1/3 + 2/62 as a fraction

Learn how to find what is 1/3 plus 2/62 in fraction form just in a few minutes. We have covered the easiest method to write 1/3 + 2/62 as a fraction and decimal.

Summary: 1/3 plus 2/62 = 34/93
Since both fractions have unequal denominators, 1/3 plus 2/62 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/3 and fraction 2/62 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 62. 186 is the LCM of 3 and 62. Multiplying the LCM 186 with the numerators and denominators of both fractions (1/3 x 186/186) + (2/62 x 186/186), and simplify further in order to have the common denominator. So the equivalent fraction for 1/3 is 62/186 and for 2/62 is 6/186. By simplifying this fraction addition 62/186 + 6/186, it becomes 68/186.

Pie Chart Representation: 1/3 + 2/62 = 34/93

CALCULATION: 1/3 + 2/62 as a fraction
1/3 + 2/62 = (?)
1/3 + 2/62 = [(1 x 62) + (2 x 3)]/(3 x 62)
= (62 + 6)/186
= 68/186
= (2 x 34)/(2 x 93)
= 34/93
1/3 + 2/62 = 34/93
1/3 plus 2/62 as a fraction is 34/93.

where
1/3 is a proper fraction as an addend,
2/62 is a proper fraction as an addend,
34/93 is the sum of 1/3 and 2/62.

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1/3 plus 2/62 as a decimal
1/3 + 2/62 = 34/93
34/93 = 0.3656
(1/3) + (2/62) as a decimal is 0.3656

where
0.3656 is the sum of 1/3 and 2/62.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/3 and 2/62 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/3 plus 2/62 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/3) + (2/62) using LCM Method:
What is 1/3 plus 2/62 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 2/62

What to be found?
(1/3) + (2/62) = ?
Find what's the sum of 1/3 and 2/62.

step 2 Compare the denominators of fractions 1/3 and 2/62 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/3 and 2/62 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 1/3 and 2/62:
The LCM of 3 and 62 is 186.

step 4 Write the fractions 1/3 and 2/62 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/3 + 2/62
= [(1 x 186)/(3 x 186)] + [(2 x 186)/(62 x 186)]

step 5 Simplify the expression to have common denominator:
= 62/186 + 6/186

step 6 Take the common values out and rewrite the above expression like the below:
= 1/186 x (62/1 + 6/1)
= 1/186 x (62 + 6)

step 7Simplify the above expression further:
= 1/186 x 68
= 68/186
= 34/93
1/3 + 2/62 = 34/93

Hence,
1/3 plus 2/62 as a fraction is 34/93.

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1/3 + 2/62 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 2/62

What to be found?
(1/3)+(2/62) = ?
Find what's the sum of 1/3 and 2/62.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 62), find the product of numerator of Fraction B and denominator of Fraction A (2 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 62) and rewrite the equation as like the below:
= (1 x 62) + (2 x 3)/(3 x 62)

step 3 Simplify and rewrite the fraction:
= (62 + 6)/186
= 68/186
= 34/93
1/3 + 2/62 = 34/93

Hence,
1/3 plus 2/62 in fraction is 34/93