What is 1/3 minus 2/5 in fraction?
1/3 minus 2/5 equals to -1/15 in fraction form.
Learn how to find what is 1/3 minus 2/5 in fraction form just in a few minutes. We have covered the easiest method to write 1/3 - 2/5 as a fraction and decimal.
Summary: 1/3 minus 2/5
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 1/3 and 2/5 having identical denominators before starting adding the fractions. Find the LCM of denominators, 15 is the LCM of 3 and 5. Multiply the LCM 15 with all the numerators and denominators of both fractions (1/3 x 15/15) - (2/5 x 15/15) and simplify further in order to have the common denominators. By simplifying the fraction subtraction expression becomes -1/15.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 2/5 from 1/3. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 1/3 minus 2/5.
1. LCM method
2. Cross multiplication method.
1/3-2/5 using LCM Method:
What is 1/3 minus 2/5 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 2/5
What to be found?
1/3-2/5 = ?
Find what's the difference between 1/3 and 2/5.
step 2 Compare the denominators of fractions 1/3 and 2/5 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/3 and 2/5 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 1/3 and 2/5:
The LCM of 3 and 5 is 15.
step 4 Write the fractions 1/3 and 2/5 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=1/3-2/5
=(1 x 15)/(3 x 15)-(2 x 15)/(5 x 15)
step 5 Simplify the expression to have common denominator:
=5/15-6/15
step 6 Take the common values out and rewrite the above expression like the below:
=1/15 x (5/1-6/1)
=1/15 x (5 - 6)
step 7Simplify the above expression further:
=1/15 x -1
=-1/15
1/3-2/5=-1/15
Hence,
1/3 minus 2/5 equals to -1/15 in fraction.
1/3-2/5 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 2/5
What to be found?
1/3-2/5 = ?
Find what's the difference between 1/3 and 2/5.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 5), find the product of numerator of Fraction B and denominator of Fraction A (2 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 5) and rewrite the equation as like the below:
= (1 x 5) - (2 x 3)/(3 x 5)
step 3 Simplify and rewrite the fraction:
= (5 - 6)/15
1/3-2/5 = -1/15
Hence,
1/3 minus 2/5 = -1/15