What is 2/7 + 17 in fraction?
2/7 + 17 equals to 121/7 in fraction form.
Learn how to find what is 2/7 plus 17 in fraction form just in a few minutes. We have covered the easiest method to write 2/7 + 17 as a fraction and decimal.
Summary: 2/7 plus 17 = 121/7
Since both fractions have unequal denominators, 2/7 plus 17 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/7 and fraction 17 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 (2/7 x 7/7) + (17 x 7/7), and simplify further in order to have the common denominator. So the equivalent fraction for 2/7 is 2/7 and for 17 is 119/7. By simplifying this fraction addition 2/7 + 119/7, it becomes 121/7.
The below workout with step by step calculation shows how to find the equivalent fraction between 2/7 and 17 by adding fraction to a whole number . The sum in fraction form for 2/7 plus 17/1 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
(2/7) + (17) using LCM Method:
What is 2/7 plus 17 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/7
Fraction B: 17/1
What to be found?
(2/7) + (17) = ?
Find what's the sum of 2/7 and 17.
step 2 Compare the denominators of fractions 2/7 and 17 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/7 and 17 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 2/7 and 17:
The LCM of 7 and 1 is 7.
step 4 Write the fractions 2/7 and 17 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/7 + 17
= [(2 x 7)/(7 x 7)] + [(17 x 7)/(1 x 7)]
step 5 Simplify the expression to have common denominator:
= 2/7 + 119/7
step 6 Take the common values out and rewrite the above expression like the below:
= 1/7 x (2/1 + 119/1)
= 1/7 x (2 + 119)
step 7Simplify the above expression further:
= 1/7 x 121
= 121/7
2/7 + 17 = 121/7
Hence,
2/7 plus 17 as a fraction is 121/7.
2/7 + 17 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/7
Fraction B: 17/1
What to be found?
(2/7)+(17) = ?
Find what's the sum of 2/7 and 17.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 1), find the product of numerator of Fraction B and denominator of Fraction A (17 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:
= (2 x 1) + (17 x 7)/(7 x 1)
step 3 Simplify and rewrite the fraction:
= (2 + 119)/7
2/7 + 17 = 121/7
Hence,
2/7 plus 17 in fraction is 121/7