2/1 - 3/13 as a fraction

Learn how to find what is 2/1 minus 3/13 in fraction form just in a few minutes. We have covered the easiest method to write 2/1 - 3/13 as a fraction and decimal.

Summary: 2/1 minus 3/13 = 23/13
Since both fractions have unequal denominators, 2/1 minus 3/13 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 2/1 and fraction 3/13 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 1 and 13. 13 is the LCM of 1 and 13. Multiplying the LCM 13 with the numerators and denominators of both fractions (2/1 x 13/13) - (3/13 x 13/13), and simplify further in order to have the common denominator. So the equivalent fraction for 2/1 is 26/13 and for 3/13 is 3/13. By simplifying this fraction subtraction 26/13 - 3/13, it becomes 23/13.

CALCULATION: 2/1 - 3/13 as a fraction
2/1 - 3/13 = (?)
2/1 - 3/13 = [(2 x 13) - (3 x 1)]/(1 x 13)
= (26 - 3)/13
= 23/13
2/1 - 3/13 = 23/13
2/1 minus 3/13 as a fraction is 23/13.

where
2/1 is a improper fraction as a minuend,
3/13 is a proper fraction as a subtrahend,
23/13 is the difference between 2/1 and 3/13.

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2/1 minus 3/13 as a decimal
2/1 - 3/13 = 23/13
23/13 = 1.7692
(2/1) - (3/13) as a decimal is 1.7692

where
1.7692 is the difference between 2/1 and 3/13.

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

(2/1) - (3/13) using LCM Method:
What is 2/1 minus 3/13 as a fraction?

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

What to be found?
(2/1) - (3/13) = ?
Find what's the difference between 2/1 and 3/13.

step 2 Compare the denominators of fractions 2/1 and 3/13 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 2/1 and 3/13 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 2/1 and 3/13:
The LCM of 1 and 13 is 13.

step 4 Write the fractions 2/1 and 3/13 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/1 - 3/13
= [(2 x 13)/(1 x 13)] - [(3 x 13)/(13 x 13)]

step 5 Simplify the expression to have common denominator:
= 26/13 - 3/13

step 6 Take the common values out and rewrite the above expression like the below:
= 1/13 x (26/1 - 3/1)
= 1/13 x (26 - 3)

step 7Simplify the above expression further:
= 1/13 x 23
= 23/13
2/1 - 3/13 = 23/13

Hence,
2/1 minus 3/13 as a fraction is 23/13.

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

What to be found?
(2/1)-(3/13) = ?
Find what's the difference between 2/1 and 3/13.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 13), find the product of numerator of Fraction B and denominator of Fraction A (3 x 1), and find the product of both denominators of Fraction A and Fraction B (1 x 13) and rewrite the equation as like the below:
= (2 x 13) - (3 x 1)/(1 x 13)

step 3 Simplify and rewrite the fraction:
= (26 - 3)/13
2/1 - 3/13 = 23/13

Hence,
2/1 minus 3/13 in fraction is 23/13