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