1/4 + 2/89 as a fraction

Learn how to find what is 1/4 plus 2/89 in fraction form just in a few minutes. We have covered the easiest method to write 1/4 + 2/89 as a fraction and decimal.

Summary: 1/4 plus 2/89 = 97/356
Since both fractions have unequal denominators, 1/4 plus 2/89 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/4 and fraction 2/89 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 89. 356 is the LCM of 4 and 89. Multiplying the LCM 356 with the numerators and denominators of both fractions (1/4 x 356/356) + (2/89 x 356/356), and simplify further in order to have the common denominator. So the equivalent fraction for 1/4 is 89/356 and for 2/89 is 8/356. By simplifying this fraction addition 89/356 + 8/356, it becomes 97/356.

Pie Chart Representation: 1/4 + 2/89 = 97/356

CALCULATION: 1/4 + 2/89 as a fraction
1/4 + 2/89 = (?)
1/4 + 2/89 = [(1 x 89) + (2 x 4)]/(4 x 89)
= (89 + 8)/356
= 97/356
1/4 + 2/89 = 97/356
1/4 plus 2/89 as a fraction is 97/356.

where
1/4 is a proper fraction as an addend,
2/89 is a proper fraction as an addend,
97/356 is the sum of 1/4 and 2/89.

---

1/4 plus 2/89 as a decimal
1/4 + 2/89 = 97/356
97/356 = 0.2725
(1/4) + (2/89) as a decimal is 0.2725

where
0.2725 is the sum of 1/4 and 2/89.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/4 and 2/89 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/4 plus 2/89 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/4) + (2/89) using LCM Method:
What is 1/4 plus 2/89 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/4
Fraction B: 2/89

What to be found?
(1/4) + (2/89) = ?
Find what's the sum of 1/4 and 2/89.

step 2 Compare the denominators of fractions 1/4 and 2/89 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/4 and 2/89 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 1/4 and 2/89:
The LCM of 4 and 89 is 356.

step 4 Write the fractions 1/4 and 2/89 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/4 + 2/89
= [(1 x 356)/(4 x 356)] + [(2 x 356)/(89 x 356)]

step 5 Simplify the expression to have common denominator:
= 89/356 + 8/356

step 6 Take the common values out and rewrite the above expression like the below:
= 1/356 x (89/1 + 8/1)
= 1/356 x (89 + 8)

step 7Simplify the above expression further:
= 1/356 x 97
= 97/356
1/4 + 2/89 = 97/356

Hence,
1/4 plus 2/89 as a fraction is 97/356.

---

1/4 + 2/89 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/4
Fraction B: 2/89

What to be found?
(1/4)+(2/89) = ?
Find what's the sum of 1/4 and 2/89.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 89), find the product of numerator of Fraction B and denominator of Fraction A (2 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 89) and rewrite the equation as like the below:
= (1 x 89) + (2 x 4)/(4 x 89)

step 3 Simplify and rewrite the fraction:
= (89 + 8)/356
1/4 + 2/89 = 97/356

Hence,
1/4 plus 2/89 in fraction is 97/356