1/9 - 7/6 as a fraction

Learn how to find what is 1/9 minus 7/6 in fraction form just in a few minutes. We have covered the easiest method to write 1/9 - 7/6 as a fraction and decimal.

Summary: 1/9 minus 7/6 = -19/18
Since both fractions have unequal denominators, 1/9 minus 7/6 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 1/9 and fraction 7/6 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 (1/9 x 18/18) - (7/6 x 18/18), and simplify further in order to have the common denominator. So the equivalent fraction for 1/9 is 2/18 and for 7/6 is 21/18. By simplifying this fraction subtraction 2/18 - 21/18, it becomes -19/18.

CALCULATION: 1/9 - 7/6 as a fraction
1/9 - 7/6 = (?)
1/9 - 7/6 = [(1 x 6) - (7 x 9)]/(9 x 6)
= (6 - 63)/54
= -57/54
= (3 x -19)/(3 x 18)
= -19/18
1/9 - 7/6 = -19/18
1/9 minus 7/6 as a fraction is -19/18.

where
1/9 is a proper fraction as a minuend,
7/6 is a improper fraction as a subtrahend,
-19/18 is the difference between 1/9 and 7/6.

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1/9 minus 7/6 as a decimal
1/9 - 7/6 = -19/18
-19/18 = -1.0556
(1/9) - (7/6) as a decimal is -1.0556

where
-1.0556 is the difference between 1/9 and 7/6.

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

(1/9) - (7/6) using LCM Method:
What is 1/9 minus 7/6 as a fraction?

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

What to be found?
(1/9) - (7/6) = ?
Find what's the difference between 1/9 and 7/6.

step 2 Compare the denominators of fractions 1/9 and 7/6 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/9 and 7/6 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 1/9 and 7/6:
The LCM of 9 and 6 is 18.

step 4 Write the fractions 1/9 and 7/6 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/9 - 7/6
= [(1 x 18)/(9 x 18)] - [(7 x 18)/(6 x 18)]

step 5 Simplify the expression to have common denominator:
= 2/18 - 21/18

step 6 Take the common values out and rewrite the above expression like the below:
= 1/18 x (2/1 - 21/1)
= 1/18 x (2 - 21)

step 7Simplify the above expression further:
= 1/18 x -19
= -19/18
1/9 - 7/6 = -19/18

Hence,
1/9 minus 7/6 as a fraction is -19/18.

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

What to be found?
(1/9)-(7/6) = ?
Find what's the difference between 1/9 and 7/6.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 6), find the product of numerator of Fraction B and denominator of Fraction A (7 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:
= (1 x 6) - (7 x 9)/(9 x 6)

step 3 Simplify and rewrite the fraction:
= (6 - 63)/54
= -57/54
= -19/18
1/9 - 7/6 = -19/18

Hence,
1/9 minus 7/6 in fraction is -19/18