13/1 - 16/15 as a fraction

Learn how to find what is 13/1 minus 16/15 in fraction form just in a few minutes. We have covered the easiest method to write 13/1 - 16/15 as a fraction and decimal.

Summary: 13/1 minus 16/15 = 179/15
Since both fractions have unequal denominators, 13/1 minus 16/15 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 13/1 and fraction 16/15 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 1 and 15. 15 is the LCM of 1 and 15. Multiplying the LCM 15 with the numerators and denominators of both fractions (13/1 x 15/15) - (16/15 x 15/15), and simplify further in order to have the common denominator. So the equivalent fraction for 13/1 is 195/15 and for 16/15 is 16/15. By simplifying this fraction subtraction 195/15 - 16/15, it becomes 179/15.

CALCULATION: 13/1 - 16/15 as a fraction
13/1 - 16/15 = (?)
13/1 - 16/15 = [(13 x 15) - (16 x 1)]/(1 x 15)
= (195 - 16)/15
= 179/15
13/1 - 16/15 = 179/15
13/1 minus 16/15 as a fraction is 179/15.

where
13/1 is a improper fraction as a minuend,
16/15 is a improper fraction as a subtrahend,
179/15 is the difference between 13/1 and 16/15.

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13/1 minus 16/15 as a decimal
13/1 - 16/15 = 179/15
179/15 = 11.9333
(13/1) - (16/15) as a decimal is 11.9333

where
11.9333 is the difference between 13/1 and 16/15.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 16/15 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 16/15.
1. LCM method
2. Cross multiplication method.

(13/1) - (16/15) using LCM Method:
What is 13/1 minus 16/15 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/1
Fraction B: 16/15

What to be found?
(13/1) - (16/15) = ?
Find what's the difference between 13/1 and 16/15.

step 2 Compare the denominators of fractions 13/1 and 16/15 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 13/1 and 16/15 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 16/15:
The LCM of 1 and 15 is 15.

step 4 Write the fractions 13/1 and 16/15 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 13/1 - 16/15
= [(13 x 15)/(1 x 15)] - [(16 x 15)/(15 x 15)]

step 5 Simplify the expression to have common denominator:
= 195/15 - 16/15

step 6 Take the common values out and rewrite the above expression like the below:
= 1/15 x (195/1 - 16/1)
= 1/15 x (195 - 16)

step 7Simplify the above expression further:
= 1/15 x 179
= 179/15
13/1 - 16/15 = 179/15

Hence,
13/1 minus 16/15 as a fraction is 179/15.

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13/1 - 16/15 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 13/1
Fraction B: 16/15

What to be found?
(13/1)-(16/15) = ?
Find what's the difference between 13/1 and 16/15.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (13 x 15), find the product of numerator of Fraction B and denominator of Fraction A (16 x 1), and find the product of both denominators of Fraction A and Fraction B (1 x 15) and rewrite the equation as like the below:
= (13 x 15) - (16 x 1)/(1 x 15)

step 3 Simplify and rewrite the fraction:
= (195 - 16)/15
13/1 - 16/15 = 179/15

Hence,
13/1 minus 16/15 in fraction is 179/15