What is 1/6 minus 5/2 in fraction?
1/6 minus 5/2 equals to -7/3 in fraction form.
Learn how to find what is 1/6 minus 5/2 in fraction form just in a few minutes. We have covered the easiest method to write 1/6 - 5/2 as a fraction and decimal.
Summary: 1/6 minus 5/2
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 1/6 and 5/2 having identical denominators before starting adding the fractions. Find the LCM of denominators, 6 is the LCM of 6 and 2. Multiply the LCM 6 with all the numerators and denominators of both fractions (1/6 x 6/6) - (5/2 x 6/6) and simplify further in order to have the common denominators. By simplifying the fraction subtraction expression becomes -14/6.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 5/2 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 5/2.
1. LCM method
2. Cross multiplication method.
1/6-5/2 using LCM Method:
What is 1/6 minus 5/2 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/6
Fraction B: 5/2
What to be found?
1/6-5/2 = ?
Find what's the difference between 1/6 and 5/2.
step 2 Compare the denominators of fractions 1/6 and 5/2 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/6 and 5/2 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 5/2:
The LCM of 6 and 2 is 6.
step 4 Write the fractions 1/6 and 5/2 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=1/6-5/2
=(1 x 6)/(6 x 6)-(5 x 6)/(2 x 6)
step 5 Simplify the expression to have common denominator:
=1/6-15/6
step 6 Take the common values out and rewrite the above expression like the below:
=1/6 x (1/1-15/1)
=1/6 x (1 - 15)
step 7Simplify the above expression further:
=1/6 x -14
= -14/6
=-7/3
1/6-5/2=-7/3
Hence,
1/6 minus 5/2 equals to -7/3 in fraction.
1/6-5/2 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/6
Fraction B: 5/2
What to be found?
1/6-5/2 = ?
Find what's the difference between 1/6 and 5/2.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 2), 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 2) and rewrite the equation as like the below:
= (1 x 2) - (5 x 6)/(6 x 2)
step 3 Simplify and rewrite the fraction:
= (2 - 30)/12
= -28/12
= -7/3
1/6-5/2 = -7/3
Hence,
1/6 minus 5/2 = -7/3