What is 2/5 minus 2/9 in fraction?
2/5 minus 2/9 equals to 8/45 in fraction form.
Learn how to find what is 2/5 minus 2/9 in fraction form just in a few minutes. We have covered the easiest method to write 2/5 - 2/9 as a fraction and decimal.
Summary: 2/5 minus 2/9
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 2/5 and 2/9 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 (2/5 x 45/45) - (2/9 x 45/45) and simplify further in order to have the common denominators. By simplifying the fraction subtraction expression becomes 8/45.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 2/9 from 2/5. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 2/5 minus 2/9.
1. LCM method
2. Cross multiplication method.
2/5-2/9 using LCM Method:
What is 2/5 minus 2/9 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/5
Fraction B: 2/9
What to be found?
2/5-2/9 = ?
Find what's the difference between 2/5 and 2/9.
step 2 Compare the denominators of fractions 2/5 and 2/9 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 2/5 and 2/9 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 2/5 and 2/9:
The LCM of 5 and 9 is 45.
step 4 Write the fractions 2/5 and 2/9 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=2/5-2/9
=(2 x 45)/(5 x 45)-(2 x 45)/(9 x 45)
step 5 Simplify the expression to have common denominator:
=18/45-10/45
step 6 Take the common values out and rewrite the above expression like the below:
=1/45 x (18/1-10/1)
=1/45 x (18 - 10)
step 7Simplify the above expression further:
=1/45 x 8
=8/45
2/5-2/9=8/45
Hence,
2/5 minus 2/9 equals to 8/45 in fraction.
2/5-2/9 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/5
Fraction B: 2/9
What to be found?
2/5-2/9 = ?
Find what's the difference between 2/5 and 2/9.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 9), find the product of numerator of Fraction B and denominator of Fraction A (2 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:
= (2 x 9) - (2 x 5)/(5 x 9)
step 3 Simplify and rewrite the fraction:
= (18 - 10)/45
2/5-2/9 = 8/45
Hence,
2/5 minus 2/9 = 8/45