The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 2/3 from 7/6. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 7/6 minus 2/3.
1. LCM method
2. Cross multiplication method.
7/6-2/3 using LCM Method:
What is 7/6 minus 2/3 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/6
Fraction B: 2/3
What to be found?
7/6-2/3 = ?
Find what's the difference between 7/6 and 2/3.
step 2 Compare the denominators of fractions 7/6 and 2/3 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 7/6 and 2/3 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 7/6 and 2/3:
The LCM of 6 and 3 is 6.
step 4 Write the fractions 7/6 and 2/3 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=7/6-2/3
=(7 x 6)/(6 x 6)-(2 x 6)/(3 x 6)
step 5 Simplify the expression to have common denominator:
=7/6-4/6
step 6 Take the common values out and rewrite the above expression like the below:
=1/6 x (7/1-4/1)
=1/6 x (7 - 4)
step 7Simplify the above expression further:
=1/6 x 3
= 3/6
=1/2
7/6-2/3=1/2
Hence,
7/6 minus 2/3 equals to 1/2 in fraction.
7/6-2/3 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/6
Fraction B: 2/3
What to be found?
7/6-2/3 = ?
Find what's the difference between 7/6 and 2/3.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 3), 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 3) and rewrite the equation as like the below:
= (7 x 3) - (2 x 6)/(6 x 3)
step 3 Simplify and rewrite the fraction:
= (21 - 12)/18
= 9/18
= 1/2
7/6-2/3 = 1/2
Hence,
7/6 minus 2/3 = 1/2