The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 7/9 from 5/4. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 5/4 minus 7/9.
1. LCM method
2. Cross multiplication method.
5/4-7/9 using LCM Method:
What is 5/4 minus 7/9 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/4
Fraction B: 7/9
What to be found?
5/4-7/9 = ?
Find what's the difference between 5/4 and 7/9.
step 2 Compare the denominators of fractions 5/4 and 7/9 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 5/4 and 7/9 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 5/4 and 7/9:
The LCM of 4 and 9 is 36.
step 4 Write the fractions 5/4 and 7/9 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=5/4-7/9
=(5 x 36)/(4 x 36)-(7 x 36)/(9 x 36)
step 5 Simplify the expression to have common denominator:
=45/36-28/36
step 6 Take the common values out and rewrite the above expression like the below:
=1/36 x (45/1-28/1)
=1/36 x (45 - 28)
step 7Simplify the above expression further:
=1/36 x 17
=17/36
5/4-7/9=17/36
Hence,
5/4 minus 7/9 equals to 17/36 in fraction.
5/4-7/9 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/4
Fraction B: 7/9
What to be found?
5/4-7/9 = ?
Find what's the difference between 5/4 and 7/9.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 9), find the product of numerator of Fraction B and denominator of Fraction A (7 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 9) and rewrite the equation as like the below:
= (5 x 9) - (7 x 4)/(4 x 9)
step 3 Simplify and rewrite the fraction:
= (45 - 28)/36
5/4-7/9 = 17/36
Hence,
5/4 minus 7/9 = 17/36