What is 2/4 + 1/34 in fraction?
2/4 + 1/34 equals to 9/17 in fraction form.
Learn how to find what is 2/4 plus 1/34 in fraction form just in a few minutes. We have covered the easiest method to write 2/4 + 1/34 as a fraction and decimal.
Summary: 2/4 plus 1/34 = 9/17
Since both fractions have unequal denominators, 2/4 plus 1/34 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/4 and fraction 1/34 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 34. 68 is the LCM of 4 and 34. Multiplying the LCM 68 with the numerators and denominators of both fractions (2/4 x 68/68) + (1/34 x 68/68), and simplify further in order to have the common denominator. So the equivalent fraction for 2/4 is 34/68 and for 1/34 is 2/68. By simplifying this fraction addition 34/68 + 2/68, it becomes 36/68.
Pie Chart Representation: 2/4 + 1/34 = 9/17
The below workout with step by step calculation shows how to find the equivalent fraction between 2/4 and 1/34 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/4 plus 1/34 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
(2/4) + (1/34) using LCM Method:
What is 2/4 plus 1/34 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/4
Fraction B: 1/34
What to be found?
(2/4) + (1/34) = ?
Find what's the sum of 2/4 and 1/34.
step 2 Compare the denominators of fractions 2/4 and 1/34 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/4 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 2/4 and 1/34:
The LCM of 4 and 34 is 68.
step 4 Write the fractions 2/4 and 1/34 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/4 + 1/34
= [(2 x 68)/(4 x 68)] + [(1 x 68)/(34 x 68)]
step 5 Simplify the expression to have common denominator:
= 34/68 + 2/68
step 6 Take the common values out and rewrite the above expression like the below:
= 1/68 x (34/1 + 2/1)
= 1/68 x (34 + 2)
step 7Simplify the above expression further:
= 1/68 x 36
= 36/68
= 9/17
2/4 + 1/34 = 9/17
Hence,
2/4 plus 1/34 as a fraction is 9/17.
2/4 + 1/34 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/4
Fraction B: 1/34
What to be found?
(2/4)+(1/34) = ?
Find what's the sum of 2/4 and 1/34.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 34), find the product of numerator of Fraction B and denominator of Fraction A (1 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 34) and rewrite the equation as like the below:
= (2 x 34) + (1 x 4)/(4 x 34)
step 3 Simplify and rewrite the fraction:
= (68 + 4)/136
= 72/136
= 9/17
2/4 + 1/34 = 9/17
Hence,
2/4 plus 1/34 in fraction is 9/17