13/5 - 4 as a fraction

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

Summary: 13/5 minus 4 = -7/5
Since both fractions have unequal denominators, 13/5 minus 4 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 13/5 and fraction 4 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 1. 5 is the LCM of 5 and 1. Multiplying the LCM 5 with the numerators and denominators of both fractions (13/5 x 5/5) - (4 x 5/5), and simplify further in order to have the common denominator. So the equivalent fraction for 13/5 is 13/5 and for 4 is 20/5. By simplifying this fraction subtraction 13/5 - 20/5, it becomes -7/5.

CALCULATION: 13/5 - 4 as a fraction
13/5 - 4 = (?)
13/5 - 4/1 = [(13 x 1) - (4 x 5)]/(5 x 1)
= (13 - 20)/5
= -7/5
13/5 - 4 = -7/5
13/5 minus 4 as a fraction is -7/5.

where
13/5 is a improper fraction as a minuend,
4 is a whole number as a subtrahend,
-7/5 is the difference between 13/5 and 4.

---

13/5 minus 4 as a decimal
13/5 - 4 = -7/5
-7/5 = -1.4
(13/5) - (4) as a decimal is -1.4

where
-1.4 is the difference between 13/5 and 4.

The below workout with step by step calculation shows how to find the difference between fraction and a whole number by subtracting 4 from 13/5. use any one of the following methods to find the equivalent fraction for 13/5 minus 4.
1. LCM method
2. Cross multiplication method.

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

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

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

step 2 Compare the denominators of fractions 13/5 and 4 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 13/5 and 4 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 13/5 and 4:
The LCM of 5 and 1 is 5.

step 4 Write the fractions 13/5 and 4 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 13/5 - 4
= [(13 x 5)/(5 x 5)] - [(4 x 5)/(1 x 5)]

step 5 Simplify the expression to have common denominator:
= 13/5 - 20/5

step 6 Take the common values out and rewrite the above expression like the below:
= 1/5 x (13/1 - 20/1)
= 1/5 x (13 - 20)

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

Hence,
13/5 minus 4 as a fraction is -7/5.

---

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

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

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (13 x 1), find the product of numerator of Fraction B and denominator of Fraction A (4 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 1) and rewrite the equation as like the below:
= (13 x 1) - (4 x 5)/(5 x 1)

step 3 Simplify and rewrite the fraction:
= (13 - 20)/5
13/5 - 4 = -7/5

Hence,
13/5 minus 4 in fraction is -7/5