1/9 + 2/43 as a fraction

Learn how to find what is 1/9 plus 2/43 in fraction form just in a few minutes. We have covered the easiest method to write 1/9 + 2/43 as a fraction and decimal.

Summary: 1/9 plus 2/43 = 61/387
Since both fractions have unequal denominators, 1/9 plus 2/43 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/9 and fraction 2/43 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 43. 387 is the LCM of 9 and 43. Multiplying the LCM 387 with the numerators and denominators of both fractions (1/9 x 387/387) + (2/43 x 387/387), and simplify further in order to have the common denominator. So the equivalent fraction for 1/9 is 43/387 and for 2/43 is 18/387. By simplifying this fraction addition 43/387 + 18/387, it becomes 61/387.

Pie Chart Representation: 1/9 + 2/43 = 61/387

CALCULATION: 1/9 + 2/43 as a fraction
1/9 + 2/43 = (?)
1/9 + 2/43 = [(1 x 43) + (2 x 9)]/(9 x 43)
= (43 + 18)/387
= 61/387
1/9 + 2/43 = 61/387
1/9 plus 2/43 as a fraction is 61/387.

where
1/9 is a proper fraction as an addend,
2/43 is a proper fraction as an addend,
61/387 is the sum of 1/9 and 2/43.

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1/9 plus 2/43 as a decimal
1/9 + 2/43 = 61/387
61/387 = 0.1576
(1/9) + (2/43) as a decimal is 0.1576

where
0.1576 is the sum of 1/9 and 2/43.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/9 and 2/43 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/9 plus 2/43 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/9) + (2/43) using LCM Method:
What is 1/9 plus 2/43 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/9
Fraction B: 2/43

What to be found?
(1/9) + (2/43) = ?
Find what's the sum of 1/9 and 2/43.

step 2 Compare the denominators of fractions 1/9 and 2/43 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/9 and 2/43 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 1/9 and 2/43:
The LCM of 9 and 43 is 387.

step 4 Write the fractions 1/9 and 2/43 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/9 + 2/43
= [(1 x 387)/(9 x 387)] + [(2 x 387)/(43 x 387)]

step 5 Simplify the expression to have common denominator:
= 43/387 + 18/387

step 6 Take the common values out and rewrite the above expression like the below:
= 1/387 x (43/1 + 18/1)
= 1/387 x (43 + 18)

step 7Simplify the above expression further:
= 1/387 x 61
= 61/387
1/9 + 2/43 = 61/387

Hence,
1/9 plus 2/43 as a fraction is 61/387.

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1/9 + 2/43 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/9
Fraction B: 2/43

What to be found?
(1/9)+(2/43) = ?
Find what's the sum of 1/9 and 2/43.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 43), find the product of numerator of Fraction B and denominator of Fraction A (2 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 43) and rewrite the equation as like the below:
= (1 x 43) + (2 x 9)/(9 x 43)

step 3 Simplify and rewrite the fraction:
= (43 + 18)/387
1/9 + 2/43 = 61/387

Hence,
1/9 plus 2/43 in fraction is 61/387