What is 1/6 + 2/85 in fraction?
1/6 + 2/85 equals to 97/510 in fraction form.
Learn how to find what is 1/6 plus 2/85 in fraction form just in a few minutes. We have covered the easiest method to write 1/6 + 2/85 as a fraction and decimal.
Summary: 1/6 plus 2/85 = 97/510
Since both fractions have unequal denominators, 1/6 plus 2/85 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/6 and fraction 2/85 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 85. 510 is the LCM of 6 and 85. Multiplying the LCM 510 with the numerators and denominators of both fractions (1/6 x 510/510) + (2/85 x 510/510), and simplify further in order to have the common denominator. So the equivalent fraction for 1/6 is 85/510 and for 2/85 is 12/510. By simplifying this fraction addition 85/510 + 12/510, it becomes 97/510.
Pie Chart Representation: 1/6 + 2/85 = 97/510
The below workout with step by step calculation shows how to find the equivalent fraction between 1/6 and 2/85 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/6 plus 2/85 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
(1/6) + (2/85) using LCM Method:
What is 1/6 plus 2/85 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/6
Fraction B: 2/85
What to be found?
(1/6) + (2/85) = ?
Find what's the sum of 1/6 and 2/85.
step 2 Compare the denominators of fractions 1/6 and 2/85 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/6 and 2/85 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 1/6 and 2/85:
The LCM of 6 and 85 is 510.
step 4 Write the fractions 1/6 and 2/85 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/6 + 2/85
= [(1 x 510)/(6 x 510)] + [(2 x 510)/(85 x 510)]
step 5 Simplify the expression to have common denominator:
= 85/510 + 12/510
step 6 Take the common values out and rewrite the above expression like the below:
= 1/510 x (85/1 + 12/1)
= 1/510 x (85 + 12)
step 7Simplify the above expression further:
= 1/510 x 97
= 97/510
1/6 + 2/85 = 97/510
Hence,
1/6 plus 2/85 as a fraction is 97/510.
1/6 + 2/85 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/6
Fraction B: 2/85
What to be found?
(1/6)+(2/85) = ?
Find what's the sum of 1/6 and 2/85.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 85), find the product of numerator of Fraction B and denominator of Fraction A (2 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 85) and rewrite the equation as like the below:
= (1 x 85) + (2 x 6)/(6 x 85)
step 3 Simplify and rewrite the fraction:
= (85 + 12)/510
1/6 + 2/85 = 97/510
Hence,
1/6 plus 2/85 in fraction is 97/510