7/9 - 11/2 as a fraction

Learn how to find what is 7/9 minus 11/2 in fraction form just in a few minutes. We have covered the easiest method to write 7/9 - 11/2 as a fraction and decimal.

Summary: 7/9 minus 11/2 = -85/18
Since both fractions have unequal denominators, 7/9 minus 11/2 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 7/9 and fraction 11/2 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 2. 18 is the LCM of 9 and 2. Multiplying the LCM 18 with the numerators and denominators of both fractions (7/9 x 18/18) - (11/2 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 11/2 is 99/18. By simplifying this fraction subtraction 14/18 - 99/18, it becomes -85/18.

CALCULATION: 7/9 - 11/2 as a fraction
7/9 - 11/2 = (?)
7/9 - 11/2 = [(7 x 2) - (11 x 9)]/(9 x 2)
= (14 - 99)/18
= -85/18
7/9 - 11/2 = -85/18
7/9 minus 11/2 as a fraction is -85/18.

where
7/9 is a proper fraction as a minuend,
11/2 is a improper fraction as a subtrahend,
-85/18 is the difference between 7/9 and 11/2.

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7/9 minus 11/2 as a decimal
7/9 - 11/2 = -85/18
-85/18 = -4.7222
(7/9) - (11/2) as a decimal is -4.7222

where
-4.7222 is the difference between 7/9 and 11/2.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 11/2 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 11/2.
1. LCM method
2. Cross multiplication method.

(7/9) - (11/2) using LCM Method:
What is 7/9 minus 11/2 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/9
Fraction B: 11/2

What to be found?
(7/9) - (11/2) = ?
Find what's the difference between 7/9 and 11/2.

step 2 Compare the denominators of fractions 7/9 and 11/2 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 7/9 and 11/2 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 11/2:
The LCM of 9 and 2 is 18.

step 4 Write the fractions 7/9 and 11/2 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 7/9 - 11/2
= [(7 x 18)/(9 x 18)] - [(11 x 18)/(2 x 18)]

step 5 Simplify the expression to have common denominator:
= 14/18 - 99/18

step 6 Take the common values out and rewrite the above expression like the below:
= 1/18 x (14/1 - 99/1)
= 1/18 x (14 - 99)

step 7Simplify the above expression further:
= 1/18 x -85
= -85/18
7/9 - 11/2 = -85/18

Hence,
7/9 minus 11/2 as a fraction is -85/18.

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7/9 - 11/2 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/9
Fraction B: 11/2

What to be found?
(7/9)-(11/2) = ?
Find what's the difference between 7/9 and 11/2.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 2), find the product of numerator of Fraction B and denominator of Fraction A (11 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 2) and rewrite the equation as like the below:
= (7 x 2) - (11 x 9)/(9 x 2)

step 3 Simplify and rewrite the fraction:
= (14 - 99)/18
7/9 - 11/2 = -85/18

Hence,
7/9 minus 11/2 in fraction is -85/18