What is 17/8 + 6 in fraction?
17/8 + 6 equals to 65/8 in fraction form.
Learn how to find what is 17/8 plus 6 in fraction form just in a few minutes. We have covered the easiest method to write 17/8 + 6 as a fraction and decimal.
Summary: 17/8 plus 6 = 65/8
Since both fractions have unequal denominators, 17/8 plus 6 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 17/8 and fraction 6 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 1. 8 is the LCM of 8 and 1. Multiplying the LCM 8 with the numerators and denominators of both fractions (17/8 x 8/8) + (6 x 8/8), and simplify further in order to have the common denominator. So the equivalent fraction for 17/8 is 17/8 and for 6 is 48/8. By simplifying this fraction addition 17/8 + 48/8, it becomes 65/8.
The below workout with step by step calculation shows how to find the equivalent fraction between 17/8 and 6 by adding fraction to a whole number . The sum in fraction form for 17/8 plus 6/1 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
(17/8) + (6) using LCM Method:
What is 17/8 plus 6 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/8
Fraction B: 6/1
What to be found?
(17/8) + (6) = ?
Find what's the sum of 17/8 and 6.
step 2 Compare the denominators of fractions 17/8 and 6 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 17/8 and 6 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 6:
The LCM of 8 and 1 is 8.
step 4 Write the fractions 17/8 and 6 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 17/8 + 6
= [(17 x 8)/(8 x 8)] + [(6 x 8)/(1 x 8)]
step 5 Simplify the expression to have common denominator:
= 17/8 + 48/8
step 6 Take the common values out and rewrite the above expression like the below:
= 1/8 x (17/1 + 48/1)
= 1/8 x (17 + 48)
step 7Simplify the above expression further:
= 1/8 x 65
= 65/8
17/8 + 6 = 65/8
Hence,
17/8 plus 6 as a fraction is 65/8.
17/8 + 6 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/8
Fraction B: 6/1
What to be found?
(17/8)+(6) = ?
Find what's the sum of 17/8 and 6.
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 (6 x 8), and find the product of both denominators of Fraction A and Fraction B (8 x 1) and rewrite the equation as like the below:
= (17 x 1) + (6 x 8)/(8 x 1)
step 3 Simplify and rewrite the fraction:
= (17 + 48)/8
17/8 + 6 = 65/8
Hence,
17/8 plus 6 in fraction is 65/8