1/4 + 2/65 as a fraction

Learn how to find what is 1/4 plus 2/65 in fraction form just in a few minutes. We have covered the easiest method to write 1/4 + 2/65 as a fraction and decimal.

Summary: 1/4 plus 2/65 = 73/260
Since both fractions have unequal denominators, 1/4 plus 2/65 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/4 and fraction 2/65 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 65. 260 is the LCM of 4 and 65. Multiplying the LCM 260 with the numerators and denominators of both fractions (1/4 x 260/260) + (2/65 x 260/260), and simplify further in order to have the common denominator. So the equivalent fraction for 1/4 is 65/260 and for 2/65 is 8/260. By simplifying this fraction addition 65/260 + 8/260, it becomes 73/260.

Pie Chart Representation: 1/4 + 2/65 = 73/260

CALCULATION: 1/4 + 2/65 as a fraction
1/4 + 2/65 = (?)
1/4 + 2/65 = [(1 x 65) + (2 x 4)]/(4 x 65)
= (65 + 8)/260
= 73/260
1/4 + 2/65 = 73/260
1/4 plus 2/65 as a fraction is 73/260.

where
1/4 is a proper fraction as an addend,
2/65 is a proper fraction as an addend,
73/260 is the sum of 1/4 and 2/65.

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1/4 plus 2/65 as a decimal
1/4 + 2/65 = 73/260
73/260 = 0.2808
(1/4) + (2/65) as a decimal is 0.2808

where
0.2808 is the sum of 1/4 and 2/65.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/4 and 2/65 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/4 plus 2/65 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/4) + (2/65) using LCM Method:
What is 1/4 plus 2/65 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/4
Fraction B: 2/65

What to be found?
(1/4) + (2/65) = ?
Find what's the sum of 1/4 and 2/65.

step 2 Compare the denominators of fractions 1/4 and 2/65 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/4 and 2/65 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 2/65:
The LCM of 4 and 65 is 260.

step 4 Write the fractions 1/4 and 2/65 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/4 + 2/65
= [(1 x 260)/(4 x 260)] + [(2 x 260)/(65 x 260)]

step 5 Simplify the expression to have common denominator:
= 65/260 + 8/260

step 6 Take the common values out and rewrite the above expression like the below:
= 1/260 x (65/1 + 8/1)
= 1/260 x (65 + 8)

step 7Simplify the above expression further:
= 1/260 x 73
= 73/260
1/4 + 2/65 = 73/260

Hence,
1/4 plus 2/65 as a fraction is 73/260.

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1/4 + 2/65 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/4
Fraction B: 2/65

What to be found?
(1/4)+(2/65) = ?
Find what's the sum of 1/4 and 2/65.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 65), 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 65) and rewrite the equation as like the below:
= (1 x 65) + (2 x 4)/(4 x 65)

step 3 Simplify and rewrite the fraction:
= (65 + 8)/260
1/4 + 2/65 = 73/260

Hence,
1/4 plus 2/65 in fraction is 73/260