1/5 + 2/33 as a fraction

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

Summary: 1/5 plus 2/33 = 43/165
Since both fractions have unequal denominators, 1/5 plus 2/33 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/5 and fraction 2/33 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 (1/5 x 165/165) + (2/33 x 165/165), and simplify further in order to have the common denominator. So the equivalent fraction for 1/5 is 33/165 and for 2/33 is 10/165. By simplifying this fraction addition 33/165 + 10/165, it becomes 43/165.

Pie Chart Representation: 1/5 + 2/33 = 43/165

CALCULATION: 1/5 + 2/33 as a fraction
1/5 + 2/33 = (?)
1/5 + 2/33 = [(1 x 33) + (2 x 5)]/(5 x 33)
= (33 + 10)/165
= 43/165
1/5 + 2/33 = 43/165
1/5 plus 2/33 as a fraction is 43/165.

where
1/5 is a proper fraction as an addend,
2/33 is a proper fraction as an addend,
43/165 is the sum of 1/5 and 2/33.

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1/5 plus 2/33 as a decimal
1/5 + 2/33 = 43/165
43/165 = 0.2606
(1/5) + (2/33) as a decimal is 0.2606

where
0.2606 is the sum of 1/5 and 2/33.

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

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

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

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

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

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

step 5 Simplify the expression to have common denominator:
= 33/165 + 10/165

step 6 Take the common values out and rewrite the above expression like the below:
= 1/165 x (33/1 + 10/1)
= 1/165 x (33 + 10)

step 7Simplify the above expression further:
= 1/165 x 43
= 43/165
1/5 + 2/33 = 43/165

Hence,
1/5 plus 2/33 as a fraction is 43/165.

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

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

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 33), find the product of numerator of Fraction B and denominator of Fraction A (2 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:
= (1 x 33) + (2 x 5)/(5 x 33)

step 3 Simplify and rewrite the fraction:
= (33 + 10)/165
1/5 + 2/33 = 43/165

Hence,
1/5 plus 2/33 in fraction is 43/165