2/5 + 1/89 as a fraction

Learn how to find what is 2/5 plus 1/89 in fraction form just in a few minutes. We have covered the easiest method to write 2/5 + 1/89 as a fraction and decimal.

Summary: 2/5 plus 1/89 = 183/445
Since both fractions have unequal denominators, 2/5 plus 1/89 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/5 and fraction 1/89 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 89. 445 is the LCM of 5 and 89. Multiplying the LCM 445 with the numerators and denominators of both fractions (2/5 x 445/445) + (1/89 x 445/445), and simplify further in order to have the common denominator. So the equivalent fraction for 2/5 is 178/445 and for 1/89 is 5/445. By simplifying this fraction addition 178/445 + 5/445, it becomes 183/445.

Pie Chart Representation: 2/5 + 1/89 = 183/445

CALCULATION: 2/5 + 1/89 as a fraction
2/5 + 1/89 = (?)
2/5 + 1/89 = [(2 x 89) + (1 x 5)]/(5 x 89)
= (178 + 5)/445
= 183/445
2/5 + 1/89 = 183/445
2/5 plus 1/89 as a fraction is 183/445.

where
2/5 is a proper fraction as an addend,
1/89 is a proper fraction as an addend,
183/445 is the sum of 2/5 and 1/89.

---

2/5 plus 1/89 as a decimal
2/5 + 1/89 = 183/445
183/445 = 0.4112
(2/5) + (1/89) as a decimal is 0.4112

where
0.4112 is the sum of 2/5 and 1/89.

The below workout with step by step calculation shows how to find the equivalent fraction between 2/5 and 1/89 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/5 plus 1/89 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(2/5) + (1/89) using LCM Method:
What is 2/5 plus 1/89 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/5
Fraction B: 1/89

What to be found?
(2/5) + (1/89) = ?
Find what's the sum of 2/5 and 1/89.

step 2 Compare the denominators of fractions 2/5 and 1/89 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/5 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 2/5 and 1/89:
The LCM of 5 and 89 is 445.

step 4 Write the fractions 2/5 and 1/89 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/5 + 1/89
= [(2 x 445)/(5 x 445)] + [(1 x 445)/(89 x 445)]

step 5 Simplify the expression to have common denominator:
= 178/445 + 5/445

step 6 Take the common values out and rewrite the above expression like the below:
= 1/445 x (178/1 + 5/1)
= 1/445 x (178 + 5)

step 7Simplify the above expression further:
= 1/445 x 183
= 183/445
2/5 + 1/89 = 183/445

Hence,
2/5 plus 1/89 as a fraction is 183/445.

---

2/5 + 1/89 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/5
Fraction B: 1/89

What to be found?
(2/5)+(1/89) = ?
Find what's the sum of 2/5 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 5), and find the product of both denominators of Fraction A and Fraction B (5 x 89) and rewrite the equation as like the below:
= (2 x 89) + (1 x 5)/(5 x 89)

step 3 Simplify and rewrite the fraction:
= (178 + 5)/445
2/5 + 1/89 = 183/445

Hence,
2/5 plus 1/89 in fraction is 183/445