3/2 - 8/13 as a fraction

Learn how to find what is 3/2 minus 8/13 in fraction form just in a few minutes. We have covered the easiest method to write 3/2 - 8/13 as a fraction and decimal.

Summary: 3/2 minus 8/13 = 23/26
Since both fractions have unequal denominators, 3/2 minus 8/13 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 3/2 and fraction 8/13 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 13. 26 is the LCM of 2 and 13. Multiplying the LCM 26 with the numerators and denominators of both fractions (3/2 x 26/26) - (8/13 x 26/26), and simplify further in order to have the common denominator. So the equivalent fraction for 3/2 is 39/26 and for 8/13 is 16/26. By simplifying this fraction subtraction 39/26 - 16/26, it becomes 23/26.

Pie Chart Representation: 3/2 - 8/13 = 23/26

CALCULATION: 3/2 - 8/13 as a fraction
3/2 - 8/13 = (?)
3/2 - 8/13 = [(3 x 13) - (8 x 2)]/(2 x 13)
= (39 - 16)/26
= 23/26
3/2 - 8/13 = 23/26
3/2 minus 8/13 as a fraction is 23/26.

where
3/2 is a improper fraction as a minuend,
8/13 is a proper fraction as a subtrahend,
23/26 is the difference between 3/2 and 8/13.

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3/2 minus 8/13 as a decimal
3/2 - 8/13 = 23/26
23/26 = 0.8846
(3/2) - (8/13) as a decimal is 0.8846

where
0.8846 is the difference between 3/2 and 8/13.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 8/13 from 3/2. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 3/2 minus 8/13.
1. LCM method
2. Cross multiplication method.

(3/2) - (8/13) using LCM Method:
What is 3/2 minus 8/13 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/2
Fraction B: 8/13

What to be found?
(3/2) - (8/13) = ?
Find what's the difference between 3/2 and 8/13.

step 2 Compare the denominators of fractions 3/2 and 8/13 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 3/2 and 8/13 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 3/2 and 8/13:
The LCM of 2 and 13 is 26.

step 4 Write the fractions 3/2 and 8/13 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 3/2 - 8/13
= [(3 x 26)/(2 x 26)] - [(8 x 26)/(13 x 26)]

step 5 Simplify the expression to have common denominator:
= 39/26 - 16/26

step 6 Take the common values out and rewrite the above expression like the below:
= 1/26 x (39/1 - 16/1)
= 1/26 x (39 - 16)

step 7Simplify the above expression further:
= 1/26 x 23
= 23/26
3/2 - 8/13 = 23/26

Hence,
3/2 minus 8/13 as a fraction is 23/26.

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3/2 - 8/13 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/2
Fraction B: 8/13

What to be found?
(3/2)-(8/13) = ?
Find what's the difference between 3/2 and 8/13.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 13), find the product of numerator of Fraction B and denominator of Fraction A (8 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 13) and rewrite the equation as like the below:
= (3 x 13) - (8 x 2)/(2 x 13)

step 3 Simplify and rewrite the fraction:
= (39 - 16)/26
3/2 - 8/13 = 23/26

Hence,
3/2 minus 8/13 in fraction is 23/26