What is 5/2 minus 7/9 in fraction?
5/2 minus 7/9 equals to 31/18 in fraction form.
Learn how to find what is 5/2 minus 7/9 in fraction form just in a few minutes. We have covered the easiest method to write 5/2 - 7/9 as a fraction and decimal.
Summary: 5/2 minus 7/9
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 5/2 and 7/9 having identical denominators before starting adding the fractions. Find the LCM of denominators, 18 is the LCM of 2 and 9. Multiply the LCM 18 with all the numerators and denominators of both fractions (5/2 x 18/18) - (7/9 x 18/18) and simplify further in order to have the common denominators. By simplifying the fraction subtraction expression becomes 31/18.
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 5/2. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 5/2 minus 7/9.
1. LCM method
2. Cross multiplication method.
5/2-7/9 using LCM Method:
What is 5/2 minus 7/9 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/2
Fraction B: 7/9
What to be found?
5/2-7/9 = ?
Find what's the difference between 5/2 and 7/9.
step 2 Compare the denominators of fractions 5/2 and 7/9 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 5/2 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 5/2 and 7/9:
The LCM of 2 and 9 is 18.
step 4 Write the fractions 5/2 and 7/9 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=5/2-7/9
=(5 x 18)/(2 x 18)-(7 x 18)/(9 x 18)
step 5 Simplify the expression to have common denominator:
=45/18-14/18
step 6 Take the common values out and rewrite the above expression like the below:
=1/18 x (45/1-14/1)
=1/18 x (45 - 14)
step 7Simplify the above expression further:
=1/18 x 31
=31/18
5/2-7/9=31/18
Hence,
5/2 minus 7/9 equals to 31/18 in fraction.
5/2-7/9 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/2
Fraction B: 7/9
What to be found?
5/2-7/9 = ?
Find what's the difference between 5/2 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 2), and find the product of both denominators of Fraction A and Fraction B (2 x 9) and rewrite the equation as like the below:
= (5 x 9) - (7 x 2)/(2 x 9)
step 3 Simplify and rewrite the fraction:
= (45 - 14)/18
5/2-7/9 = 31/18
Hence,
5/2 minus 7/9 = 31/18