13/1 - 13/17 as a fraction

Learn how to find what is 13/1 minus 13/17 in fraction form just in a few minutes. We have covered the easiest method to write 13/1 - 13/17 as a fraction and decimal.

Summary: 13/1 minus 13/17 = 208/17
Since both fractions have unequal denominators, 13/1 minus 13/17 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 13/1 and fraction 13/17 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 1 and 17. 17 is the LCM of 1 and 17. Multiplying the LCM 17 with the numerators and denominators of both fractions (13/1 x 17/17) - (13/17 x 17/17), and simplify further in order to have the common denominator. So the equivalent fraction for 13/1 is 221/17 and for 13/17 is 13/17. By simplifying this fraction subtraction 221/17 - 13/17, it becomes 208/17.

CALCULATION: 13/1 - 13/17 as a fraction
13/1 - 13/17 = (?)
13/1 - 13/17 = [(13 x 17) - (13 x 1)]/(1 x 17)
= (221 - 13)/17
= 208/17
13/1 - 13/17 = 208/17
13/1 minus 13/17 as a fraction is 208/17.

where
13/1 is a improper fraction as a minuend,
13/17 is a proper fraction as a subtrahend,
208/17 is the difference between 13/1 and 13/17.

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13/1 minus 13/17 as a decimal
13/1 - 13/17 = 208/17
208/17 = 12.2353
(13/1) - (13/17) as a decimal is 12.2353

where
12.2353 is the difference between 13/1 and 13/17.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 13/17 from 13/1. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 13/1 minus 13/17.
1. LCM method
2. Cross multiplication method.

(13/1) - (13/17) using LCM Method:
What is 13/1 minus 13/17 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/1
Fraction B: 13/17

What to be found?
(13/1) - (13/17) = ?
Find what's the difference between 13/1 and 13/17.

step 2 Compare the denominators of fractions 13/1 and 13/17 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 13/1 and 13/17 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 13/1 and 13/17:
The LCM of 1 and 17 is 17.

step 4 Write the fractions 13/1 and 13/17 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 13/1 - 13/17
= [(13 x 17)/(1 x 17)] - [(13 x 17)/(17 x 17)]

step 5 Simplify the expression to have common denominator:
= 221/17 - 13/17

step 6 Take the common values out and rewrite the above expression like the below:
= 1/17 x (221/1 - 13/1)
= 1/17 x (221 - 13)

step 7Simplify the above expression further:
= 1/17 x 208
= 208/17
13/1 - 13/17 = 208/17

Hence,
13/1 minus 13/17 as a fraction is 208/17.

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13/1 - 13/17 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/1
Fraction B: 13/17

What to be found?
(13/1)-(13/17) = ?
Find what's the difference between 13/1 and 13/17.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (13 x 17), find the product of numerator of Fraction B and denominator of Fraction A (13 x 1), and find the product of both denominators of Fraction A and Fraction B (1 x 17) and rewrite the equation as like the below:
= (13 x 17) - (13 x 1)/(1 x 17)

step 3 Simplify and rewrite the fraction:
= (221 - 13)/17
13/1 - 13/17 = 208/17

Hence,
13/1 minus 13/17 in fraction is 208/17