What is 1/5 - 10 in fraction?
1/5 - 10 equals to -49/5 in fraction form.
Learn how to find what is 1/5 minus 10 in fraction form just in a few minutes. We have covered the easiest method to write 1/5 - 10 as a fraction and decimal.
Summary: 1/5 minus 10 = -49/5
Since both fractions have unequal denominators, 1/5 minus 10 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 1/5 and fraction 10 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 (1/5 x 5/5) - (10 x 5/5), and simplify further in order to have the common denominator. So the equivalent fraction for 1/5 is 1/5 and for 10 is 50/5. By simplifying this fraction subtraction 1/5 - 50/5, it becomes -49/5.
The below workout with step by step calculation shows how to find the difference between fraction and a whole number by subtracting 10 from 1/5. use any one of the following methods to find the equivalent fraction for 1/5 minus 10.
1. LCM method
2. Cross multiplication method.
(1/5) - (10) using LCM Method:
What is 1/5 minus 10 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/5
Fraction B: 10/1
What to be found?
(1/5) - (10) = ?
Find what's the difference between 1/5 and 10.
step 2 Compare the denominators of fractions 1/5 and 10 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/5 and 10 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 1/5 and 10:
The LCM of 5 and 1 is 5.
step 4 Write the fractions 1/5 and 10 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/5 - 10
= [(1 x 5)/(5 x 5)] - [(10 x 5)/(1 x 5)]
step 5 Simplify the expression to have common denominator:
= 1/5 - 50/5
step 6 Take the common values out and rewrite the above expression like the below:
= 1/5 x (1/1 - 50/1)
= 1/5 x (1 - 50)
step 7Simplify the above expression further:
= 1/5 x -49
= -49/5
1/5 - 10 = -49/5
Hence,
1/5 minus 10 as a fraction is -49/5.
1/5 - 10 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/5
Fraction B: 10/1
What to be found?
(1/5)-(10) = ?
Find what's the difference between 1/5 and 10.
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 (10 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:
= (1 x 1) - (10 x 5)/(5 x 1)
step 3 Simplify and rewrite the fraction:
= (1 - 50)/5
1/5 - 10 = -49/5
Hence,
1/5 minus 10 in fraction is -49/5