2/5 + 3/14 as a fraction

Learn how to find what is 2/5 plus 3/14 in fraction form just in a few minutes. We have covered the easiest method to write 2/5 + 3/14 as a fraction and decimal.

Summary: 2/5 plus 3/14 = 43/70
Since both fractions have unequal denominators, 2/5 plus 3/14 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/5 and fraction 3/14 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 14. 70 is the LCM of 5 and 14. Multiplying the LCM 70 with the numerators and denominators of both fractions (2/5 x 70/70) + (3/14 x 70/70), and simplify further in order to have the common denominator. So the equivalent fraction for 2/5 is 28/70 and for 3/14 is 15/70. By simplifying this fraction addition 28/70 + 15/70, it becomes 43/70.

Pie Chart Representation: 2/5 + 3/14 = 43/70

CALCULATION: 2/5 + 3/14 as a fraction
2/5 + 3/14 = (?)
2/5 + 3/14 = [(2 x 14) + (3 x 5)]/(5 x 14)
= (28 + 15)/70
= 43/70
2/5 + 3/14 = 43/70
2/5 plus 3/14 as a fraction is 43/70.

where
2/5 is a proper fraction as an addend,
3/14 is a proper fraction as an addend,
43/70 is the sum of 2/5 and 3/14.

---

2/5 plus 3/14 as a decimal
2/5 + 3/14 = 43/70
43/70 = 0.6143
(2/5) + (3/14) as a decimal is 0.6143

where
0.6143 is the sum of 2/5 and 3/14.

The below workout with step by step calculation shows how to find the equivalent fraction between 2/5 and 3/14 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/5 plus 3/14 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(2/5) + (3/14) using LCM Method:
What is 2/5 plus 3/14 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/5
Fraction B: 3/14

What to be found?
(2/5) + (3/14) = ?
Find what's the sum of 2/5 and 3/14.

step 2 Compare the denominators of fractions 2/5 and 3/14 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/5 and 3/14 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 2/5 and 3/14:
The LCM of 5 and 14 is 70.

step 4 Write the fractions 2/5 and 3/14 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/5 + 3/14
= [(2 x 70)/(5 x 70)] + [(3 x 70)/(14 x 70)]

step 5 Simplify the expression to have common denominator:
= 28/70 + 15/70

step 6 Take the common values out and rewrite the above expression like the below:
= 1/70 x (28/1 + 15/1)
= 1/70 x (28 + 15)

step 7Simplify the above expression further:
= 1/70 x 43
= 43/70
2/5 + 3/14 = 43/70

Hence,
2/5 plus 3/14 as a fraction is 43/70.

---

2/5 + 3/14 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/5
Fraction B: 3/14

What to be found?
(2/5)+(3/14) = ?
Find what's the sum of 2/5 and 3/14.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 14), find the product of numerator of Fraction B and denominator of Fraction A (3 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 14) and rewrite the equation as like the below:
= (2 x 14) + (3 x 5)/(5 x 14)

step 3 Simplify and rewrite the fraction:
= (28 + 15)/70
2/5 + 3/14 = 43/70

Hence,
2/5 plus 3/14 in fraction is 43/70