1/10 minus 1/4 as a fraction
1/10 - 1/4 as a fraction provides the detailed information about what is 1/10 minus 1/4 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.
1/10-1/4 equals to
1/10 - 1/4 = (?)
1/10 - 1/4 = [(1 x 4) - (1 x 10)]/(10 x 4)
= (4 - 10)/40
= -6/40
= (2 x -3)/(2 x 20)
= -3/20
1/10 - 1/4 = -3/20
1/10 minus 1/4 is equal to -3/20
where
1/10 is a fraction as a minuend,
1/4 is a fraction as a subtrahend,
-3/20 is the difference between 1/10 and 1/4.
1/10 minus 1/4 as a decimal
1/10 - 1/4 = -3/20
-3/20 = -0.15
1/10-1/4 as a decimal is -0.15
where
-0.15 is the difference between 1/10 and 1/4.
How-to: 1/10 - 1/4 = ?
1. LCM method,
2. Cross multiplication method.
Problem and Workout - LCM Method:
What is 1/10 minus 1/4 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/10
Fraction B: 1/4
What to be found?
1/10-1/4 = ?
Find what's the difference between 1/10 and 1/4.
step 2 Compare the denominators of fractions 1/10 and 1/4 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/10 and 1/4 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 1/10 and 1/4:
The LCM of 10 and 4 is 20.
step 4 Write the fractions 1/10 and 1/4 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=1/10-1/4
=(1 x 20)/(10 x 20)-(1 x 20)/(4 x 20)
step 5 Simplify the expression to have common denominator:
=2/20-5/20
step 6 Take the common values out and rewrite the above expression like the below:
=1/20 x (2/1-5/1)
=1/20 x (2 - 5)
step 7Simplify the above expression further:
=1/20 x -3
=-3/20
1/10-1/4=-3/20
Hence,
1/10 minus 1/4 equals to -3/20 in fraction.
Problem and Workout - Cross Multiplication Method
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/10
Fraction B: 1/4
What to be found?
1/10-1/4 = ?
Find what's the difference between 1/10 and 1/4.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 4), 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 4) and rewrite the equation as like the below:
= (1 x 4) - (1 x 10)/(10 x 4)
step 3 Simplify and rewrite the fraction:
= (4 - 10)/40
= -6/40
= -3/20
1/10-1/4 = -3/20
Hence,
1/10 minus 1/4 = -3/20
