1/2 + 1/34 as a fraction

Learn how to find what is 1/2 plus 1/34 in fraction form just in a few minutes. We have covered the easiest method to write 1/2 + 1/34 as a fraction and decimal.

Summary: 1/2 plus 1/34 = 9/17
Since both fractions have unequal denominators, 1/2 plus 1/34 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/2 and fraction 1/34 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 34. 34 is the LCM of 2 and 34. Multiplying the LCM 34 with the numerators and denominators of both fractions (1/2 x 34/34) + (1/34 x 34/34), and simplify further in order to have the common denominator. So the equivalent fraction for 1/2 is 17/34 and for 1/34 is 1/34. By simplifying this fraction addition 17/34 + 1/34, it becomes 18/34.

Pie Chart Representation: 1/2 + 1/34 = 9/17

CALCULATION: 1/2 + 1/34 as a fraction
1/2 + 1/34 = (?)
1/2 + 1/34 = [(1 x 34) + (1 x 2)]/(2 x 34)
= (34 + 2)/68
= 36/68
= (4 x 9)/(4 x 17)
= 9/17
1/2 + 1/34 = 9/17
1/2 plus 1/34 as a fraction is 9/17.

where
1/2 is a proper fraction as an addend,
1/34 is a proper fraction as an addend,
9/17 is the sum of 1/2 and 1/34.

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1/2 plus 1/34 as a decimal
1/2 + 1/34 = 9/17
9/17 = 0.5294
(1/2) + (1/34) as a decimal is 0.5294

where
0.5294 is the sum of 1/2 and 1/34.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/2 and 1/34 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/2 plus 1/34 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/2) + (1/34) using LCM Method:
What is 1/2 plus 1/34 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/2
Fraction B: 1/34

What to be found?
(1/2) + (1/34) = ?
Find what's the sum of 1/2 and 1/34.

step 2 Compare the denominators of fractions 1/2 and 1/34 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/2 and 1/34 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 1/34:
The LCM of 2 and 34 is 34.

step 4 Write the fractions 1/2 and 1/34 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/2 + 1/34
= [(1 x 34)/(2 x 34)] + [(1 x 34)/(34 x 34)]

step 5 Simplify the expression to have common denominator:
= 17/34 + 1/34

step 6 Take the common values out and rewrite the above expression like the below:
= 1/34 x (17/1 + 1/1)
= 1/34 x (17 + 1)

step 7Simplify the above expression further:
= 1/34 x 18
= 18/34
= 9/17
1/2 + 1/34 = 9/17

Hence,
1/2 plus 1/34 as a fraction is 9/17.

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1/2 + 1/34 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/2
Fraction B: 1/34

What to be found?
(1/2)+(1/34) = ?
Find what's the sum of 1/2 and 1/34.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 34), find the product of numerator of Fraction B and denominator of Fraction A (1 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 34) and rewrite the equation as like the below:
= (1 x 34) + (1 x 2)/(2 x 34)

step 3 Simplify and rewrite the fraction:
= (34 + 2)/68
= 36/68
= 9/17
1/2 + 1/34 = 9/17

Hence,
1/2 plus 1/34 in fraction is 9/17