3/10 minus 1/6 as a fraction
3/10 - 1/6 as a fraction provides the detailed information about what is 3/10 minus 1/6 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.
3/10-1/6 equals to
3/10 - 1/6 = (?)
3/10 - 1/6 = [(3 x 6) - (1 x 10)]/(10 x 6)
= (18 - 10)/60
= 8/60
= (4 x 2)/(4 x 15)
= 2/15
3/10 - 1/6 = 2/15
3/10 minus 1/6 is equal to 2/15
where
3/10 is a fraction as a minuend,
1/6 is a fraction as a subtrahend,
2/15 is the difference between 3/10 and 1/6.
3/10 minus 1/6 as a decimal
3/10 - 1/6 = 2/15
2/15 = 0.1333
3/10-1/6 as a decimal is 0.1333
where
0.1333 is the difference between 3/10 and 1/6.
How-to: 3/10 - 1/6 = ?
1. LCM method,
2. Cross multiplication method.
Problem and Workout - LCM Method:
What is 3/10 minus 1/6 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/10
Fraction B: 1/6
What to be found?
3/10-1/6 = ?
Find what's the difference between 3/10 and 1/6.
step 2 Compare the denominators of fractions 3/10 and 1/6 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 3/10 and 1/6 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 3/10 and 1/6:
The LCM of 10 and 6 is 30.
step 4 Write the fractions 3/10 and 1/6 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=3/10-1/6
=(3 x 30)/(10 x 30)-(1 x 30)/(6 x 30)
step 5 Simplify the expression to have common denominator:
=9/30-5/30
step 6 Take the common values out and rewrite the above expression like the below:
=1/30 x (9/1-5/1)
=1/30 x (9 - 5)
step 7Simplify the above expression further:
=1/30 x 4
= 4/30
=2/15
3/10-1/6=2/15
Hence,
3/10 minus 1/6 equals to 2/15 in fraction.
Problem and Workout - Cross Multiplication Method
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/10
Fraction B: 1/6
What to be found?
3/10-1/6 = ?
Find what's the difference between 3/10 and 1/6.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 6), find the product of numerator of Fraction B and denominator of Fraction A (1 x 10), and find the product of both denominators of Fraction A and Fraction B (10 x 6) and rewrite the equation as like the below:
= (3 x 6) - (1 x 10)/(10 x 6)
step 3 Simplify and rewrite the fraction:
= (18 - 10)/60
= 8/60
= 2/15
3/10-1/6 = 2/15
Hence,
3/10 minus 1/6 = 2/15
