1/3 + 2/63 as a fraction

Learn how to find what is 1/3 plus 2/63 in fraction form just in a few minutes. We have covered the easiest method to write 1/3 + 2/63 as a fraction and decimal.

Summary: 1/3 plus 2/63 = 23/63
Since both fractions have unequal denominators, 1/3 plus 2/63 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/3 and fraction 2/63 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 63. 63 is the LCM of 3 and 63. Multiplying the LCM 63 with the numerators and denominators of both fractions (1/3 x 63/63) + (2/63 x 63/63), and simplify further in order to have the common denominator. So the equivalent fraction for 1/3 is 21/63 and for 2/63 is 2/63. By simplifying this fraction addition 21/63 + 2/63, it becomes 23/63.

Pie Chart Representation: 1/3 + 2/63 = 23/63

CALCULATION: 1/3 + 2/63 as a fraction
1/3 + 2/63 = (?)
1/3 + 2/63 = [(1 x 63) + (2 x 3)]/(3 x 63)
= (63 + 6)/189
= 69/189
= (3 x 23)/(3 x 63)
= 23/63
1/3 + 2/63 = 23/63
1/3 plus 2/63 as a fraction is 23/63.

where
1/3 is a proper fraction as an addend,
2/63 is a proper fraction as an addend,
23/63 is the sum of 1/3 and 2/63.

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1/3 plus 2/63 as a decimal
1/3 + 2/63 = 23/63
23/63 = 0.3651
(1/3) + (2/63) as a decimal is 0.3651

where
0.3651 is the sum of 1/3 and 2/63.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/3 and 2/63 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/3 plus 2/63 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/3) + (2/63) using LCM Method:
What is 1/3 plus 2/63 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 2/63

What to be found?
(1/3) + (2/63) = ?
Find what's the sum of 1/3 and 2/63.

step 2 Compare the denominators of fractions 1/3 and 2/63 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/3 and 2/63 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 2/63:
The LCM of 3 and 63 is 63.

step 4 Write the fractions 1/3 and 2/63 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/3 + 2/63
= [(1 x 63)/(3 x 63)] + [(2 x 63)/(63 x 63)]

step 5 Simplify the expression to have common denominator:
= 21/63 + 2/63

step 6 Take the common values out and rewrite the above expression like the below:
= 1/63 x (21/1 + 2/1)
= 1/63 x (21 + 2)

step 7Simplify the above expression further:
= 1/63 x 23
= 23/63
1/3 + 2/63 = 23/63

Hence,
1/3 plus 2/63 as a fraction is 23/63.

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1/3 + 2/63 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 2/63

What to be found?
(1/3)+(2/63) = ?
Find what's the sum of 1/3 and 2/63.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 63), 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 63) and rewrite the equation as like the below:
= (1 x 63) + (2 x 3)/(3 x 63)

step 3 Simplify and rewrite the fraction:
= (63 + 6)/189
= 69/189
= 23/63
1/3 + 2/63 = 23/63

Hence,
1/3 plus 2/63 in fraction is 23/63