10/3 - 2/13 as a fraction

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

Summary: 10/3 minus 2/13 = 124/39
Since both fractions have unequal denominators, 10/3 minus 2/13 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 10/3 and fraction 2/13 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 13. 39 is the LCM of 3 and 13. Multiplying the LCM 39 with the numerators and denominators of both fractions (10/3 x 39/39) - (2/13 x 39/39), and simplify further in order to have the common denominator. So the equivalent fraction for 10/3 is 130/39 and for 2/13 is 6/39. By simplifying this fraction subtraction 130/39 - 6/39, it becomes 124/39.

CALCULATION: 10/3 - 2/13 as a fraction
10/3 - 2/13 = (?)
10/3 - 2/13 = [(10 x 13) - (2 x 3)]/(3 x 13)
= (130 - 6)/39
= 124/39
10/3 - 2/13 = 124/39
10/3 minus 2/13 as a fraction is 124/39.

where
10/3 is a improper fraction as a minuend,
2/13 is a proper fraction as a subtrahend,
124/39 is the difference between 10/3 and 2/13.

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10/3 minus 2/13 as a decimal
10/3 - 2/13 = 124/39
124/39 = 3.1795
(10/3) - (2/13) as a decimal is 3.1795

where
3.1795 is the difference between 10/3 and 2/13.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 2/13 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 2/13.
1. LCM method
2. Cross multiplication method.

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

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

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

step 2 Compare the denominators of fractions 10/3 and 2/13 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 10/3 and 2/13 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 2/13:
The LCM of 3 and 13 is 39.

step 4 Write the fractions 10/3 and 2/13 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 10/3 - 2/13
= [(10 x 39)/(3 x 39)] - [(2 x 39)/(13 x 39)]

step 5 Simplify the expression to have common denominator:
= 130/39 - 6/39

step 6 Take the common values out and rewrite the above expression like the below:
= 1/39 x (130/1 - 6/1)
= 1/39 x (130 - 6)

step 7Simplify the above expression further:
= 1/39 x 124
= 124/39
10/3 - 2/13 = 124/39

Hence,
10/3 minus 2/13 as a fraction is 124/39.

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

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

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

step 3 Simplify and rewrite the fraction:
= (130 - 6)/39
10/3 - 2/13 = 124/39

Hence,
10/3 minus 2/13 in fraction is 124/39