What is 5/9 minus 1/5 in fraction?
5/9 minus 1/5 equals to 16/45 in fraction form.
Learn how to find what is 5/9 minus 1/5 in fraction form just in a few minutes. We have covered the easiest method to write 5/9 - 1/5 as a fraction and decimal.
Summary: 5/9 minus 1/5
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 5/9 and 1/5 having identical denominators before starting adding the fractions. Find the LCM of denominators, 45 is the LCM of 9 and 5. Multiply the LCM 45 with all the numerators and denominators of both fractions (5/9 x 45/45) - (1/5 x 45/45) and simplify further in order to have the common denominators. By simplifying the fraction subtraction expression becomes 16/45.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 1/5 from 5/9. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 5/9 minus 1/5.
1. LCM method
2. Cross multiplication method.
5/9-1/5 using LCM Method:
What is 5/9 minus 1/5 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/9
Fraction B: 1/5
What to be found?
5/9-1/5 = ?
Find what's the difference between 5/9 and 1/5.
step 2 Compare the denominators of fractions 5/9 and 1/5 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 5/9 and 1/5 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 5/9 and 1/5:
The LCM of 9 and 5 is 45.
step 4 Write the fractions 5/9 and 1/5 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=5/9-1/5
=(5 x 45)/(9 x 45)-(1 x 45)/(5 x 45)
step 5 Simplify the expression to have common denominator:
=25/45-9/45
step 6 Take the common values out and rewrite the above expression like the below:
=1/45 x (25/1-9/1)
=1/45 x (25 - 9)
step 7Simplify the above expression further:
=1/45 x 16
=16/45
5/9-1/5=16/45
Hence,
5/9 minus 1/5 equals to 16/45 in fraction.
5/9-1/5 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/9
Fraction B: 1/5
What to be found?
5/9-1/5 = ?
Find what's the difference between 5/9 and 1/5.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 5), find the product of numerator of Fraction B and denominator of Fraction A (1 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:
= (5 x 5) - (1 x 9)/(9 x 5)
step 3 Simplify and rewrite the fraction:
= (25 - 9)/45
5/9-1/5 = 16/45
Hence,
5/9 minus 1/5 = 16/45