What is 1/5 minus 5/3 in fraction?
1/5 minus 5/3 equals to -22/15 in fraction form.
Learn how to find what is 1/5 minus 5/3 in fraction form just in a few minutes. We have covered the easiest method to write 1/5 - 5/3 as a fraction and decimal.
Summary: 1/5 minus 5/3
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 1/5 and 5/3 having identical denominators before starting adding the fractions. Find the LCM of denominators, 15 is the LCM of 5 and 3. Multiply the LCM 15 with all the numerators and denominators of both fractions (1/5 x 15/15) - (5/3 x 15/15) and simplify further in order to have the common denominators. By simplifying the fraction subtraction expression becomes -22/15.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 5/3 from 1/5. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 1/5 minus 5/3.
1. LCM method
2. Cross multiplication method.
1/5-5/3 using LCM Method:
What is 1/5 minus 5/3 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/5
Fraction B: 5/3
What to be found?
1/5-5/3 = ?
Find what's the difference between 1/5 and 5/3.
step 2 Compare the denominators of fractions 1/5 and 5/3 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/5 and 5/3 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 1/5 and 5/3:
The LCM of 5 and 3 is 15.
step 4 Write the fractions 1/5 and 5/3 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=1/5-5/3
=(1 x 15)/(5 x 15)-(5 x 15)/(3 x 15)
step 5 Simplify the expression to have common denominator:
=3/15-25/15
step 6 Take the common values out and rewrite the above expression like the below:
=1/15 x (3/1-25/1)
=1/15 x (3 - 25)
step 7Simplify the above expression further:
=1/15 x -22
=-22/15
1/5-5/3=-22/15
Hence,
1/5 minus 5/3 equals to -22/15 in fraction.
1/5-5/3 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/5
Fraction B: 5/3
What to be found?
1/5-5/3 = ?
Find what's the difference between 1/5 and 5/3.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 3), 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 3) and rewrite the equation as like the below:
= (1 x 3) - (5 x 5)/(5 x 3)
step 3 Simplify and rewrite the fraction:
= (3 - 25)/15
1/5-5/3 = -22/15
Hence,
1/5 minus 5/3 = -22/15