What is 6/1 + 5/17 in fraction?
6/1 + 5/17 equals to 107/17 in fraction form.
Learn how to find what is 6/1 plus 5/17 in fraction form just in a few minutes. We have covered the easiest method to write 6/1 + 5/17 as a fraction and decimal.
Summary: 6/1 plus 5/17 = 107/17
Since both fractions have unequal denominators, 6/1 plus 5/17 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 6/1 and fraction 5/17 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 1 and 17. 17 is the LCM of 1 and 17. Multiplying the LCM 17 with the numerators and denominators of both fractions (6/1 x 17/17) + (5/17 x 17/17), and simplify further in order to have the common denominator. So the equivalent fraction for 6/1 is 102/17 and for 5/17 is 5/17. By simplifying this fraction addition 102/17 + 5/17, it becomes 107/17.
The below workout with step by step calculation shows how to find the equivalent fraction between 6/1 and 5/17 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 6/1 plus 5/17 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
(6/1) + (5/17) using LCM Method:
What is 6/1 plus 5/17 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 6/1
Fraction B: 5/17
What to be found?
(6/1) + (5/17) = ?
Find what's the sum of 6/1 and 5/17.
step 2 Compare the denominators of fractions 6/1 and 5/17 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 6/1 and 5/17 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 6/1 and 5/17:
The LCM of 1 and 17 is 17.
step 4 Write the fractions 6/1 and 5/17 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 6/1 + 5/17
= [(6 x 17)/(1 x 17)] + [(5 x 17)/(17 x 17)]
step 5 Simplify the expression to have common denominator:
= 102/17 + 5/17
step 6 Take the common values out and rewrite the above expression like the below:
= 1/17 x (102/1 + 5/1)
= 1/17 x (102 + 5)
step 7Simplify the above expression further:
= 1/17 x 107
= 107/17
6/1 + 5/17 = 107/17
Hence,
6/1 plus 5/17 as a fraction is 107/17.
6/1 + 5/17 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 6/1
Fraction B: 5/17
What to be found?
(6/1)+(5/17) = ?
Find what's the sum of 6/1 and 5/17.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (6 x 17), find the product of numerator of Fraction B and denominator of Fraction A (5 x 1), and find the product of both denominators of Fraction A and Fraction B (1 x 17) and rewrite the equation as like the below:
= (6 x 17) + (5 x 1)/(1 x 17)
step 3 Simplify and rewrite the fraction:
= (102 + 5)/17
6/1 + 5/17 = 107/17
Hence,
6/1 plus 5/17 in fraction is 107/17