What is 17/8 + 17/11 in fraction?
17/8 + 17/11 equals to 323/88 in fraction form.
Learn how to find what is 17/8 plus 17/11 in fraction form just in a few minutes. We have covered the easiest method to write 17/8 + 17/11 as a fraction and decimal.
Summary: 17/8 plus 17/11 = 323/88
Since both fractions have unequal denominators, 17/8 plus 17/11 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 17/8 and fraction 17/11 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 11. 88 is the LCM of 8 and 11. Multiplying the LCM 88 with the numerators and denominators of both fractions (17/8 x 88/88) + (17/11 x 88/88), and simplify further in order to have the common denominator. So the equivalent fraction for 17/8 is 187/88 and for 17/11 is 136/88. By simplifying this fraction addition 187/88 + 136/88, it becomes 323/88.
The below workout with step by step calculation shows how to find the equivalent fraction between 17/8 and 17/11 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 17/8 plus 17/11 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
(17/8) + (17/11) using LCM Method:
What is 17/8 plus 17/11 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/8
Fraction B: 17/11
What to be found?
(17/8) + (17/11) = ?
Find what's the sum of 17/8 and 17/11.
step 2 Compare the denominators of fractions 17/8 and 17/11 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 17/8 and 17/11 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 17/8 and 17/11:
The LCM of 8 and 11 is 88.
step 4 Write the fractions 17/8 and 17/11 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 17/8 + 17/11
= [(17 x 88)/(8 x 88)] + [(17 x 88)/(11 x 88)]
step 5 Simplify the expression to have common denominator:
= 187/88 + 136/88
step 6 Take the common values out and rewrite the above expression like the below:
= 1/88 x (187/1 + 136/1)
= 1/88 x (187 + 136)
step 7Simplify the above expression further:
= 1/88 x 323
= 323/88
17/8 + 17/11 = 323/88
Hence,
17/8 plus 17/11 as a fraction is 323/88.
17/8 + 17/11 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/8
Fraction B: 17/11
What to be found?
(17/8)+(17/11) = ?
Find what's the sum of 17/8 and 17/11.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (17 x 11), find the product of numerator of Fraction B and denominator of Fraction A (17 x 8), and find the product of both denominators of Fraction A and Fraction B (8 x 11) and rewrite the equation as like the below:
= (17 x 11) + (17 x 8)/(8 x 11)
step 3 Simplify and rewrite the fraction:
= (187 + 136)/88
17/8 + 17/11 = 323/88
Hence,
17/8 plus 17/11 in fraction is 323/88