What is 2/9 minus 9/12 in fraction?
2/9 minus 9/12 equals to -19/36 in fraction form.
Learn how to find what is 2/9 minus 9/12 in fraction form just in a few minutes. We have covered the easiest method to write 2/9 - 9/12 as a fraction and decimal.
Summary: 2/9 minus 9/12
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 2/9 and 9/12 having identical denominators before starting adding the fractions. Find the LCM of denominators, 36 is the LCM of 9 and 12. Multiply the LCM 36 with all the numerators and denominators of both fractions (2/9 x 36/36) - (9/12 x 36/36) and simplify further in order to have the common denominators. By simplifying the fraction subtraction expression becomes -19/36.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 9/12 from 2/9. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 2/9 minus 9/12.
1. LCM method
2. Cross multiplication method.
2/9-9/12 using LCM Method:
What is 2/9 minus 9/12 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/9
Fraction B: 9/12
What to be found?
2/9-9/12 = ?
Find what's the difference between 2/9 and 9/12.
step 2 Compare the denominators of fractions 2/9 and 9/12 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 2/9 and 9/12 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 2/9 and 9/12:
The LCM of 9 and 12 is 36.
step 4 Write the fractions 2/9 and 9/12 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=2/9-9/12
=(2 x 36)/(9 x 36)-(9 x 36)/(12 x 36)
step 5 Simplify the expression to have common denominator:
=8/36-27/36
step 6 Take the common values out and rewrite the above expression like the below:
=1/36 x (8/1-27/1)
=1/36 x (8 - 27)
step 7Simplify the above expression further:
=1/36 x -19
=-19/36
2/9-9/12=-19/36
Hence,
2/9 minus 9/12 equals to -19/36 in fraction.
2/9-9/12 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/9
Fraction B: 9/12
What to be found?
2/9-9/12 = ?
Find what's the difference between 2/9 and 9/12.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 12), find the product of numerator of Fraction B and denominator of Fraction A (9 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 12) and rewrite the equation as like the below:
= (2 x 12) - (9 x 9)/(9 x 12)
step 3 Simplify and rewrite the fraction:
= (24 - 81)/108
= -57/108
= -19/36
2/9-9/12 = -19/36
Hence,
2/9 minus 9/12 = -19/36