2/5 + 1/33 as a fraction

Learn how to find what is 2/5 plus 1/33 in fraction form just in a few minutes. We have covered the easiest method to write 2/5 + 1/33 as a fraction and decimal.

Summary: 2/5 plus 1/33 = 71/165
Since both fractions have unequal denominators, 2/5 plus 1/33 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/5 and fraction 1/33 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 33. 165 is the LCM of 5 and 33. Multiplying the LCM 165 with the numerators and denominators of both fractions (2/5 x 165/165) + (1/33 x 165/165), and simplify further in order to have the common denominator. So the equivalent fraction for 2/5 is 66/165 and for 1/33 is 5/165. By simplifying this fraction addition 66/165 + 5/165, it becomes 71/165.

Pie Chart Representation: 2/5 + 1/33 = 71/165

CALCULATION: 2/5 + 1/33 as a fraction
2/5 + 1/33 = (?)
2/5 + 1/33 = [(2 x 33) + (1 x 5)]/(5 x 33)
= (66 + 5)/165
= 71/165
2/5 + 1/33 = 71/165
2/5 plus 1/33 as a fraction is 71/165.

where
2/5 is a proper fraction as an addend,
1/33 is a proper fraction as an addend,
71/165 is the sum of 2/5 and 1/33.

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2/5 plus 1/33 as a decimal
2/5 + 1/33 = 71/165
71/165 = 0.4303
(2/5) + (1/33) as a decimal is 0.4303

where
0.4303 is the sum of 2/5 and 1/33.

The below workout with step by step calculation shows how to find the equivalent fraction between 2/5 and 1/33 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/5 plus 1/33 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(2/5) + (1/33) using LCM Method:
What is 2/5 plus 1/33 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/5
Fraction B: 1/33

What to be found?
(2/5) + (1/33) = ?
Find what's the sum of 2/5 and 1/33.

step 2 Compare the denominators of fractions 2/5 and 1/33 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/5 and 1/33 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 1/33:
The LCM of 5 and 33 is 165.

step 4 Write the fractions 2/5 and 1/33 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/5 + 1/33
= [(2 x 165)/(5 x 165)] + [(1 x 165)/(33 x 165)]

step 5 Simplify the expression to have common denominator:
= 66/165 + 5/165

step 6 Take the common values out and rewrite the above expression like the below:
= 1/165 x (66/1 + 5/1)
= 1/165 x (66 + 5)

step 7Simplify the above expression further:
= 1/165 x 71
= 71/165
2/5 + 1/33 = 71/165

Hence,
2/5 plus 1/33 as a fraction is 71/165.

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2/5 + 1/33 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/5
Fraction B: 1/33

What to be found?
(2/5)+(1/33) = ?
Find what's the sum of 2/5 and 1/33.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 33), 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 33) and rewrite the equation as like the below:
= (2 x 33) + (1 x 5)/(5 x 33)

step 3 Simplify and rewrite the fraction:
= (66 + 5)/165
2/5 + 1/33 = 71/165

Hence,
2/5 plus 1/33 in fraction is 71/165