3/7 + 2/5 in fraction form

Learn how to find what is 3/7 plus 2/5 in fraction form just in a few minutes. We have covered the easiest method to write 3/7 + 2/5 as a fraction and decimal.

Summary: 3/7 plus 2/5
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 3/7 and 2/5 having identical denominators before starting adding the fractions. Find the LCM of denominators, 35 is the LCM of 7 and 5. Multiply the LCM 35 with all the numerators and denominators of both fractions (3/7 x 35/35) + (2/5 x 35/35) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 29/35.

CALCULATION:
3/7+2/5 as a fraction
3/7 + 2/5 = (?)
3/7 + 2/5 = [(3 x 5) + (2 x 7)]/(7 x 5)
= (15 + 14)/35
= 29/35
3/7 + 2/5 = 29/35
3/7 plus 2/5 as a fraction is 29/35.

where
3/7 is a fraction as an addend,
2/5 is a fraction as an addend,
29/35 is the sum of 3/7 and 2/5.

---

3/7 plus 2/5 as a decimal
3/7 + 2/5 = 29/35
29/35 = 0.8286
3/7+2/5 as a decimal is 0.8286
where
0.8286 is the sum of 3/7 and 2/5.

The below workout with step by step calculation shows how to find the equivalent fraction between 3/7 and 2/5 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 3/7 plus 2/5 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

3/7+2/5 using LCM Method:
What is 3/7 plus 2/5 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/7
Fraction B: 2/5

What to be found?
3/7+2/5 = ?
Find what's the sum of 3/7 and 2/5.

step 2 Compare the denominators of fractions 3/7 and 2/5 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 3/7 and 2/5 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 3/7 and 2/5:
The LCM of 7 and 5 is 35.

step 4 Write the fractions 3/7 and 2/5 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=3/7+2/5
=(3 x 35)/(7 x 35)+(2 x 35)/(5 x 35)

step 5 Simplify the expression to have common denominator:
=15/35+14/35

step 6 Take the common values out and rewrite the above expression like the below:
=1/35 x (15/1+14/1)
=1/35 x (15 + 14)

step 7Simplify the above expression further:
=1/35 x 29
=29/35
3/7+2/5=29/35

Hence,
3/7 plus 2/5 equals to 29/35 in fraction.

---

3/7+2/5 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/7
Fraction B: 2/5

What to be found?
3/7+2/5 = ?
Find what's the sum of 3/7 and 2/5.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 5), find the product of numerator of Fraction B and denominator of Fraction A (2 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 5) and rewrite the equation as like the below:
= (3 x 5) + (2 x 7)/(7 x 5)

step 3 Simplify and rewrite the fraction:
= (15 + 14)/35
3/7+2/5 = 29/35
Hence,
3/7 plus 2/5 = 29/35