What is 17/6 + 7 in fraction?
17/6 + 7 equals to 59/6 in fraction form.
Learn how to find what is 17/6 plus 7 in fraction form just in a few minutes. We have covered the easiest method to write 17/6 + 7 as a fraction and decimal.
Summary: 17/6 plus 7 = 59/6
Since both fractions have unequal denominators, 17/6 plus 7 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 17/6 and fraction 7 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 1. 6 is the LCM of 6 and 1. Multiplying the LCM 6 with the numerators and denominators of both fractions (17/6 x 6/6) + (7 x 6/6), and simplify further in order to have the common denominator. So the equivalent fraction for 17/6 is 17/6 and for 7 is 42/6. By simplifying this fraction addition 17/6 + 42/6, it becomes 59/6.
The below workout with step by step calculation shows how to find the equivalent fraction between 17/6 and 7 by adding fraction to a whole number . The sum in fraction form for 17/6 plus 7/1 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
(17/6) + (7) using LCM Method:
What is 17/6 plus 7 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/6
Fraction B: 7/1
What to be found?
(17/6) + (7) = ?
Find what's the sum of 17/6 and 7.
step 2 Compare the denominators of fractions 17/6 and 7 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 17/6 and 7 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 17/6 and 7:
The LCM of 6 and 1 is 6.
step 4 Write the fractions 17/6 and 7 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 17/6 + 7
= [(17 x 6)/(6 x 6)] + [(7 x 6)/(1 x 6)]
step 5 Simplify the expression to have common denominator:
= 17/6 + 42/6
step 6 Take the common values out and rewrite the above expression like the below:
= 1/6 x (17/1 + 42/1)
= 1/6 x (17 + 42)
step 7Simplify the above expression further:
= 1/6 x 59
= 59/6
17/6 + 7 = 59/6
Hence,
17/6 plus 7 as a fraction is 59/6.
17/6 + 7 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/6
Fraction B: 7/1
What to be found?
(17/6)+(7) = ?
Find what's the sum of 17/6 and 7.
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 (7 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 1) and rewrite the equation as like the below:
= (17 x 1) + (7 x 6)/(6 x 1)
step 3 Simplify and rewrite the fraction:
= (17 + 42)/6
17/6 + 7 = 59/6
Hence,
17/6 plus 7 in fraction is 59/6