3 - 4/9 as a fraction

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

Summary: 3 minus 4/9 = 23/9
Since both fractions have unequal denominators, 3 minus 4/9 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 3 and fraction 4/9 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 1 and 9. 9 is the LCM of 1 and 9. Multiplying the LCM 9 with the numerators and denominators of both fractions (3 x 9/9) - (4/9 x 9/9), and simplify further in order to have the common denominator. So the equivalent fraction for 3 is 27/9 and for 4/9 is 4/9. By simplifying this fraction subtraction 27/9 - 4/9, it becomes 23/9.

CALCULATION: 3 - 4/9 as a fraction
3 - 4/9 = (?)
3/1 - 4/9 = [(3 x 9) - (4 x 1)]/(1 x 9)
= (27 - 4)/9
= 23/9
3 - 4/9 = 23/9
3 minus 4/9 as a fraction is 23/9.

where
3 is a whole number as a minuend,
4/9 is a proper fraction as a subtrahend,
23/9 is the difference between 3 and 4/9.

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3 minus 4/9 as a decimal
3 - 4/9 = 23/9
23/9 = 2.5556
(3) - (4/9) as a decimal is 2.5556

where
2.5556 is the difference between 3 and 4/9.

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

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

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

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

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

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

step 5 Simplify the expression to have common denominator:
= 27/9 - 4/9

step 6 Take the common values out and rewrite the above expression like the below:
= 1/9 x (27/1 - 4/1)
= 1/9 x (27 - 4)

step 7Simplify the above expression further:
= 1/9 x 23
= 23/9
3 - 4/9 = 23/9

Hence,
3 minus 4/9 as a fraction is 23/9.

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

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

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

step 3 Simplify and rewrite the fraction:
= (27 - 4)/9
3 - 4/9 = 23/9

Hence,
3 minus 4/9 in fraction is 23/9