2/5 - 3/7 in fraction form

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

Summary: 2/5 minus 3/7
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 2/5 and 3/7 having identical denominators before starting adding the fractions. Find the LCM of denominators, 35 is the LCM of 5 and 7. Multiply the LCM 35 with all the numerators and denominators of both fractions (2/5 x 35/35) - (3/7 x 35/35) and simplify further in order to have the common denominators. By simplifying the fraction subtraction expression becomes -1/35.

CALCULATION:
2/5-3/7 as a fraction
2/5 - 3/7 = (?)
2/5 - 3/7 = [(2 x 7) - (3 x 5)]/(5 x 7)
= (14 - 15)/35
= -1/35
2/5 - 3/7 = -1/35
2/5 minus 3/7 as a fraction is -1/35.

where
2/5 is a fraction as a minuend,
3/7 is a fraction as a subtrahend,
-1/35 is the difference between 2/5 and 3/7.

---

2/5 minus 3/7 as a decimal
2/5 - 3/7 = -1/35
-1/35 = -0.0286
2/5-3/7 as a decimal is -0.0286
where
-0.0286 is the difference between 2/5 and 3/7.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 3/7 from 2/5. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 2/5 minus 3/7.
1. LCM method
2. Cross multiplication method.

2/5-3/7 using LCM Method:
What is 2/5 minus 3/7 as a fraction?

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

What to be found?
2/5-3/7 = ?
Find what's the difference between 2/5 and 3/7.

step 2 Compare the denominators of fractions 2/5 and 3/7 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 2/5 and 3/7 are not equal, it is said to be unlike fractions subtraction.

step 3For unlike fractions subtraction, find the LCM (least common multiple) of both denominators of fractions 2/5 and 3/7:
The LCM of 5 and 7 is 35.

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

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

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

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

Hence,
2/5 minus 3/7 equals to -1/35 in fraction.

---

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

What to be found?
2/5-3/7 = ?
Find what's the difference between 2/5 and 3/7.

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

step 3 Simplify and rewrite the fraction:
= (14 - 15)/35
2/5-3/7 = -1/35
Hence,
2/5 minus 3/7 = -1/35