1/6 + 2/59 as a fraction

Learn how to find what is 1/6 plus 2/59 in fraction form just in a few minutes. We have covered the easiest method to write 1/6 + 2/59 as a fraction and decimal.

Summary: 1/6 plus 2/59 = 71/354
Since both fractions have unequal denominators, 1/6 plus 2/59 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/6 and fraction 2/59 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 59. 354 is the LCM of 6 and 59. Multiplying the LCM 354 with the numerators and denominators of both fractions (1/6 x 354/354) + (2/59 x 354/354), and simplify further in order to have the common denominator. So the equivalent fraction for 1/6 is 59/354 and for 2/59 is 12/354. By simplifying this fraction addition 59/354 + 12/354, it becomes 71/354.

Pie Chart Representation: 1/6 + 2/59 = 71/354

CALCULATION: 1/6 + 2/59 as a fraction
1/6 + 2/59 = (?)
1/6 + 2/59 = [(1 x 59) + (2 x 6)]/(6 x 59)
= (59 + 12)/354
= 71/354
1/6 + 2/59 = 71/354
1/6 plus 2/59 as a fraction is 71/354.

where
1/6 is a proper fraction as an addend,
2/59 is a proper fraction as an addend,
71/354 is the sum of 1/6 and 2/59.

---

1/6 plus 2/59 as a decimal
1/6 + 2/59 = 71/354
71/354 = 0.2006
(1/6) + (2/59) as a decimal is 0.2006

where
0.2006 is the sum of 1/6 and 2/59.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/6 and 2/59 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/6 plus 2/59 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/6) + (2/59) using LCM Method:
What is 1/6 plus 2/59 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/6
Fraction B: 2/59

What to be found?
(1/6) + (2/59) = ?
Find what's the sum of 1/6 and 2/59.

step 2 Compare the denominators of fractions 1/6 and 2/59 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/6 and 2/59 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 2/59:
The LCM of 6 and 59 is 354.

step 4 Write the fractions 1/6 and 2/59 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/6 + 2/59
= [(1 x 354)/(6 x 354)] + [(2 x 354)/(59 x 354)]

step 5 Simplify the expression to have common denominator:
= 59/354 + 12/354

step 6 Take the common values out and rewrite the above expression like the below:
= 1/354 x (59/1 + 12/1)
= 1/354 x (59 + 12)

step 7Simplify the above expression further:
= 1/354 x 71
= 71/354
1/6 + 2/59 = 71/354

Hence,
1/6 plus 2/59 as a fraction is 71/354.

---

1/6 + 2/59 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/6
Fraction B: 2/59

What to be found?
(1/6)+(2/59) = ?
Find what's the sum of 1/6 and 2/59.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 59), 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 59) and rewrite the equation as like the below:
= (1 x 59) + (2 x 6)/(6 x 59)

step 3 Simplify and rewrite the fraction:
= (59 + 12)/354
1/6 + 2/59 = 71/354

Hence,
1/6 plus 2/59 in fraction is 71/354