The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 2/7 from 8/9. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 8/9 minus 2/7.
1. LCM method
2. Cross multiplication method.
8/9-2/7 using LCM Method:
What is 8/9 minus 2/7 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/9
Fraction B: 2/7
What to be found?
8/9-2/7 = ?
Find what's the difference between 8/9 and 2/7.
step 2 Compare the denominators of fractions 8/9 and 2/7 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 8/9 and 2/7 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 8/9 and 2/7:
The LCM of 9 and 7 is 63.
step 4 Write the fractions 8/9 and 2/7 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=8/9-2/7
=(8 x 63)/(9 x 63)-(2 x 63)/(7 x 63)
step 5 Simplify the expression to have common denominator:
=56/63-18/63
step 6 Take the common values out and rewrite the above expression like the below:
=1/63 x (56/1-18/1)
=1/63 x (56 - 18)
step 7Simplify the above expression further:
=1/63 x 38
=38/63
8/9-2/7=38/63
Hence,
8/9 minus 2/7 equals to 38/63 in fraction.
8/9-2/7 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/9
Fraction B: 2/7
What to be found?
8/9-2/7 = ?
Find what's the difference between 8/9 and 2/7.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (8 x 7), find the product of numerator of Fraction B and denominator of Fraction A (2 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 7) and rewrite the equation as like the below:
= (8 x 7) - (2 x 9)/(9 x 7)
step 3 Simplify and rewrite the fraction:
= (56 - 18)/63
8/9-2/7 = 38/63
Hence,
8/9 minus 2/7 = 38/63