3/6 minus 10/12 as a fraction

3/6 - 10/12 as a fraction provides the detailed information about what is 3/6 minus 10/12 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.
3/6-10/12 equals to
3/6 - 10/12 = (?)
3/6 - 10/12 = [(3 x 12) - (10 x 6)]/(6 x 12)
= (36 - 60)/72
= -24/72
= (24 x -1)/(24 x 3)
= -1/3
3/6 - 10/12 = -1/3
3/6 minus 10/12 is equal to -1/3
where
3/6 is a fraction as a minuend,
10/12 is a fraction as a subtrahend,
-1/3 is the difference between 3/6 and 10/12.
3/6 minus 10/12 as a decimal
3/6 - 10/12 = -1/3
-1/3 = -0.3333
3/6-10/12 as a decimal is -0.3333
where
-0.3333 is the difference between 3/6 and 10/12.
How-to: 3/6 - 10/12 = ?
1. LCM method,
2. Cross multiplication method.
Problem and Workout - LCM Method:
What is 3/6 minus 10/12 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/6
Fraction B: 10/12
What to be found?
3/6-10/12 = ?
Find what's the difference between 3/6 and 10/12.
step 2 Compare the denominators of fractions 3/6 and 10/12 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 3/6 and 10/12 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 3/6 and 10/12:
The LCM of 6 and 12 is 12.
step 4 Write the fractions 3/6 and 10/12 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=3/6-10/12
=(3 x 12)/(6 x 12)-(10 x 12)/(12 x 12)
step 5 Simplify the expression to have common denominator:
=6/12-10/12
step 6 Take the common values out and rewrite the above expression like the below:
=1/12 x (6/1-10/1)
=1/12 x (6 - 10)
step 7Simplify the above expression further:
=1/12 x -4
= -4/12
=-1/3
3/6-10/12=-1/3
Hence,
3/6 minus 10/12 equals to -1/3 in fraction.
Problem and Workout - Cross Multiplication Method
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/6
Fraction B: 10/12
What to be found?
3/6-10/12 = ?
Find what's the difference between 3/6 and 10/12.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 12), find the product of numerator of Fraction B and denominator of Fraction A (10 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 12) and rewrite the equation as like the below:
= (3 x 12) - (10 x 6)/(6 x 12)
step 3 Simplify and rewrite the fraction:
= (36 - 60)/72
= -24/72
= -1/3
3/6-10/12 = -1/3
Hence,
3/6 minus 10/12 = -1/3
