What is 1/6 minus 5/3 in fraction?
1/6 minus 5/3 equals to -3/2 in fraction form.
Learn how to find what is 1/6 minus 5/3 in fraction form just in a few minutes. We have covered the easiest method to write 1/6 - 5/3 as a fraction and decimal.
Summary: 1/6 minus 5/3
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 1/6 and 5/3 having identical denominators before starting adding the fractions. Find the LCM of denominators, 6 is the LCM of 6 and 3. Multiply the LCM 6 with all the numerators and denominators of both fractions (1/6 x 6/6) - (5/3 x 6/6) and simplify further in order to have the common denominators. By simplifying the fraction subtraction expression becomes -9/6.
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 1/6. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 1/6 minus 5/3.
1. LCM method
2. Cross multiplication method.
1/6-5/3 using LCM Method:
What is 1/6 minus 5/3 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/6
Fraction B: 5/3
What to be found?
1/6-5/3 = ?
Find what's the difference between 1/6 and 5/3.
step 2 Compare the denominators of fractions 1/6 and 5/3 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/6 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 1/6 and 5/3:
The LCM of 6 and 3 is 6.
step 4 Write the fractions 1/6 and 5/3 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=1/6-5/3
=(1 x 6)/(6 x 6)-(5 x 6)/(3 x 6)
step 5 Simplify the expression to have common denominator:
=1/6-10/6
step 6 Take the common values out and rewrite the above expression like the below:
=1/6 x (1/1-10/1)
=1/6 x (1 - 10)
step 7Simplify the above expression further:
=1/6 x -9
= -9/6
=-3/2
1/6-5/3=-3/2
Hence,
1/6 minus 5/3 equals to -3/2 in fraction.
1/6-5/3 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/6
Fraction B: 5/3
What to be found?
1/6-5/3 = ?
Find what's the difference between 1/6 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 6), and find the product of both denominators of Fraction A and Fraction B (6 x 3) and rewrite the equation as like the below:
= (1 x 3) - (5 x 6)/(6 x 3)
step 3 Simplify and rewrite the fraction:
= (3 - 30)/18
= -27/18
= -3/2
1/6-5/3 = -3/2
Hence,
1/6 minus 5/3 = -3/2