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 7/9. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 7/9 minus 1/6.
1. LCM method
2. Cross multiplication method.
7/9-1/6 using LCM Method:
What is 7/9 minus 1/6 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/9
Fraction B: 1/6
What to be found?
7/9-1/6 = ?
Find what's the difference between 7/9 and 1/6.
step 2 Compare the denominators of fractions 7/9 and 1/6 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 7/9 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 7/9 and 1/6:
The LCM of 9 and 6 is 18.
step 4 Write the fractions 7/9 and 1/6 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=7/9-1/6
=(7 x 18)/(9 x 18)-(1 x 18)/(6 x 18)
step 5 Simplify the expression to have common denominator:
=14/18-3/18
step 6 Take the common values out and rewrite the above expression like the below:
=1/18 x (14/1-3/1)
=1/18 x (14 - 3)
step 7Simplify the above expression further:
=1/18 x 11
=11/18
7/9-1/6=11/18
Hence,
7/9 minus 1/6 equals to 11/18 in fraction.
7/9-1/6 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/9
Fraction B: 1/6
What to be found?
7/9-1/6 = ?
Find what's the difference between 7/9 and 1/6.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 6), find the product of numerator of Fraction B and denominator of Fraction A (1 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 6) and rewrite the equation as like the below:
= (7 x 6) - (1 x 9)/(9 x 6)
step 3 Simplify and rewrite the fraction:
= (42 - 9)/54
= 33/54
= 11/18
7/9-1/6 = 11/18
Hence,
7/9 minus 1/6 = 11/18