2/3 - 6/10 as a fraction

Learn how to find what is 2/3 minus 6/10 in fraction form just in a few minutes. We have covered the easiest method to write 2/3 - 6/10 as a fraction and decimal.

Summary: 2/3 minus 6/10 = 1/15
Since both fractions have unequal denominators, 2/3 minus 6/10 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 2/3 and fraction 6/10 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 10. 30 is the LCM of 3 and 10. Multiplying the LCM 30 with the numerators and denominators of both fractions (2/3 x 30/30) - (6/10 x 30/30), and simplify further in order to have the common denominator. So the equivalent fraction for 2/3 is 20/30 and for 6/10 is 18/30. By simplifying this fraction subtraction 20/30 - 18/30, it becomes 2/30.

Pie Chart Representation: 2/3 - 6/10 = 1/15

CALCULATION: 2/3 - 6/10 as a fraction
2/3 - 6/10 = (?)
2/3 - 6/10 = [(2 x 10) - (6 x 3)]/(3 x 10)
= (20 - 18)/30
= 2/30
= (2 x 1)/(2 x 15)
= 1/15
2/3 - 6/10 = 1/15
2/3 minus 6/10 as a fraction is 1/15.

where
2/3 is a proper fraction as a minuend,
6/10 is a proper fraction as a subtrahend,
1/15 is the difference between 2/3 and 6/10.

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2/3 minus 6/10 as a decimal
2/3 - 6/10 = 1/15
1/15 = 0.0667
(2/3) - (6/10) as a decimal is 0.0667

where
0.0667 is the difference between 2/3 and 6/10.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 6/10 from 2/3. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 2/3 minus 6/10.
1. LCM method
2. Cross multiplication method.

(2/3) - (6/10) using LCM Method:
What is 2/3 minus 6/10 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/3
Fraction B: 6/10

What to be found?
(2/3) - (6/10) = ?
Find what's the difference between 2/3 and 6/10.

step 2 Compare the denominators of fractions 2/3 and 6/10 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 2/3 and 6/10 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 2/3 and 6/10:
The LCM of 3 and 10 is 30.

step 4 Write the fractions 2/3 and 6/10 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/3 - 6/10
= [(2 x 30)/(3 x 30)] - [(6 x 30)/(10 x 30)]

step 5 Simplify the expression to have common denominator:
= 20/30 - 18/30

step 6 Take the common values out and rewrite the above expression like the below:
= 1/30 x (20/1 - 18/1)
= 1/30 x (20 - 18)

step 7Simplify the above expression further:
= 1/30 x 2
= 2/30
= 1/15
2/3 - 6/10 = 1/15

Hence,
2/3 minus 6/10 as a fraction is 1/15.

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2/3 - 6/10 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/3
Fraction B: 6/10

What to be found?
(2/3)-(6/10) = ?
Find what's the difference between 2/3 and 6/10.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 10), find the product of numerator of Fraction B and denominator of Fraction A (6 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 10) and rewrite the equation as like the below:
= (2 x 10) - (6 x 3)/(3 x 10)

step 3 Simplify and rewrite the fraction:
= (20 - 18)/30
= 2/30
= 1/15
2/3 - 6/10 = 1/15

Hence,
2/3 minus 6/10 in fraction is 1/15