8/3 - 3/10 as a fraction

Learn how to find what is 8/3 minus 3/10 in fraction form just in a few minutes. We have covered the easiest method to write 8/3 - 3/10 as a fraction and decimal.

Summary: 8/3 minus 3/10 = 71/30
Since both fractions have unequal denominators, 8/3 minus 3/10 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 8/3 and fraction 3/10 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 10. 30 is the LCM of 3 and 10. Multiplying the LCM 30 with the numerators and denominators of both fractions (8/3 x 30/30) - (3/10 x 30/30), and simplify further in order to have the common denominator. So the equivalent fraction for 8/3 is 80/30 and for 3/10 is 9/30. By simplifying this fraction subtraction 80/30 - 9/30, it becomes 71/30.

CALCULATION: 8/3 - 3/10 as a fraction
8/3 - 3/10 = (?)
8/3 - 3/10 = [(8 x 10) - (3 x 3)]/(3 x 10)
= (80 - 9)/30
= 71/30
8/3 - 3/10 = 71/30
8/3 minus 3/10 as a fraction is 71/30.

where
8/3 is a improper fraction as a minuend,
3/10 is a proper fraction as a subtrahend,
71/30 is the difference between 8/3 and 3/10.

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8/3 minus 3/10 as a decimal
8/3 - 3/10 = 71/30
71/30 = 2.3667
(8/3) - (3/10) as a decimal is 2.3667

where
2.3667 is the difference between 8/3 and 3/10.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 3/10 from 8/3. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 8/3 minus 3/10.
1. LCM method
2. Cross multiplication method.

(8/3) - (3/10) using LCM Method:
What is 8/3 minus 3/10 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/3
Fraction B: 3/10

What to be found?
(8/3) - (3/10) = ?
Find what's the difference between 8/3 and 3/10.

step 2 Compare the denominators of fractions 8/3 and 3/10 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 8/3 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 8/3 and 3/10:
The LCM of 3 and 10 is 30.

step 4 Write the fractions 8/3 and 3/10 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 8/3 - 3/10
= [(8 x 30)/(3 x 30)] - [(3 x 30)/(10 x 30)]

step 5 Simplify the expression to have common denominator:
= 80/30 - 9/30

step 6 Take the common values out and rewrite the above expression like the below:
= 1/30 x (80/1 - 9/1)
= 1/30 x (80 - 9)

step 7Simplify the above expression further:
= 1/30 x 71
= 71/30
8/3 - 3/10 = 71/30

Hence,
8/3 minus 3/10 as a fraction is 71/30.

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8/3 - 3/10 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/3
Fraction B: 3/10

What to be found?
(8/3)-(3/10) = ?
Find what's the difference between 8/3 and 3/10.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (8 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:
= (8 x 10) - (3 x 3)/(3 x 10)

step 3 Simplify and rewrite the fraction:
= (80 - 9)/30
8/3 - 3/10 = 71/30

Hence,
8/3 minus 3/10 in fraction is 71/30