What is 3/5 minus 2/3 in fraction?
3/5 minus 2/3 equals to -1/15 in fraction form.
3/5 - 2/3 in fraction form
Learn how to find what is 3/5 minus 2/3 in fraction form just in a few minutes. We have covered the easiest method to write 3/5 - 2/3 as a fraction and decimal.
Summary: 3/5 minus 2/3
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 3/5 and 2/3 having identical denominators before starting adding the fractions. Find the LCM of denominators, 15 is the LCM of 5 and 3. Multiply the LCM 15 with all the numerators and denominators of both fractions (3/5 x 15/15) - (2/3 x 15/15) and simplify further in order to have the common denominators. By simplifying the fraction subtraction expression becomes -1/15.
3/5-2/3 as a fraction
3/5 - 2/3 = (?)
3/5 - 2/3 = [(3 x 3) - (2 x 5)]/(5 x 3)
= (9 - 10)/15
= -1/15
3/5 - 2/3 = -1/15
3/5 minus 2/3 as a fraction is -1/15.
where
3/5 is a fraction as a minuend,
2/3 is a fraction as a subtrahend,
-1/15 is the difference between 3/5 and 2/3.
3/5 minus 2/3 as a decimal
3/5 - 2/3 = -1/15
-1/15 = -0.0667
3/5-2/3 as a decimal is -0.0667
where
-0.0667 is the difference between 3/5 and 2/3.
How to find 3/5-2/3 as a fraction?
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 2/3 from 3/5. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 3/5 minus 2/3.
1. LCM method
2. Cross multiplication method.
3/5-2/3 using LCM Method:
What is 3/5 minus 2/3 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/5
Fraction B: 2/3
What to be found?
3/5-2/3 = ?
Find what's the difference between 3/5 and 2/3.
step 2 Compare the denominators of fractions 3/5 and 2/3 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 3/5 and 2/3 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 3/5 and 2/3:
The LCM of 5 and 3 is 15.
step 4 Write the fractions 3/5 and 2/3 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=3/5-2/3
=(3 x 15)/(5 x 15)-(2 x 15)/(3 x 15)
step 5 Simplify the expression to have common denominator:
=9/15-10/15
step 6 Take the common values out and rewrite the above expression like the below:
=1/15 x (9/1-10/1)
=1/15 x (9 - 10)
step 7Simplify the above expression further:
=1/15 x -1
=-1/15
3/5-2/3=-1/15
Hence,
3/5 minus 2/3 equals to -1/15 in fraction.
3/5-2/3 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/5
Fraction B: 2/3
What to be found?
3/5-2/3 = ?
Find what's the difference between 3/5 and 2/3.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 3), find the product of numerator of Fraction B and denominator of Fraction A (2 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 3) and rewrite the equation as like the below:
= (3 x 3) - (2 x 5)/(5 x 3)
step 3 Simplify and rewrite the fraction:
= (9 - 10)/15
3/5-2/3 = -1/15
Hence,
3/5 minus 2/3 = -1/15