9/8 - 16/13 as a fraction

Learn how to find what is 9/8 minus 16/13 in fraction form just in a few minutes. We have covered the easiest method to write 9/8 - 16/13 as a fraction and decimal.

Summary: 9/8 minus 16/13 = -11/104
Since both fractions have unequal denominators, 9/8 minus 16/13 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 9/8 and fraction 16/13 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 13. 104 is the LCM of 8 and 13. Multiplying the LCM 104 with the numerators and denominators of both fractions (9/8 x 104/104) - (16/13 x 104/104), and simplify further in order to have the common denominator. So the equivalent fraction for 9/8 is 117/104 and for 16/13 is 128/104. By simplifying this fraction subtraction 117/104 - 128/104, it becomes -11/104.

CALCULATION: 9/8 - 16/13 as a fraction
9/8 - 16/13 = (?)
9/8 - 16/13 = [(9 x 13) - (16 x 8)]/(8 x 13)
= (117 - 128)/104
= -11/104
9/8 - 16/13 = -11/104
9/8 minus 16/13 as a fraction is -11/104.

where
9/8 is a improper fraction as a minuend,
16/13 is a improper fraction as a subtrahend,
-11/104 is the difference between 9/8 and 16/13.

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9/8 minus 16/13 as a decimal
9/8 - 16/13 = -11/104
-11/104 = -0.1058
(9/8) - (16/13) as a decimal is -0.1058

where
-0.1058 is the difference between 9/8 and 16/13.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 16/13 from 9/8. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 9/8 minus 16/13.
1. LCM method
2. Cross multiplication method.

(9/8) - (16/13) using LCM Method:
What is 9/8 minus 16/13 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/8
Fraction B: 16/13

What to be found?
(9/8) - (16/13) = ?
Find what's the difference between 9/8 and 16/13.

step 2 Compare the denominators of fractions 9/8 and 16/13 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 9/8 and 16/13 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 9/8 and 16/13:
The LCM of 8 and 13 is 104.

step 4 Write the fractions 9/8 and 16/13 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 9/8 - 16/13
= [(9 x 104)/(8 x 104)] - [(16 x 104)/(13 x 104)]

step 5 Simplify the expression to have common denominator:
= 117/104 - 128/104

step 6 Take the common values out and rewrite the above expression like the below:
= 1/104 x (117/1 - 128/1)
= 1/104 x (117 - 128)

step 7Simplify the above expression further:
= 1/104 x -11
= -11/104
9/8 - 16/13 = -11/104

Hence,
9/8 minus 16/13 as a fraction is -11/104.

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9/8 - 16/13 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/8
Fraction B: 16/13

What to be found?
(9/8)-(16/13) = ?
Find what's the difference between 9/8 and 16/13.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (9 x 13), find the product of numerator of Fraction B and denominator of Fraction A (16 x 8), and find the product of both denominators of Fraction A and Fraction B (8 x 13) and rewrite the equation as like the below:
= (9 x 13) - (16 x 8)/(8 x 13)

step 3 Simplify and rewrite the fraction:
= (117 - 128)/104
9/8 - 16/13 = -11/104

Hence,
9/8 minus 16/13 in fraction is -11/104