4/9 - 1/3 as a fraction

Learn how to find what is 4/9 minus 1/3 in fraction form just in a few minutes. We have covered the easiest method to write 4/9 - 1/3 as a fraction and decimal.

Summary: 4/9 minus 1/3 = 1/9
Since both fractions have unequal denominators, 4/9 minus 1/3 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 4/9 and fraction 1/3 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 3. 9 is the LCM of 9 and 3. Multiplying the LCM 9 with the numerators and denominators of both fractions (4/9 x 9/9) - (1/3 x 9/9), and simplify further in order to have the common denominator. So the equivalent fraction for 4/9 is 4/9 and for 1/3 is 3/9. By simplifying this fraction subtraction 4/9 - 3/9, it becomes 1/9.

Pie Chart Representation: 4/9 - 1/3 = 1/9

CALCULATION: 4/9 - 1/3 as a fraction
4/9 - 1/3 = (?)
4/9 - 1/3 = [(4 x 3) - (1 x 9)]/(9 x 3)
= (12 - 9)/27
= 3/27
= (3 x 1)/(3 x 9)
= 1/9
4/9 - 1/3 = 1/9
4/9 minus 1/3 as a fraction is 1/9.

where
4/9 is a proper fraction as a minuend,
1/3 is a proper fraction as a subtrahend,
1/9 is the difference between 4/9 and 1/3.

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4/9 minus 1/3 as a decimal
4/9 - 1/3 = 1/9
1/9 = 0.1111
(4/9) - (1/3) as a decimal is 0.1111

where
0.1111 is the difference between 4/9 and 1/3.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 1/3 from 4/9. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 4/9 minus 1/3.
1. LCM method
2. Cross multiplication method.

(4/9) - (1/3) using LCM Method:
What is 4/9 minus 1/3 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 4/9
Fraction B: 1/3

What to be found?
(4/9) - (1/3) = ?
Find what's the difference between 4/9 and 1/3.

step 2 Compare the denominators of fractions 4/9 and 1/3 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 4/9 and 1/3 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 4/9 and 1/3:
The LCM of 9 and 3 is 9.

step 4 Write the fractions 4/9 and 1/3 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 4/9 - 1/3
= [(4 x 9)/(9 x 9)] - [(1 x 9)/(3 x 9)]

step 5 Simplify the expression to have common denominator:
= 4/9 - 3/9

step 6 Take the common values out and rewrite the above expression like the below:
= 1/9 x (4/1 - 3/1)
= 1/9 x (4 - 3)

step 7Simplify the above expression further:
= 1/9 x 1
= 1/9
4/9 - 1/3 = 1/9

Hence,
4/9 minus 1/3 as a fraction is 1/9.

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4/9 - 1/3 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 4/9
Fraction B: 1/3

What to be found?
(4/9)-(1/3) = ?
Find what's the difference between 4/9 and 1/3.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (4 x 3), 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 3) and rewrite the equation as like the below:
= (4 x 3) - (1 x 9)/(9 x 3)

step 3 Simplify and rewrite the fraction:
= (12 - 9)/27
= 3/27
= 1/9
4/9 - 1/3 = 1/9

Hence,
4/9 minus 1/3 in fraction is 1/9