5/7 - 4/9 as a fraction

Learn how to find what is 5/7 minus 4/9 in fraction form just in a few minutes. We have covered the easiest method to write 5/7 - 4/9 as a fraction and decimal.

Summary: 5/7 minus 4/9 = 17/63
Since both fractions have unequal denominators, 5/7 minus 4/9 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 5/7 and fraction 4/9 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 9. 63 is the LCM of 7 and 9. Multiplying the LCM 63 with the numerators and denominators of both fractions (5/7 x 63/63) - (4/9 x 63/63), and simplify further in order to have the common denominator. So the equivalent fraction for 5/7 is 45/63 and for 4/9 is 28/63. By simplifying this fraction subtraction 45/63 - 28/63, it becomes 17/63.

Pie Chart Representation: 5/7 - 4/9 = 17/63

CALCULATION: 5/7 - 4/9 as a fraction
5/7 - 4/9 = (?)
5/7 - 4/9 = [(5 x 9) - (4 x 7)]/(7 x 9)
= (45 - 28)/63
= 17/63
5/7 - 4/9 = 17/63
5/7 minus 4/9 as a fraction is 17/63.

where
5/7 is a proper fraction as a minuend,
4/9 is a proper fraction as a subtrahend,
17/63 is the difference between 5/7 and 4/9.

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5/7 minus 4/9 as a decimal
5/7 - 4/9 = 17/63
17/63 = 0.2698
(5/7) - (4/9) as a decimal is 0.2698

where
0.2698 is the difference between 5/7 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 5/7. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 5/7 minus 4/9.
1. LCM method
2. Cross multiplication method.

(5/7) - (4/9) using LCM Method:
What is 5/7 minus 4/9 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/7
Fraction B: 4/9

What to be found?
(5/7) - (4/9) = ?
Find what's the difference between 5/7 and 4/9.

step 2 Compare the denominators of fractions 5/7 and 4/9 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 5/7 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 5/7 and 4/9:
The LCM of 7 and 9 is 63.

step 4 Write the fractions 5/7 and 4/9 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 5/7 - 4/9
= [(5 x 63)/(7 x 63)] - [(4 x 63)/(9 x 63)]

step 5 Simplify the expression to have common denominator:
= 45/63 - 28/63

step 6 Take the common values out and rewrite the above expression like the below:
= 1/63 x (45/1 - 28/1)
= 1/63 x (45 - 28)

step 7Simplify the above expression further:
= 1/63 x 17
= 17/63
5/7 - 4/9 = 17/63

Hence,
5/7 minus 4/9 as a fraction is 17/63.

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5/7 - 4/9 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/7
Fraction B: 4/9

What to be found?
(5/7)-(4/9) = ?
Find what's the difference between 5/7 and 4/9.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 9), find the product of numerator of Fraction B and denominator of Fraction A (4 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 9) and rewrite the equation as like the below:
= (5 x 9) - (4 x 7)/(7 x 9)

step 3 Simplify and rewrite the fraction:
= (45 - 28)/63
5/7 - 4/9 = 17/63

Hence,
5/7 minus 4/9 in fraction is 17/63