3/10 minus 2/3 as a fraction
3/10 - 2/3 as a fraction provides the detailed information about what is 3/10 minus 2/3 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.
3/10-2/3 equals to
3/10 - 2/3 = (?)
3/10 - 2/3 = [(3 x 3) - (2 x 10)]/(10 x 3)
= (9 - 20)/30
= -11/30
3/10 - 2/3 = -11/30
3/10 minus 2/3 is equal to -11/30
where
3/10 is a fraction as a minuend,
2/3 is a fraction as a subtrahend,
-11/30 is the difference between 3/10 and 2/3.
3/10 minus 2/3 as a decimal
3/10 - 2/3 = -11/30
-11/30 = -0.3667
3/10-2/3 as a decimal is -0.3667
where
-0.3667 is the difference between 3/10 and 2/3.
How-to: 3/10 - 2/3 = ?
1. LCM method,
2. Cross multiplication method.
Problem and Workout - LCM Method:
What is 3/10 minus 2/3 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/10
Fraction B: 2/3
What to be found?
3/10-2/3 = ?
Find what's the difference between 3/10 and 2/3.
step 2 Compare the denominators of fractions 3/10 and 2/3 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 3/10 and 2/3 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 3/10 and 2/3:
The LCM of 10 and 3 is 30.
step 4 Write the fractions 3/10 and 2/3 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=3/10-2/3
=(3 x 30)/(10 x 30)-(2 x 30)/(3 x 30)
step 5 Simplify the expression to have common denominator:
=9/30-20/30
step 6 Take the common values out and rewrite the above expression like the below:
=1/30 x (9/1-20/1)
=1/30 x (9 - 20)
step 7Simplify the above expression further:
=1/30 x -11
=-11/30
3/10-2/3=-11/30
Hence,
3/10 minus 2/3 equals to -11/30 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: 2/3
What to be found?
3/10-2/3 = ?
Find what's the difference between 3/10 and 2/3.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 3), find the product of numerator of Fraction B and denominator of Fraction A (2 x 10), and find the product of both denominators of Fraction A and Fraction B (10 x 3) and rewrite the equation as like the below:
= (3 x 3) - (2 x 10)/(10 x 3)
step 3 Simplify and rewrite the fraction:
= (9 - 20)/30
3/10-2/3 = -11/30
Hence,
3/10 minus 2/3 = -11/30
