1/3 + 2/51 as a fraction

Learn how to find what is 1/3 plus 2/51 in fraction form just in a few minutes. We have covered the easiest method to write 1/3 + 2/51 as a fraction and decimal.

Summary: 1/3 plus 2/51 = 19/51
Since both fractions have unequal denominators, 1/3 plus 2/51 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/3 and fraction 2/51 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 51. 51 is the LCM of 3 and 51. Multiplying the LCM 51 with the numerators and denominators of both fractions (1/3 x 51/51) + (2/51 x 51/51), and simplify further in order to have the common denominator. So the equivalent fraction for 1/3 is 17/51 and for 2/51 is 2/51. By simplifying this fraction addition 17/51 + 2/51, it becomes 19/51.

Pie Chart Representation: 1/3 + 2/51 = 19/51

CALCULATION: 1/3 + 2/51 as a fraction
1/3 + 2/51 = (?)
1/3 + 2/51 = [(1 x 51) + (2 x 3)]/(3 x 51)
= (51 + 6)/153
= 57/153
= (3 x 19)/(3 x 51)
= 19/51
1/3 + 2/51 = 19/51
1/3 plus 2/51 as a fraction is 19/51.

where
1/3 is a proper fraction as an addend,
2/51 is a proper fraction as an addend,
19/51 is the sum of 1/3 and 2/51.

---

1/3 plus 2/51 as a decimal
1/3 + 2/51 = 19/51
19/51 = 0.3725
(1/3) + (2/51) as a decimal is 0.3725

where
0.3725 is the sum of 1/3 and 2/51.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/3 and 2/51 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/3 plus 2/51 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/3) + (2/51) using LCM Method:
What is 1/3 plus 2/51 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 2/51

What to be found?
(1/3) + (2/51) = ?
Find what's the sum of 1/3 and 2/51.

step 2 Compare the denominators of fractions 1/3 and 2/51 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/3 and 2/51 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 1/3 and 2/51:
The LCM of 3 and 51 is 51.

step 4 Write the fractions 1/3 and 2/51 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/3 + 2/51
= [(1 x 51)/(3 x 51)] + [(2 x 51)/(51 x 51)]

step 5 Simplify the expression to have common denominator:
= 17/51 + 2/51

step 6 Take the common values out and rewrite the above expression like the below:
= 1/51 x (17/1 + 2/1)
= 1/51 x (17 + 2)

step 7Simplify the above expression further:
= 1/51 x 19
= 19/51
1/3 + 2/51 = 19/51

Hence,
1/3 plus 2/51 as a fraction is 19/51.

---

1/3 + 2/51 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 2/51

What to be found?
(1/3)+(2/51) = ?
Find what's the sum of 1/3 and 2/51.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 51), find the product of numerator of Fraction B and denominator of Fraction A (2 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 51) and rewrite the equation as like the below:
= (1 x 51) + (2 x 3)/(3 x 51)

step 3 Simplify and rewrite the fraction:
= (51 + 6)/153
= 57/153
= 19/51
1/3 + 2/51 = 19/51

Hence,
1/3 plus 2/51 in fraction is 19/51