1/3 - 5 as a fraction

Learn how to find what is 1/3 minus 5 in fraction form just in a few minutes. We have covered the easiest method to write 1/3 - 5 as a fraction and decimal.

Summary: 1/3 minus 5 = -14/3
Since both fractions have unequal denominators, 1/3 minus 5 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 1/3 and fraction 5 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 1. 3 is the LCM of 3 and 1. Multiplying the LCM 3 with the numerators and denominators of both fractions (1/3 x 3/3) - (5 x 3/3), and simplify further in order to have the common denominator. So the equivalent fraction for 1/3 is 1/3 and for 5 is 15/3. By simplifying this fraction subtraction 1/3 - 15/3, it becomes -14/3.

CALCULATION: 1/3 - 5 as a fraction
1/3 - 5 = (?)
1/3 - 5/1 = [(1 x 1) - (5 x 3)]/(3 x 1)
= (1 - 15)/3
= -14/3
1/3 - 5 = -14/3
1/3 minus 5 as a fraction is -14/3.

where
1/3 is a proper fraction as a minuend,
5 is a whole number as a subtrahend,
-14/3 is the difference between 1/3 and 5.

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1/3 minus 5 as a decimal
1/3 - 5 = -14/3
-14/3 = -4.6667
(1/3) - (5) as a decimal is -4.6667

where
-4.6667 is the difference between 1/3 and 5.

The below workout with step by step calculation shows how to find the difference between fraction and a whole number by subtracting 5 from 1/3. use any one of the following methods to find the equivalent fraction for 1/3 minus 5.
1. LCM method
2. Cross multiplication method.

(1/3) - (5) using LCM Method:
What is 1/3 minus 5 as a fraction?

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

What to be found?
(1/3) - (5) = ?
Find what's the difference between 1/3 and 5.

step 2 Compare the denominators of fractions 1/3 and 5 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/3 and 5 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 1/3 and 5:
The LCM of 3 and 1 is 3.

step 4 Write the fractions 1/3 and 5 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/3 - 5
= [(1 x 3)/(3 x 3)] - [(5 x 3)/(1 x 3)]

step 5 Simplify the expression to have common denominator:
= 1/3 - 15/3

step 6 Take the common values out and rewrite the above expression like the below:
= 1/3 x (1/1 - 15/1)
= 1/3 x (1 - 15)

step 7Simplify the above expression further:
= 1/3 x -14
= -14/3
1/3 - 5 = -14/3

Hence,
1/3 minus 5 as a fraction is -14/3.

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

What to be found?
(1/3)-(5) = ?
Find what's the difference between 1/3 and 5.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 1), find the product of numerator of Fraction B and denominator of Fraction A (5 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 1) and rewrite the equation as like the below:
= (1 x 1) - (5 x 3)/(3 x 1)

step 3 Simplify and rewrite the fraction:
= (1 - 15)/3
1/3 - 5 = -14/3

Hence,
1/3 minus 5 in fraction is -14/3