9/2 - 16/13 as a fraction

Learn how to find what is 9/2 minus 16/13 in fraction form just in a few minutes. We have covered the easiest method to write 9/2 - 16/13 as a fraction and decimal.

Summary: 9/2 minus 16/13 = 85/26
Since both fractions have unequal denominators, 9/2 minus 16/13 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 9/2 and fraction 16/13 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 13. 26 is the LCM of 2 and 13. Multiplying the LCM 26 with the numerators and denominators of both fractions (9/2 x 26/26) - (16/13 x 26/26), and simplify further in order to have the common denominator. So the equivalent fraction for 9/2 is 117/26 and for 16/13 is 32/26. By simplifying this fraction subtraction 117/26 - 32/26, it becomes 85/26.

CALCULATION: 9/2 - 16/13 as a fraction
9/2 - 16/13 = (?)
9/2 - 16/13 = [(9 x 13) - (16 x 2)]/(2 x 13)
= (117 - 32)/26
= 85/26
9/2 - 16/13 = 85/26
9/2 minus 16/13 as a fraction is 85/26.

where
9/2 is a improper fraction as a minuend,
16/13 is a improper fraction as a subtrahend,
85/26 is the difference between 9/2 and 16/13.

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9/2 minus 16/13 as a decimal
9/2 - 16/13 = 85/26
85/26 = 3.2692
(9/2) - (16/13) as a decimal is 3.2692

where
3.2692 is the difference between 9/2 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 9/2. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 9/2 minus 16/13.
1. LCM method
2. Cross multiplication method.

(9/2) - (16/13) using LCM Method:
What is 9/2 minus 16/13 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/2
Fraction B: 16/13

What to be found?
(9/2) - (16/13) = ?
Find what's the difference between 9/2 and 16/13.

step 2 Compare the denominators of fractions 9/2 and 16/13 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 9/2 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 9/2 and 16/13:
The LCM of 2 and 13 is 26.

step 4 Write the fractions 9/2 and 16/13 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 9/2 - 16/13
= [(9 x 26)/(2 x 26)] - [(16 x 26)/(13 x 26)]

step 5 Simplify the expression to have common denominator:
= 117/26 - 32/26

step 6 Take the common values out and rewrite the above expression like the below:
= 1/26 x (117/1 - 32/1)
= 1/26 x (117 - 32)

step 7Simplify the above expression further:
= 1/26 x 85
= 85/26
9/2 - 16/13 = 85/26

Hence,
9/2 minus 16/13 as a fraction is 85/26.

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9/2 - 16/13 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/2
Fraction B: 16/13

What to be found?
(9/2)-(16/13) = ?
Find what's the difference between 9/2 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 2), and find the product of both denominators of Fraction A and Fraction B (2 x 13) and rewrite the equation as like the below:
= (9 x 13) - (16 x 2)/(2 x 13)

step 3 Simplify and rewrite the fraction:
= (117 - 32)/26
9/2 - 16/13 = 85/26

Hence,
9/2 minus 16/13 in fraction is 85/26