2/6 + 1/51 as a fraction

Learn how to find what is 2/6 plus 1/51 in fraction form just in a few minutes. We have covered the easiest method to write 2/6 + 1/51 as a fraction and decimal.

Summary: 2/6 plus 1/51 = 6/17
Since both fractions have unequal denominators, 2/6 plus 1/51 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/6 and fraction 1/51 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 51. 102 is the LCM of 6 and 51. Multiplying the LCM 102 with the numerators and denominators of both fractions (2/6 x 102/102) + (1/51 x 102/102), and simplify further in order to have the common denominator. So the equivalent fraction for 2/6 is 34/102 and for 1/51 is 2/102. By simplifying this fraction addition 34/102 + 2/102, it becomes 36/102.

Pie Chart Representation: 2/6 + 1/51 = 6/17

CALCULATION: 2/6 + 1/51 as a fraction
2/6 + 1/51 = (?)
2/6 + 1/51 = [(2 x 51) + (1 x 6)]/(6 x 51)
= (102 + 6)/306
= 108/306
= (18 x 6)/(18 x 17)
= 6/17
2/6 + 1/51 = 6/17
2/6 plus 1/51 as a fraction is 6/17.

where
2/6 is a proper fraction as an addend,
1/51 is a proper fraction as an addend,
6/17 is the sum of 2/6 and 1/51.

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2/6 plus 1/51 as a decimal
2/6 + 1/51 = 6/17
6/17 = 0.3529
(2/6) + (1/51) as a decimal is 0.3529

where
0.3529 is the sum of 2/6 and 1/51.

The below workout with step by step calculation shows how to find the equivalent fraction between 2/6 and 1/51 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/6 plus 1/51 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(2/6) + (1/51) using LCM Method:
What is 2/6 plus 1/51 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/6
Fraction B: 1/51

What to be found?
(2/6) + (1/51) = ?
Find what's the sum of 2/6 and 1/51.

step 2 Compare the denominators of fractions 2/6 and 1/51 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/6 and 1/51 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 2/6 and 1/51:
The LCM of 6 and 51 is 102.

step 4 Write the fractions 2/6 and 1/51 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/6 + 1/51
= [(2 x 102)/(6 x 102)] + [(1 x 102)/(51 x 102)]

step 5 Simplify the expression to have common denominator:
= 34/102 + 2/102

step 6 Take the common values out and rewrite the above expression like the below:
= 1/102 x (34/1 + 2/1)
= 1/102 x (34 + 2)

step 7Simplify the above expression further:
= 1/102 x 36
= 36/102
= 6/17
2/6 + 1/51 = 6/17

Hence,
2/6 plus 1/51 as a fraction is 6/17.

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2/6 + 1/51 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/6
Fraction B: 1/51

What to be found?
(2/6)+(1/51) = ?
Find what's the sum of 2/6 and 1/51.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 51), find the product of numerator of Fraction B and denominator of Fraction A (1 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 51) and rewrite the equation as like the below:
= (2 x 51) + (1 x 6)/(6 x 51)

step 3 Simplify and rewrite the fraction:
= (102 + 6)/306
= 108/306
= 6/17
2/6 + 1/51 = 6/17

Hence,
2/6 plus 1/51 in fraction is 6/17