What is 7/5 minus 5/9 in fraction?
7/5 minus 5/9 equals to 38/45 in fraction form.
Learn how to find what is 7/5 minus 5/9 in fraction form just in a few minutes. We have covered the easiest method to write 7/5 - 5/9 as a fraction and decimal.
Summary: 7/5 minus 5/9
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 7/5 and 5/9 having identical denominators before starting adding the fractions. Find the LCM of denominators, 45 is the LCM of 5 and 9. Multiply the LCM 45 with all the numerators and denominators of both fractions (7/5 x 45/45) - (5/9 x 45/45) and simplify further in order to have the common denominators. By simplifying the fraction subtraction expression becomes 38/45.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 5/9 from 7/5. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 7/5 minus 5/9.
1. LCM method
2. Cross multiplication method.
7/5-5/9 using LCM Method:
What is 7/5 minus 5/9 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/5
Fraction B: 5/9
What to be found?
7/5-5/9 = ?
Find what's the difference between 7/5 and 5/9.
step 2 Compare the denominators of fractions 7/5 and 5/9 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 7/5 and 5/9 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 7/5 and 5/9:
The LCM of 5 and 9 is 45.
step 4 Write the fractions 7/5 and 5/9 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=7/5-5/9
=(7 x 45)/(5 x 45)-(5 x 45)/(9 x 45)
step 5 Simplify the expression to have common denominator:
=63/45-25/45
step 6 Take the common values out and rewrite the above expression like the below:
=1/45 x (63/1-25/1)
=1/45 x (63 - 25)
step 7Simplify the above expression further:
=1/45 x 38
=38/45
7/5-5/9=38/45
Hence,
7/5 minus 5/9 equals to 38/45 in fraction.
7/5-5/9 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/5
Fraction B: 5/9
What to be found?
7/5-5/9 = ?
Find what's the difference between 7/5 and 5/9.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 9), find the product of numerator of Fraction B and denominator of Fraction A (5 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 9) and rewrite the equation as like the below:
= (7 x 9) - (5 x 5)/(5 x 9)
step 3 Simplify and rewrite the fraction:
= (63 - 25)/45
7/5-5/9 = 38/45
Hence,
7/5 minus 5/9 = 38/45