What is 16/13 - 14 in fraction?
16/13 - 14 equals to -166/13 in fraction form.
Learn how to find what is 16/13 minus 14 in fraction form just in a few minutes. We have covered the easiest method to write 16/13 - 14 as a fraction and decimal.
Summary: 16/13 minus 14 = -166/13
Since both fractions have unequal denominators, 16/13 minus 14 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 16/13 and fraction 14 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 13 and 1. 13 is the LCM of 13 and 1. Multiplying the LCM 13 with the numerators and denominators of both fractions (16/13 x 13/13) - (14 x 13/13), and simplify further in order to have the common denominator. So the equivalent fraction for 16/13 is 16/13 and for 14 is 182/13. By simplifying this fraction subtraction 16/13 - 182/13, it becomes -166/13.
The below workout with step by step calculation shows how to find the difference between fraction and a whole number by subtracting 14 from 16/13. use any one of the following methods to find the equivalent fraction for 16/13 minus 14.
1. LCM method
2. Cross multiplication method.
(16/13) - (14) using LCM Method:
What is 16/13 minus 14 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/13
Fraction B: 14/1
What to be found?
(16/13) - (14) = ?
Find what's the difference between 16/13 and 14.
step 2 Compare the denominators of fractions 16/13 and 14 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 16/13 and 14 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 16/13 and 14:
The LCM of 13 and 1 is 13.
step 4 Write the fractions 16/13 and 14 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 16/13 - 14
= [(16 x 13)/(13 x 13)] - [(14 x 13)/(1 x 13)]
step 5 Simplify the expression to have common denominator:
= 16/13 - 182/13
step 6 Take the common values out and rewrite the above expression like the below:
= 1/13 x (16/1 - 182/1)
= 1/13 x (16 - 182)
step 7Simplify the above expression further:
= 1/13 x -166
= -166/13
16/13 - 14 = -166/13
Hence,
16/13 minus 14 as a fraction is -166/13.
16/13 - 14 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/13
Fraction B: 14/1
What to be found?
(16/13)-(14) = ?
Find what's the difference between 16/13 and 14.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (16 x 1), find the product of numerator of Fraction B and denominator of Fraction A (14 x 13), and find the product of both denominators of Fraction A and Fraction B (13 x 1) and rewrite the equation as like the below:
= (16 x 1) - (14 x 13)/(13 x 1)
step 3 Simplify and rewrite the fraction:
= (16 - 182)/13
16/13 - 14 = -166/13
Hence,
16/13 minus 14 in fraction is -166/13