2/35 + 1/51 as a fraction

Learn how to find what is 2/35 plus 1/51 in fraction form just in a few minutes. We have covered the easiest method to write 2/35 + 1/51 as a fraction and decimal.

Summary: 2/35 plus 1/51 = 137/1785
Since both fractions have unequal denominators, 2/35 plus 1/51 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/35 and fraction 1/51 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 35 and 51. 1785 is the LCM of 35 and 51. Multiplying the LCM 1785 with the numerators and denominators of both fractions (2/35 x 1785/1785) + (1/51 x 1785/1785), and simplify further in order to have the common denominator. So the equivalent fraction for 2/35 is 102/1785 and for 1/51 is 35/1785. By simplifying this fraction addition 102/1785 + 35/1785, it becomes 137/1785.

Pie Chart Representation: 2/35 + 1/51 = 137/1785

CALCULATION: 2/35 + 1/51 as a fraction
2/35 + 1/51 = (?)
2/35 + 1/51 = [(2 x 51) + (1 x 35)]/(35 x 51)
= (102 + 35)/1785
= 137/1785
2/35 + 1/51 = 137/1785
2/35 plus 1/51 as a fraction is 137/1785.

where
2/35 is a proper fraction as an addend,
1/51 is a proper fraction as an addend,
137/1785 is the sum of 2/35 and 1/51.

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2/35 plus 1/51 as a decimal
2/35 + 1/51 = 137/1785
137/1785 = 0.0768
(2/35) + (1/51) as a decimal is 0.0768

where
0.0768 is the sum of 2/35 and 1/51.

The below workout with step by step calculation shows how to find the equivalent fraction between 2/35 and 1/51 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/35 plus 1/51 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(2/35) + (1/51) using LCM Method:
What is 2/35 plus 1/51 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/35
Fraction B: 1/51

What to be found?
(2/35) + (1/51) = ?
Find what's the sum of 2/35 and 1/51.

step 2 Compare the denominators of fractions 2/35 and 1/51 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/35 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 2/35 and 1/51:
The LCM of 35 and 51 is 1785.

step 4 Write the fractions 2/35 and 1/51 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/35 + 1/51
= [(2 x 1785)/(35 x 1785)] + [(1 x 1785)/(51 x 1785)]

step 5 Simplify the expression to have common denominator:
= 102/1785 + 35/1785

step 6 Take the common values out and rewrite the above expression like the below:
= 1/1785 x (102/1 + 35/1)
= 1/1785 x (102 + 35)

step 7Simplify the above expression further:
= 1/1785 x 137
= 137/1785
2/35 + 1/51 = 137/1785

Hence,
2/35 plus 1/51 as a fraction is 137/1785.

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2/35 + 1/51 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/35
Fraction B: 1/51

What to be found?
(2/35)+(1/51) = ?
Find what's the sum of 2/35 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 35), and find the product of both denominators of Fraction A and Fraction B (35 x 51) and rewrite the equation as like the below:
= (2 x 51) + (1 x 35)/(35 x 51)

step 3 Simplify and rewrite the fraction:
= (102 + 35)/1785
2/35 + 1/51 = 137/1785

Hence,
2/35 plus 1/51 in fraction is 137/1785