What is 6/5 - 5 in fraction?
6/5 - 5 equals to -19/5 in fraction form.
Learn how to find what is 6/5 minus 5 in fraction form just in a few minutes. We have covered the easiest method to write 6/5 - 5 as a fraction and decimal.
Summary: 6/5 minus 5 = -19/5
Since both fractions have unequal denominators, 6/5 minus 5 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 6/5 and fraction 5 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 (6/5 x 5/5) - (5 x 5/5), and simplify further in order to have the common denominator. So the equivalent fraction for 6/5 is 6/5 and for 5 is 25/5. By simplifying this fraction subtraction 6/5 - 25/5, it becomes -19/5.
The below workout with step by step calculation shows how to find the difference between fraction and a whole number by subtracting 5 from 6/5. use any one of the following methods to find the equivalent fraction for 6/5 minus 5.
1. LCM method
2. Cross multiplication method.
(6/5) - (5) using LCM Method:
What is 6/5 minus 5 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 6/5
Fraction B: 5/1
What to be found?
(6/5) - (5) = ?
Find what's the difference between 6/5 and 5.
step 2 Compare the denominators of fractions 6/5 and 5 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 6/5 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 6/5 and 5:
The LCM of 5 and 1 is 5.
step 4 Write the fractions 6/5 and 5 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 6/5 - 5
= [(6 x 5)/(5 x 5)] - [(5 x 5)/(1 x 5)]
step 5 Simplify the expression to have common denominator:
= 6/5 - 25/5
step 6 Take the common values out and rewrite the above expression like the below:
= 1/5 x (6/1 - 25/1)
= 1/5 x (6 - 25)
step 7Simplify the above expression further:
= 1/5 x -19
= -19/5
6/5 - 5 = -19/5
Hence,
6/5 minus 5 as a fraction is -19/5.
6/5 - 5 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 6/5
Fraction B: 5/1
What to be found?
(6/5)-(5) = ?
Find what's the difference between 6/5 and 5.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (6 x 1), find the product of numerator of Fraction B and denominator of Fraction A (5 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:
= (6 x 1) - (5 x 5)/(5 x 1)
step 3 Simplify and rewrite the fraction:
= (6 - 25)/5
6/5 - 5 = -19/5
Hence,
6/5 minus 5 in fraction is -19/5