What is 2/9 + 1/89 in fraction?
2/9 + 1/89 equals to 187/801 in fraction form.
Learn how to find what is 2/9 plus 1/89 in fraction form just in a few minutes. We have covered the easiest method to write 2/9 + 1/89 as a fraction and decimal.
Summary: 2/9 plus 1/89 = 187/801
Since both fractions have unequal denominators, 2/9 plus 1/89 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/9 and fraction 1/89 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 89. 801 is the LCM of 9 and 89. Multiplying the LCM 801 with the numerators and denominators of both fractions (2/9 x 801/801) + (1/89 x 801/801), and simplify further in order to have the common denominator. So the equivalent fraction for 2/9 is 178/801 and for 1/89 is 9/801. By simplifying this fraction addition 178/801 + 9/801, it becomes 187/801.
Pie Chart Representation: 2/9 + 1/89 = 187/801
The below workout with step by step calculation shows how to find the equivalent fraction between 2/9 and 1/89 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/9 plus 1/89 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
(2/9) + (1/89) using LCM Method:
What is 2/9 plus 1/89 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/9
Fraction B: 1/89
What to be found?
(2/9) + (1/89) = ?
Find what's the sum of 2/9 and 1/89.
step 2 Compare the denominators of fractions 2/9 and 1/89 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/9 and 1/89 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 1/89:
The LCM of 9 and 89 is 801.
step 4 Write the fractions 2/9 and 1/89 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/9 + 1/89
= [(2 x 801)/(9 x 801)] + [(1 x 801)/(89 x 801)]
step 5 Simplify the expression to have common denominator:
= 178/801 + 9/801
step 6 Take the common values out and rewrite the above expression like the below:
= 1/801 x (178/1 + 9/1)
= 1/801 x (178 + 9)
step 7Simplify the above expression further:
= 1/801 x 187
= 187/801
2/9 + 1/89 = 187/801
Hence,
2/9 plus 1/89 as a fraction is 187/801.
2/9 + 1/89 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/9
Fraction B: 1/89
What to be found?
(2/9)+(1/89) = ?
Find what's the sum of 2/9 and 1/89.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 89), 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 89) and rewrite the equation as like the below:
= (2 x 89) + (1 x 9)/(9 x 89)
step 3 Simplify and rewrite the fraction:
= (178 + 9)/801
2/9 + 1/89 = 187/801
Hence,
2/9 plus 1/89 in fraction is 187/801