1/5 minus 3/10 as a fraction
1/5 - 3/10 as a fraction provides the detailed information about what is 1/5 minus 3/10 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.
1/5-3/10 equals to
1/5 - 3/10 = (?)
1/5 - 3/10 = [(1 x 10) - (3 x 5)]/(5 x 10)
= (10 - 15)/50
= -5/50
= (5 x -1)/(5 x 10)
= -1/10
1/5 - 3/10 = -1/10
1/5 minus 3/10 is equal to -1/10
where
1/5 is a fraction as a minuend,
3/10 is a fraction as a subtrahend,
-1/10 is the difference between 1/5 and 3/10.
1/5 minus 3/10 as a decimal
1/5 - 3/10 = -1/10
-1/10 = -0.1
1/5-3/10 as a decimal is -0.1
where
-0.1 is the difference between 1/5 and 3/10.
How-to: 1/5 - 3/10 = ?
1. LCM method,
2. Cross multiplication method.
Problem and Workout - LCM Method:
What is 1/5 minus 3/10 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/5
Fraction B: 3/10
What to be found?
1/5-3/10 = ?
Find what's the difference between 1/5 and 3/10.
step 2 Compare the denominators of fractions 1/5 and 3/10 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/5 and 3/10 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 1/5 and 3/10:
The LCM of 5 and 10 is 10.
step 4 Write the fractions 1/5 and 3/10 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=1/5-3/10
=(1 x 10)/(5 x 10)-(3 x 10)/(10 x 10)
step 5 Simplify the expression to have common denominator:
=2/10-3/10
step 6 Take the common values out and rewrite the above expression like the below:
=1/10 x (2/1-3/1)
=1/10 x (2 - 3)
step 7Simplify the above expression further:
=1/10 x -1
=-1/10
1/5-3/10=-1/10
Hence,
1/5 minus 3/10 equals to -1/10 in fraction.
Problem and Workout - Cross Multiplication Method
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/5
Fraction B: 3/10
What to be found?
1/5-3/10 = ?
Find what's the difference between 1/5 and 3/10.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 10), find the product of numerator of Fraction B and denominator of Fraction A (3 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 10) and rewrite the equation as like the below:
= (1 x 10) - (3 x 5)/(5 x 10)
step 3 Simplify and rewrite the fraction:
= (10 - 15)/50
= -5/50
= -1/10
1/5-3/10 = -1/10
Hence,
1/5 minus 3/10 = -1/10
