What is 1/6 minus 2/10 in fraction?
1/6 minus 2/10 equals to -1/30 in fraction form.
Learn how to find what is 1/6 minus 2/10 in fraction form just in a few minutes. We have covered the easiest method to write 1/6 - 2/10 as a fraction and decimal.
Summary: 1/6 minus 2/10
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 1/6 and 2/10 having identical denominators before starting adding the fractions. Find the LCM of denominators, 30 is the LCM of 6 and 10. Multiply the LCM 30 with all the numerators and denominators of both fractions (1/6 x 30/30) - (2/10 x 30/30) and simplify further in order to have the common denominators. By simplifying the fraction subtraction expression becomes -1/30.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 2/10 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 2/10.
1. LCM method
2. Cross multiplication method.
1/6-2/10 using LCM Method:
What is 1/6 minus 2/10 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/6
Fraction B: 2/10
What to be found?
1/6-2/10 = ?
Find what's the difference between 1/6 and 2/10.
step 2 Compare the denominators of fractions 1/6 and 2/10 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/6 and 2/10 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 1/6 and 2/10:
The LCM of 6 and 10 is 30.
step 4 Write the fractions 1/6 and 2/10 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=1/6-2/10
=(1 x 30)/(6 x 30)-(2 x 30)/(10 x 30)
step 5 Simplify the expression to have common denominator:
=5/30-6/30
step 6 Take the common values out and rewrite the above expression like the below:
=1/30 x (5/1-6/1)
=1/30 x (5 - 6)
step 7Simplify the above expression further:
=1/30 x -1
=-1/30
1/6-2/10=-1/30
Hence,
1/6 minus 2/10 equals to -1/30 in fraction.
1/6-2/10 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/6
Fraction B: 2/10
What to be found?
1/6-2/10 = ?
Find what's the difference between 1/6 and 2/10.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 10), find the product of numerator of Fraction B and denominator of Fraction A (2 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 10) and rewrite the equation as like the below:
= (1 x 10) - (2 x 6)/(6 x 10)
step 3 Simplify and rewrite the fraction:
= (10 - 12)/60
= -2/60
= -1/30
1/6-2/10 = -1/30
Hence,
1/6 minus 2/10 = -1/30