9/7 - 11/5 as a fraction

Learn how to find what is 9/7 minus 11/5 in fraction form just in a few minutes. We have covered the easiest method to write 9/7 - 11/5 as a fraction and decimal.

Summary: 9/7 minus 11/5 = -32/35
Since both fractions have unequal denominators, 9/7 minus 11/5 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 9/7 and fraction 11/5 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 5. 35 is the LCM of 7 and 5. Multiplying the LCM 35 with the numerators and denominators of both fractions (9/7 x 35/35) - (11/5 x 35/35), and simplify further in order to have the common denominator. So the equivalent fraction for 9/7 is 45/35 and for 11/5 is 77/35. By simplifying this fraction subtraction 45/35 - 77/35, it becomes -32/35.

CALCULATION: 9/7 - 11/5 as a fraction
9/7 - 11/5 = (?)
9/7 - 11/5 = [(9 x 5) - (11 x 7)]/(7 x 5)
= (45 - 77)/35
= -32/35
9/7 - 11/5 = -32/35
9/7 minus 11/5 as a fraction is -32/35.

where
9/7 is a improper fraction as a minuend,
11/5 is a improper fraction as a subtrahend,
-32/35 is the difference between 9/7 and 11/5.

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9/7 minus 11/5 as a decimal
9/7 - 11/5 = -32/35
-32/35 = -0.9143
(9/7) - (11/5) as a decimal is -0.9143

where
-0.9143 is the difference between 9/7 and 11/5.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 11/5 from 9/7. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 9/7 minus 11/5.
1. LCM method
2. Cross multiplication method.

(9/7) - (11/5) using LCM Method:
What is 9/7 minus 11/5 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/7
Fraction B: 11/5

What to be found?
(9/7) - (11/5) = ?
Find what's the difference between 9/7 and 11/5.

step 2 Compare the denominators of fractions 9/7 and 11/5 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 9/7 and 11/5 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 9/7 and 11/5:
The LCM of 7 and 5 is 35.

step 4 Write the fractions 9/7 and 11/5 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 9/7 - 11/5
= [(9 x 35)/(7 x 35)] - [(11 x 35)/(5 x 35)]

step 5 Simplify the expression to have common denominator:
= 45/35 - 77/35

step 6 Take the common values out and rewrite the above expression like the below:
= 1/35 x (45/1 - 77/1)
= 1/35 x (45 - 77)

step 7Simplify the above expression further:
= 1/35 x -32
= -32/35
9/7 - 11/5 = -32/35

Hence,
9/7 minus 11/5 as a fraction is -32/35.

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9/7 - 11/5 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/7
Fraction B: 11/5

What to be found?
(9/7)-(11/5) = ?
Find what's the difference between 9/7 and 11/5.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (9 x 5), find the product of numerator of Fraction B and denominator of Fraction A (11 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 5) and rewrite the equation as like the below:
= (9 x 5) - (11 x 7)/(7 x 5)

step 3 Simplify and rewrite the fraction:
= (45 - 77)/35
9/7 - 11/5 = -32/35

Hence,
9/7 minus 11/5 in fraction is -32/35