7/9 - 13/6 as a fraction

Learn how to find what is 7/9 minus 13/6 in fraction form just in a few minutes. We have covered the easiest method to write 7/9 - 13/6 as a fraction and decimal.

Summary: 7/9 minus 13/6 = -25/18
Since both fractions have unequal denominators, 7/9 minus 13/6 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 7/9 and fraction 13/6 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 6. 18 is the LCM of 9 and 6. Multiplying the LCM 18 with the numerators and denominators of both fractions (7/9 x 18/18) - (13/6 x 18/18), and simplify further in order to have the common denominator. So the equivalent fraction for 7/9 is 14/18 and for 13/6 is 39/18. By simplifying this fraction subtraction 14/18 - 39/18, it becomes -25/18.

CALCULATION: 7/9 - 13/6 as a fraction
7/9 - 13/6 = (?)
7/9 - 13/6 = [(7 x 6) - (13 x 9)]/(9 x 6)
= (42 - 117)/54
= -75/54
= (3 x -25)/(3 x 18)
= -25/18
7/9 - 13/6 = -25/18
7/9 minus 13/6 as a fraction is -25/18.

where
7/9 is a proper fraction as a minuend,
13/6 is a improper fraction as a subtrahend,
-25/18 is the difference between 7/9 and 13/6.

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7/9 minus 13/6 as a decimal
7/9 - 13/6 = -25/18
-25/18 = -1.3889
(7/9) - (13/6) as a decimal is -1.3889

where
-1.3889 is the difference between 7/9 and 13/6.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 13/6 from 7/9. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 7/9 minus 13/6.
1. LCM method
2. Cross multiplication method.

(7/9) - (13/6) using LCM Method:
What is 7/9 minus 13/6 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/9
Fraction B: 13/6

What to be found?
(7/9) - (13/6) = ?
Find what's the difference between 7/9 and 13/6.

step 2 Compare the denominators of fractions 7/9 and 13/6 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 7/9 and 13/6 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 7/9 and 13/6:
The LCM of 9 and 6 is 18.

step 4 Write the fractions 7/9 and 13/6 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 7/9 - 13/6
= [(7 x 18)/(9 x 18)] - [(13 x 18)/(6 x 18)]

step 5 Simplify the expression to have common denominator:
= 14/18 - 39/18

step 6 Take the common values out and rewrite the above expression like the below:
= 1/18 x (14/1 - 39/1)
= 1/18 x (14 - 39)

step 7Simplify the above expression further:
= 1/18 x -25
= -25/18
7/9 - 13/6 = -25/18

Hence,
7/9 minus 13/6 as a fraction is -25/18.

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7/9 - 13/6 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/9
Fraction B: 13/6

What to be found?
(7/9)-(13/6) = ?
Find what's the difference between 7/9 and 13/6.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 6), find the product of numerator of Fraction B and denominator of Fraction A (13 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 6) and rewrite the equation as like the below:
= (7 x 6) - (13 x 9)/(9 x 6)

step 3 Simplify and rewrite the fraction:
= (42 - 117)/54
= -75/54
= -25/18
7/9 - 13/6 = -25/18

Hence,
7/9 minus 13/6 in fraction is -25/18