: 17/7 plus 11 = 94/7
Since both fractions have unequal denominators, 17/7 plus 11 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 17/7 and fraction 11 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 1. 7 is the LCM of 7 and 1. Multiplying the LCM 7 with the numerators and denominators of both fractions (17/7 x 7/7) + (11 x 7/7), and simplify further in order to have the common denominator. So the equivalent fraction for 17/7 is 17/7 and for 11 is 77/7. By simplifying this fraction addition 17/7 + 77/7, it becomes 94/7.

CALCULATION: 17/7 + 11 as a fraction
17/7 + 11 = (?)
17/7 + 11/1 = [(17 x 1) + (11 x 7)]/(7 x 1)
= (17 + 77)/7
= 94/7
17/7 + 11 = 94/7
17/7 plus 11 as a fraction is 94/7.

where
17/7 is a improper fraction as an addend,
11 is a whole number as an addend,
94/7 is the sum of 17/7 and 11.

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17/7 plus 11 as a decimal
17/7 + 11 = 94/7
94/7 = 13.4286
(17/7) + (11) as a decimal is 13.4286

where
13.4286 is the sum of 17/7 and 11.

The below workout with step by step calculation shows how to find the equivalent fraction between 17/7 and 11 by adding fraction to a whole number . The sum in fraction form for 17/7 plus 11/1 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(17/7) + (11) using LCM Method:
What is 17/7 plus 11 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/7
Fraction B: 11/1

What to be found?
(17/7) + (11) = ?
Find what's the sum of 17/7 and 11.

step 2 Compare the denominators of fractions 17/7 and 11 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 17/7 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 17/7 and 11:
The LCM of 7 and 1 is 7.

step 4 Write the fractions 17/7 and 11 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 17/7 + 11
= [(17 x 7)/(7 x 7)] + [(11 x 7)/(1 x 7)]

step 5 Simplify the expression to have common denominator:
= 17/7 + 77/7

step 6 Take the common values out and rewrite the above expression like the below:
= 1/7 x (17/1 + 77/1)
= 1/7 x (17 + 77)

step 7Simplify the above expression further:
= 1/7 x 94
= 94/7
17/7 + 11 = 94/7

Hence,
17/7 plus 11 as a fraction is 94/7.

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17/7 + 11 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/7
Fraction B: 11/1

What to be found?
(17/7)+(11) = ?
Find what's the sum of 17/7 and 11.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (17 x 1), find the product of numerator of Fraction B and denominator of Fraction A (11 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 1) and rewrite the equation as like the below:
= (17 x 1) + (11 x 7)/(7 x 1)

step 3 Simplify and rewrite the fraction:
= (17 + 77)/7
17/7 + 11 = 94/7

Hence,
17/7 plus 11 in fraction is 94/7