2/9 + 1/51 as a fraction

Learn how to find what is 2/9 plus 1/51 in fraction form just in a few minutes. We have covered the easiest method to write 2/9 + 1/51 as a fraction and decimal.

Summary: 2/9 plus 1/51 = 37/153
Since both fractions have unequal denominators, 2/9 plus 1/51 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/9 and fraction 1/51 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 51. 153 is the LCM of 9 and 51. Multiplying the LCM 153 with the numerators and denominators of both fractions (2/9 x 153/153) + (1/51 x 153/153), and simplify further in order to have the common denominator. So the equivalent fraction for 2/9 is 34/153 and for 1/51 is 3/153. By simplifying this fraction addition 34/153 + 3/153, it becomes 37/153.

Pie Chart Representation: 2/9 + 1/51 = 37/153

CALCULATION: 2/9 + 1/51 as a fraction
2/9 + 1/51 = (?)
2/9 + 1/51 = [(2 x 51) + (1 x 9)]/(9 x 51)
= (102 + 9)/459
= 111/459
= (3 x 37)/(3 x 153)
= 37/153
2/9 + 1/51 = 37/153
2/9 plus 1/51 as a fraction is 37/153.

where
2/9 is a proper fraction as an addend,
1/51 is a proper fraction as an addend,
37/153 is the sum of 2/9 and 1/51.

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2/9 plus 1/51 as a decimal
2/9 + 1/51 = 37/153
37/153 = 0.2418
(2/9) + (1/51) as a decimal is 0.2418

where
0.2418 is the sum of 2/9 and 1/51.

The below workout with step by step calculation shows how to find the equivalent fraction between 2/9 and 1/51 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/9 plus 1/51 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(2/9) + (1/51) using LCM Method:
What is 2/9 plus 1/51 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/9
Fraction B: 1/51

What to be found?
(2/9) + (1/51) = ?
Find what's the sum of 2/9 and 1/51.

step 2 Compare the denominators of fractions 2/9 and 1/51 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/9 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 2/9 and 1/51:
The LCM of 9 and 51 is 153.

step 4 Write the fractions 2/9 and 1/51 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/9 + 1/51
= [(2 x 153)/(9 x 153)] + [(1 x 153)/(51 x 153)]

step 5 Simplify the expression to have common denominator:
= 34/153 + 3/153

step 6 Take the common values out and rewrite the above expression like the below:
= 1/153 x (34/1 + 3/1)
= 1/153 x (34 + 3)

step 7Simplify the above expression further:
= 1/153 x 37
= 37/153
2/9 + 1/51 = 37/153

Hence,
2/9 plus 1/51 as a fraction is 37/153.

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2/9 + 1/51 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/9
Fraction B: 1/51

What to be found?
(2/9)+(1/51) = ?
Find what's the sum of 2/9 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 9), and find the product of both denominators of Fraction A and Fraction B (9 x 51) and rewrite the equation as like the below:
= (2 x 51) + (1 x 9)/(9 x 51)

step 3 Simplify and rewrite the fraction:
= (102 + 9)/459
= 111/459
= 37/153
2/9 + 1/51 = 37/153

Hence,
2/9 plus 1/51 in fraction is 37/153