10/3 - 13/2 as a fraction

Learn how to find what is 10/3 minus 13/2 in fraction form just in a few minutes. We have covered the easiest method to write 10/3 - 13/2 as a fraction and decimal.

Summary: 10/3 minus 13/2 = -19/6
Since both fractions have unequal denominators, 10/3 minus 13/2 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 10/3 and fraction 13/2 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 2. 6 is the LCM of 3 and 2. Multiplying the LCM 6 with the numerators and denominators of both fractions (10/3 x 6/6) - (13/2 x 6/6), and simplify further in order to have the common denominator. So the equivalent fraction for 10/3 is 20/6 and for 13/2 is 39/6. By simplifying this fraction subtraction 20/6 - 39/6, it becomes -19/6.

CALCULATION: 10/3 - 13/2 as a fraction
10/3 - 13/2 = (?)
10/3 - 13/2 = [(10 x 2) - (13 x 3)]/(3 x 2)
= (20 - 39)/6
= -19/6
10/3 - 13/2 = -19/6
10/3 minus 13/2 as a fraction is -19/6.

where
10/3 is a improper fraction as a minuend,
13/2 is a improper fraction as a subtrahend,
-19/6 is the difference between 10/3 and 13/2.

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10/3 minus 13/2 as a decimal
10/3 - 13/2 = -19/6
-19/6 = -3.1667
(10/3) - (13/2) as a decimal is -3.1667

where
-3.1667 is the difference between 10/3 and 13/2.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 13/2 from 10/3. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 10/3 minus 13/2.
1. LCM method
2. Cross multiplication method.

(10/3) - (13/2) using LCM Method:
What is 10/3 minus 13/2 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 10/3
Fraction B: 13/2

What to be found?
(10/3) - (13/2) = ?
Find what's the difference between 10/3 and 13/2.

step 2 Compare the denominators of fractions 10/3 and 13/2 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 10/3 and 13/2 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 10/3 and 13/2:
The LCM of 3 and 2 is 6.

step 4 Write the fractions 10/3 and 13/2 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 10/3 - 13/2
= [(10 x 6)/(3 x 6)] - [(13 x 6)/(2 x 6)]

step 5 Simplify the expression to have common denominator:
= 20/6 - 39/6

step 6 Take the common values out and rewrite the above expression like the below:
= 1/6 x (20/1 - 39/1)
= 1/6 x (20 - 39)

step 7Simplify the above expression further:
= 1/6 x -19
= -19/6
10/3 - 13/2 = -19/6

Hence,
10/3 minus 13/2 as a fraction is -19/6.

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10/3 - 13/2 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 10/3
Fraction B: 13/2

What to be found?
(10/3)-(13/2) = ?
Find what's the difference between 10/3 and 13/2.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (10 x 2), find the product of numerator of Fraction B and denominator of Fraction A (13 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 2) and rewrite the equation as like the below:
= (10 x 2) - (13 x 3)/(3 x 2)

step 3 Simplify and rewrite the fraction:
= (20 - 39)/6
10/3 - 13/2 = -19/6

Hence,
10/3 minus 13/2 in fraction is -19/6