1/4 + 2/35 as a fraction

Learn how to find what is 1/4 plus 2/35 in fraction form just in a few minutes. We have covered the easiest method to write 1/4 + 2/35 as a fraction and decimal.

Summary: 1/4 plus 2/35 = 43/140
Since both fractions have unequal denominators, 1/4 plus 2/35 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/4 and fraction 2/35 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 35. 140 is the LCM of 4 and 35. Multiplying the LCM 140 with the numerators and denominators of both fractions (1/4 x 140/140) + (2/35 x 140/140), and simplify further in order to have the common denominator. So the equivalent fraction for 1/4 is 35/140 and for 2/35 is 8/140. By simplifying this fraction addition 35/140 + 8/140, it becomes 43/140.

Pie Chart Representation: 1/4 + 2/35 = 43/140

CALCULATION: 1/4 + 2/35 as a fraction
1/4 + 2/35 = (?)
1/4 + 2/35 = [(1 x 35) + (2 x 4)]/(4 x 35)
= (35 + 8)/140
= 43/140
1/4 + 2/35 = 43/140
1/4 plus 2/35 as a fraction is 43/140.

where
1/4 is a proper fraction as an addend,
2/35 is a proper fraction as an addend,
43/140 is the sum of 1/4 and 2/35.

---

1/4 plus 2/35 as a decimal
1/4 + 2/35 = 43/140
43/140 = 0.3071
(1/4) + (2/35) as a decimal is 0.3071

where
0.3071 is the sum of 1/4 and 2/35.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/4 and 2/35 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/4 plus 2/35 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/4) + (2/35) using LCM Method:
What is 1/4 plus 2/35 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/4
Fraction B: 2/35

What to be found?
(1/4) + (2/35) = ?
Find what's the sum of 1/4 and 2/35.

step 2 Compare the denominators of fractions 1/4 and 2/35 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/4 and 2/35 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 1/4 and 2/35:
The LCM of 4 and 35 is 140.

step 4 Write the fractions 1/4 and 2/35 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/4 + 2/35
= [(1 x 140)/(4 x 140)] + [(2 x 140)/(35 x 140)]

step 5 Simplify the expression to have common denominator:
= 35/140 + 8/140

step 6 Take the common values out and rewrite the above expression like the below:
= 1/140 x (35/1 + 8/1)
= 1/140 x (35 + 8)

step 7Simplify the above expression further:
= 1/140 x 43
= 43/140
1/4 + 2/35 = 43/140

Hence,
1/4 plus 2/35 as a fraction is 43/140.

---

1/4 + 2/35 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/4
Fraction B: 2/35

What to be found?
(1/4)+(2/35) = ?
Find what's the sum of 1/4 and 2/35.

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 (2 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 35) and rewrite the equation as like the below:
= (1 x 35) + (2 x 4)/(4 x 35)

step 3 Simplify and rewrite the fraction:
= (35 + 8)/140
1/4 + 2/35 = 43/140

Hence,
1/4 plus 2/35 in fraction is 43/140