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