4/5 - 13/3 as a fraction

Learn how to find what is 4/5 minus 13/3 in fraction form just in a few minutes. We have covered the easiest method to write 4/5 - 13/3 as a fraction and decimal.

Summary: 4/5 minus 13/3 = -53/15
Since both fractions have unequal denominators, 4/5 minus 13/3 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 4/5 and fraction 13/3 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 3. 15 is the LCM of 5 and 3. Multiplying the LCM 15 with the numerators and denominators of both fractions (4/5 x 15/15) - (13/3 x 15/15), and simplify further in order to have the common denominator. So the equivalent fraction for 4/5 is 12/15 and for 13/3 is 65/15. By simplifying this fraction subtraction 12/15 - 65/15, it becomes -53/15.

CALCULATION: 4/5 - 13/3 as a fraction
4/5 - 13/3 = (?)
4/5 - 13/3 = [(4 x 3) - (13 x 5)]/(5 x 3)
= (12 - 65)/15
= -53/15
4/5 - 13/3 = -53/15
4/5 minus 13/3 as a fraction is -53/15.

where
4/5 is a proper fraction as a minuend,
13/3 is a improper fraction as a subtrahend,
-53/15 is the difference between 4/5 and 13/3.

---

4/5 minus 13/3 as a decimal
4/5 - 13/3 = -53/15
-53/15 = -3.5333
(4/5) - (13/3) as a decimal is -3.5333

where
-3.5333 is the difference between 4/5 and 13/3.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 13/3 from 4/5. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 4/5 minus 13/3.
1. LCM method
2. Cross multiplication method.

(4/5) - (13/3) using LCM Method:
What is 4/5 minus 13/3 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 4/5
Fraction B: 13/3

What to be found?
(4/5) - (13/3) = ?
Find what's the difference between 4/5 and 13/3.

step 2 Compare the denominators of fractions 4/5 and 13/3 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 4/5 and 13/3 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 4/5 and 13/3:
The LCM of 5 and 3 is 15.

step 4 Write the fractions 4/5 and 13/3 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 4/5 - 13/3
= [(4 x 15)/(5 x 15)] - [(13 x 15)/(3 x 15)]

step 5 Simplify the expression to have common denominator:
= 12/15 - 65/15

step 6 Take the common values out and rewrite the above expression like the below:
= 1/15 x (12/1 - 65/1)
= 1/15 x (12 - 65)

step 7Simplify the above expression further:
= 1/15 x -53
= -53/15
4/5 - 13/3 = -53/15

Hence,
4/5 minus 13/3 as a fraction is -53/15.

---

4/5 - 13/3 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 4/5
Fraction B: 13/3

What to be found?
(4/5)-(13/3) = ?
Find what's the difference between 4/5 and 13/3.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (4 x 3), find the product of numerator of Fraction B and denominator of Fraction A (13 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 3) and rewrite the equation as like the below:
= (4 x 3) - (13 x 5)/(5 x 3)

step 3 Simplify and rewrite the fraction:
= (12 - 65)/15
4/5 - 13/3 = -53/15

Hence,
4/5 minus 13/3 in fraction is -53/15