1/12 minus 1/3 as a fraction
1/12 - 1/3 as a fraction provides the detailed information about what is 1/12 minus 1/3 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.
1/12-1/3 equals to
1/12 - 1/3 = (?)
1/12 - 1/3 = [(1 x 3) - (1 x 12)]/(12 x 3)
= (3 - 12)/36
= -9/36
= (9 x -1)/(9 x 4)
= -1/4
1/12 - 1/3 = -1/4
1/12 minus 1/3 is equal to -1/4
where
1/12 is a fraction as a minuend,
1/3 is a fraction as a subtrahend,
-1/4 is the difference between 1/12 and 1/3.
1/12 minus 1/3 as a decimal
1/12 - 1/3 = -1/4
-1/4 = -0.25
1/12-1/3 as a decimal is -0.25
where
-0.25 is the difference between 1/12 and 1/3.
How-to: 1/12 - 1/3 = ?
1. LCM method,
2. Cross multiplication method.
Problem and Workout - LCM Method:
What is 1/12 minus 1/3 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/12
Fraction B: 1/3
What to be found?
1/12-1/3 = ?
Find what's the difference between 1/12 and 1/3.
step 2 Compare the denominators of fractions 1/12 and 1/3 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/12 and 1/3 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 1/12 and 1/3:
The LCM of 12 and 3 is 12.
step 4 Write the fractions 1/12 and 1/3 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=1/12-1/3
=(1 x 12)/(12 x 12)-(1 x 12)/(3 x 12)
step 5 Simplify the expression to have common denominator:
=1/12-4/12
step 6 Take the common values out and rewrite the above expression like the below:
=1/12 x (1/1-4/1)
=1/12 x (1 - 4)
step 7Simplify the above expression further:
=1/12 x -3
= -3/12
=-1/4
1/12-1/3=-1/4
Hence,
1/12 minus 1/3 equals to -1/4 in fraction.
Problem and Workout - Cross Multiplication Method
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/12
Fraction B: 1/3
What to be found?
1/12-1/3 = ?
Find what's the difference between 1/12 and 1/3.
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 (1 x 12), and find the product of both denominators of Fraction A and Fraction B (12 x 3) and rewrite the equation as like the below:
= (1 x 3) - (1 x 12)/(12 x 3)
step 3 Simplify and rewrite the fraction:
= (3 - 12)/36
= -9/36
= -1/4
1/12-1/3 = -1/4
Hence,
1/12 minus 1/3 = -1/4
