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