2/3 minus 1/2 as a fraction
2/3 - 1/2 as a fraction provides the detailed information about what is 2/3 minus 1/2 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.
2/3-1/2 equals to
2/3 - 1/2 = (?)
2/3 - 1/2 = [(2 x 2) - (1 x 3)]/(3 x 2)
= (4 - 3)/6
= 1/6
2/3 - 1/2 = 1/6
2/3 minus 1/2 is equal to 1/6
where
2/3 is a fraction as a minuend,
1/2 is a fraction as a subtrahend,
1/6 is the difference between 2/3 and 1/2.
2/3 minus 1/2 as a decimal
2/3 - 1/2 = 1/6
1/6 = 0.1667
2/3-1/2 as a decimal is 0.1667
where
0.1667 is the difference between 2/3 and 1/2.
How-to: 2/3 - 1/2 = ?
1. LCM method,
2. Cross multiplication method.
Problem and Workout - LCM Method:
What is 2/3 minus 1/2 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/3
Fraction B: 1/2
What to be found?
2/3-1/2 = ?
Find what's the difference between 2/3 and 1/2.
step 2 Compare the denominators of fractions 2/3 and 1/2 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 2/3 and 1/2 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 1/2:
The LCM of 3 and 2 is 6.
step 4 Write the fractions 2/3 and 1/2 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=2/3-1/2
=(2 x 6)/(3 x 6)-(1 x 6)/(2 x 6)
step 5 Simplify the expression to have common denominator:
=4/6-3/6
step 6 Take the common values out and rewrite the above expression like the below:
=1/6 x (4/1-3/1)
=1/6 x (4 - 3)
step 7Simplify the above expression further:
=1/6 x 1
=1/6
2/3-1/2=1/6
Hence,
2/3 minus 1/2 equals to 1/6 in fraction.
Problem and Workout - Cross Multiplication Method
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/3
Fraction B: 1/2
What to be found?
2/3-1/2 = ?
Find what's the difference between 2/3 and 1/2.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 2), find the product of numerator of Fraction B and denominator of Fraction A (1 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 2) and rewrite the equation as like the below:
= (2 x 2) - (1 x 3)/(3 x 2)
step 3 Simplify and rewrite the fraction:
= (4 - 3)/6
2/3-1/2 = 1/6
Hence,
2/3 minus 1/2 = 1/6
