1/2 + 1/35 as a fraction

Learn how to find what is 1/2 plus 1/35 in fraction form just in a few minutes. We have covered the easiest method to write 1/2 + 1/35 as a fraction and decimal.

Summary: 1/2 plus 1/35 = 37/70
Since both fractions have unequal denominators, 1/2 plus 1/35 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/2 and fraction 1/35 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 35. 70 is the LCM of 2 and 35. Multiplying the LCM 70 with the numerators and denominators of both fractions (1/2 x 70/70) + (1/35 x 70/70), and simplify further in order to have the common denominator. So the equivalent fraction for 1/2 is 35/70 and for 1/35 is 2/70. By simplifying this fraction addition 35/70 + 2/70, it becomes 37/70.

Pie Chart Representation: 1/2 + 1/35 = 37/70

CALCULATION: 1/2 + 1/35 as a fraction
1/2 + 1/35 = (?)
1/2 + 1/35 = [(1 x 35) + (1 x 2)]/(2 x 35)
= (35 + 2)/70
= 37/70
1/2 + 1/35 = 37/70
1/2 plus 1/35 as a fraction is 37/70.

where
1/2 is a proper fraction as an addend,
1/35 is a proper fraction as an addend,
37/70 is the sum of 1/2 and 1/35.

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1/2 plus 1/35 as a decimal
1/2 + 1/35 = 37/70
37/70 = 0.5286
(1/2) + (1/35) as a decimal is 0.5286

where
0.5286 is the sum of 1/2 and 1/35.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/2 and 1/35 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/2 plus 1/35 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/2) + (1/35) using LCM Method:
What is 1/2 plus 1/35 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/2
Fraction B: 1/35

What to be found?
(1/2) + (1/35) = ?
Find what's the sum of 1/2 and 1/35.

step 2 Compare the denominators of fractions 1/2 and 1/35 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/2 and 1/35 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 1/35:
The LCM of 2 and 35 is 70.

step 4 Write the fractions 1/2 and 1/35 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/2 + 1/35
= [(1 x 70)/(2 x 70)] + [(1 x 70)/(35 x 70)]

step 5 Simplify the expression to have common denominator:
= 35/70 + 2/70

step 6 Take the common values out and rewrite the above expression like the below:
= 1/70 x (35/1 + 2/1)
= 1/70 x (35 + 2)

step 7Simplify the above expression further:
= 1/70 x 37
= 37/70
1/2 + 1/35 = 37/70

Hence,
1/2 plus 1/35 as a fraction is 37/70.

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1/2 + 1/35 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/2
Fraction B: 1/35

What to be found?
(1/2)+(1/35) = ?
Find what's the sum of 1/2 and 1/35.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 35), 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 35) and rewrite the equation as like the below:
= (1 x 35) + (1 x 2)/(2 x 35)

step 3 Simplify and rewrite the fraction:
= (35 + 2)/70
1/2 + 1/35 = 37/70

Hence,
1/2 plus 1/35 in fraction is 37/70