The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 1/6 from 8/5. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 8/5 minus 1/6.
1. LCM method
2. Cross multiplication method.
8/5-1/6 using LCM Method:
What is 8/5 minus 1/6 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/5
Fraction B: 1/6
What to be found?
8/5-1/6 = ?
Find what's the difference between 8/5 and 1/6.
step 2 Compare the denominators of fractions 8/5 and 1/6 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 8/5 and 1/6 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 8/5 and 1/6:
The LCM of 5 and 6 is 30.
step 4 Write the fractions 8/5 and 1/6 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=8/5-1/6
=(8 x 30)/(5 x 30)-(1 x 30)/(6 x 30)
step 5 Simplify the expression to have common denominator:
=48/30-5/30
step 6 Take the common values out and rewrite the above expression like the below:
=1/30 x (48/1-5/1)
=1/30 x (48 - 5)
step 7Simplify the above expression further:
=1/30 x 43
=43/30
8/5-1/6=43/30
Hence,
8/5 minus 1/6 equals to 43/30 in fraction.
8/5-1/6 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/5
Fraction B: 1/6
What to be found?
8/5-1/6 = ?
Find what's the difference between 8/5 and 1/6.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (8 x 6), find the product of numerator of Fraction B and denominator of Fraction A (1 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 6) and rewrite the equation as like the below:
= (8 x 6) - (1 x 5)/(5 x 6)
step 3 Simplify and rewrite the fraction:
= (48 - 5)/30
8/5-1/6 = 43/30
Hence,
8/5 minus 1/6 = 43/30