2/5 - 8/15 as a fraction

Learn how to find what is 2/5 minus 8/15 in fraction form just in a few minutes. We have covered the easiest method to write 2/5 - 8/15 as a fraction and decimal.

Summary: 2/5 minus 8/15 = -2/15
Since both fractions have unequal denominators, 2/5 minus 8/15 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 2/5 and fraction 8/15 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 15. 15 is the LCM of 5 and 15. Multiplying the LCM 15 with the numerators and denominators of both fractions (2/5 x 15/15) - (8/15 x 15/15), and simplify further in order to have the common denominator. So the equivalent fraction for 2/5 is 6/15 and for 8/15 is 8/15. By simplifying this fraction subtraction 6/15 - 8/15, it becomes -2/15.

CALCULATION: 2/5 - 8/15 as a fraction
2/5 - 8/15 = (?)
2/5 - 8/15 = [(2 x 15) - (8 x 5)]/(5 x 15)
= (30 - 40)/75
= -10/75
= (5 x -2)/(5 x 15)
= -2/15
2/5 - 8/15 = -2/15
2/5 minus 8/15 as a fraction is -2/15.

where
2/5 is a proper fraction as a minuend,
8/15 is a proper fraction as a subtrahend,
-2/15 is the difference between 2/5 and 8/15.

---

2/5 minus 8/15 as a decimal
2/5 - 8/15 = -2/15
-2/15 = -0.1333
(2/5) - (8/15) as a decimal is -0.1333

where
-0.1333 is the difference between 2/5 and 8/15.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 8/15 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 8/15.
1. LCM method
2. Cross multiplication method.

(2/5) - (8/15) using LCM Method:
What is 2/5 minus 8/15 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/5
Fraction B: 8/15

What to be found?
(2/5) - (8/15) = ?
Find what's the difference between 2/5 and 8/15.

step 2 Compare the denominators of fractions 2/5 and 8/15 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 2/5 and 8/15 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 8/15:
The LCM of 5 and 15 is 15.

step 4 Write the fractions 2/5 and 8/15 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/5 - 8/15
= [(2 x 15)/(5 x 15)] - [(8 x 15)/(15 x 15)]

step 5 Simplify the expression to have common denominator:
= 6/15 - 8/15

step 6 Take the common values out and rewrite the above expression like the below:
= 1/15 x (6/1 - 8/1)
= 1/15 x (6 - 8)

step 7Simplify the above expression further:
= 1/15 x -2
= -2/15
2/5 - 8/15 = -2/15

Hence,
2/5 minus 8/15 as a fraction is -2/15.

---

2/5 - 8/15 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/5
Fraction B: 8/15

What to be found?
(2/5)-(8/15) = ?
Find what's the difference between 2/5 and 8/15.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 15), find the product of numerator of Fraction B and denominator of Fraction A (8 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 15) and rewrite the equation as like the below:
= (2 x 15) - (8 x 5)/(5 x 15)

step 3 Simplify and rewrite the fraction:
= (30 - 40)/75
= -10/75
= -2/15
2/5 - 8/15 = -2/15

Hence,
2/5 minus 8/15 in fraction is -2/15