1/2 + 2/64 as a fraction

Learn how to find what is 1/2 plus 2/64 in fraction form just in a few minutes. We have covered the easiest method to write 1/2 + 2/64 as a fraction and decimal.

Summary: 1/2 plus 2/64 = 17/32
Since both fractions have unequal denominators, 1/2 plus 2/64 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/2 and fraction 2/64 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 64. 64 is the LCM of 2 and 64. Multiplying the LCM 64 with the numerators and denominators of both fractions (1/2 x 64/64) + (2/64 x 64/64), and simplify further in order to have the common denominator. So the equivalent fraction for 1/2 is 32/64 and for 2/64 is 2/64. By simplifying this fraction addition 32/64 + 2/64, it becomes 34/64.

Pie Chart Representation: 1/2 + 2/64 = 17/32

CALCULATION: 1/2 + 2/64 as a fraction
1/2 + 2/64 = (?)
1/2 + 2/64 = [(1 x 64) + (2 x 2)]/(2 x 64)
= (64 + 4)/128
= 68/128
= (4 x 17)/(4 x 32)
= 17/32
1/2 + 2/64 = 17/32
1/2 plus 2/64 as a fraction is 17/32.

where
1/2 is a proper fraction as an addend,
2/64 is a proper fraction as an addend,
17/32 is the sum of 1/2 and 2/64.

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1/2 plus 2/64 as a decimal
1/2 + 2/64 = 17/32
17/32 = 0.5313
(1/2) + (2/64) as a decimal is 0.5313

where
0.5313 is the sum of 1/2 and 2/64.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/2 and 2/64 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/2 plus 2/64 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/2) + (2/64) using LCM Method:
What is 1/2 plus 2/64 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/2
Fraction B: 2/64

What to be found?
(1/2) + (2/64) = ?
Find what's the sum of 1/2 and 2/64.

step 2 Compare the denominators of fractions 1/2 and 2/64 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/2 and 2/64 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 1/2 and 2/64:
The LCM of 2 and 64 is 64.

step 4 Write the fractions 1/2 and 2/64 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/2 + 2/64
= [(1 x 64)/(2 x 64)] + [(2 x 64)/(64 x 64)]

step 5 Simplify the expression to have common denominator:
= 32/64 + 2/64

step 6 Take the common values out and rewrite the above expression like the below:
= 1/64 x (32/1 + 2/1)
= 1/64 x (32 + 2)

step 7Simplify the above expression further:
= 1/64 x 34
= 34/64
= 17/32
1/2 + 2/64 = 17/32

Hence,
1/2 plus 2/64 as a fraction is 17/32.

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1/2 + 2/64 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/2
Fraction B: 2/64

What to be found?
(1/2)+(2/64) = ?
Find what's the sum of 1/2 and 2/64.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 64), find the product of numerator of Fraction B and denominator of Fraction A (2 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 64) and rewrite the equation as like the below:
= (1 x 64) + (2 x 2)/(2 x 64)

step 3 Simplify and rewrite the fraction:
= (64 + 4)/128
= 68/128
= 17/32
1/2 + 2/64 = 17/32

Hence,
1/2 plus 2/64 in fraction is 17/32