4/3 - 9/13 as a fraction

Learn how to find what is 4/3 minus 9/13 in fraction form just in a few minutes. We have covered the easiest method to write 4/3 - 9/13 as a fraction and decimal.

Summary: 4/3 minus 9/13 = 25/39
Since both fractions have unequal denominators, 4/3 minus 9/13 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 4/3 and fraction 9/13 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 (4/3 x 39/39) - (9/13 x 39/39), and simplify further in order to have the common denominator. So the equivalent fraction for 4/3 is 52/39 and for 9/13 is 27/39. By simplifying this fraction subtraction 52/39 - 27/39, it becomes 25/39.

Pie Chart Representation: 4/3 - 9/13 = 25/39

CALCULATION: 4/3 - 9/13 as a fraction
4/3 - 9/13 = (?)
4/3 - 9/13 = [(4 x 13) - (9 x 3)]/(3 x 13)
= (52 - 27)/39
= 25/39
4/3 - 9/13 = 25/39
4/3 minus 9/13 as a fraction is 25/39.

where
4/3 is a improper fraction as a minuend,
9/13 is a proper fraction as a subtrahend,
25/39 is the difference between 4/3 and 9/13.

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4/3 minus 9/13 as a decimal
4/3 - 9/13 = 25/39
25/39 = 0.641
(4/3) - (9/13) as a decimal is 0.641

where
0.641 is the difference between 4/3 and 9/13.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 9/13 from 4/3. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 4/3 minus 9/13.
1. LCM method
2. Cross multiplication method.

(4/3) - (9/13) using LCM Method:
What is 4/3 minus 9/13 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 4/3
Fraction B: 9/13

What to be found?
(4/3) - (9/13) = ?
Find what's the difference between 4/3 and 9/13.

step 2 Compare the denominators of fractions 4/3 and 9/13 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 4/3 and 9/13 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 4/3 and 9/13:
The LCM of 3 and 13 is 39.

step 4 Write the fractions 4/3 and 9/13 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 4/3 - 9/13
= [(4 x 39)/(3 x 39)] - [(9 x 39)/(13 x 39)]

step 5 Simplify the expression to have common denominator:
= 52/39 - 27/39

step 6 Take the common values out and rewrite the above expression like the below:
= 1/39 x (52/1 - 27/1)
= 1/39 x (52 - 27)

step 7Simplify the above expression further:
= 1/39 x 25
= 25/39
4/3 - 9/13 = 25/39

Hence,
4/3 minus 9/13 as a fraction is 25/39.

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4/3 - 9/13 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 4/3
Fraction B: 9/13

What to be found?
(4/3)-(9/13) = ?
Find what's the difference between 4/3 and 9/13.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (4 x 13), find the product of numerator of Fraction B and denominator of Fraction A (9 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:
= (4 x 13) - (9 x 3)/(3 x 13)

step 3 Simplify and rewrite the fraction:
= (52 - 27)/39
4/3 - 9/13 = 25/39

Hence,
4/3 minus 9/13 in fraction is 25/39