The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 2/5 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 2/5.
1. LCM method
2. Cross multiplication method.
7/9-2/5 using LCM Method:
What is 7/9 minus 2/5 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/9
Fraction B: 2/5
What to be found?
7/9-2/5 = ?
Find what's the difference between 7/9 and 2/5.
step 2 Compare the denominators of fractions 7/9 and 2/5 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 7/9 and 2/5 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 2/5:
The LCM of 9 and 5 is 45.
step 4 Write the fractions 7/9 and 2/5 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=7/9-2/5
=(7 x 45)/(9 x 45)-(2 x 45)/(5 x 45)
step 5 Simplify the expression to have common denominator:
=35/45-18/45
step 6 Take the common values out and rewrite the above expression like the below:
=1/45 x (35/1-18/1)
=1/45 x (35 - 18)
step 7Simplify the above expression further:
=1/45 x 17
=17/45
7/9-2/5=17/45
Hence,
7/9 minus 2/5 equals to 17/45 in fraction.
7/9-2/5 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/9
Fraction B: 2/5
What to be found?
7/9-2/5 = ?
Find what's the difference between 7/9 and 2/5.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 5), 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 5) and rewrite the equation as like the below:
= (7 x 5) - (2 x 9)/(9 x 5)
step 3 Simplify and rewrite the fraction:
= (35 - 18)/45
7/9-2/5 = 17/45
Hence,
7/9 minus 2/5 = 17/45