What is 16 - 13/9 in fraction?
16 - 13/9 equals to 131/9 in fraction form.
Learn how to find what is 16 minus 13/9 in fraction form just in a few minutes. We have covered the easiest method to write 16 - 13/9 as a fraction and decimal.
Summary: 16 minus 13/9 = 131/9
Since both fractions have unequal denominators, 16 minus 13/9 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 16 and fraction 13/9 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 1 and 9. 9 is the LCM of 1 and 9. Multiplying the LCM 9 with the numerators and denominators of both fractions (16 x 9/9) - (13/9 x 9/9), and simplify further in order to have the common denominator. So the equivalent fraction for 16 is 144/9 and for 13/9 is 13/9. By simplifying this fraction subtraction 144/9 - 13/9, it becomes 131/9.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 13/9 from 16. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 16 minus 13/9.
1. LCM method
2. Cross multiplication method.
(16) - (13/9) using LCM Method:
What is 16 minus 13/9 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/1
Fraction B: 13/9
What to be found?
(16) - (13/9) = ?
Find what's the difference between 16 and 13/9.
step 2 Compare the denominators of fractions 16 and 13/9 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 16 and 13/9 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 and 13/9:
The LCM of 1 and 9 is 9.
step 4 Write the fractions 16 and 13/9 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 16 - 13/9
= [(16 x 9)/(1 x 9)] - [(13 x 9)/(9 x 9)]
step 5 Simplify the expression to have common denominator:
= 144/9 - 13/9
step 6 Take the common values out and rewrite the above expression like the below:
= 1/9 x (144/1 - 13/1)
= 1/9 x (144 - 13)
step 7Simplify the above expression further:
= 1/9 x 131
= 131/9
16 - 13/9 = 131/9
Hence,
16 minus 13/9 as a fraction is 131/9.
16 - 13/9 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/1
Fraction B: 13/9
What to be found?
(16)-(13/9) = ?
Find what's the difference between 16 and 13/9.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (16 x 9), 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 9) and rewrite the equation as like the below:
= (16 x 9) - (13 x 1)/(1 x 9)
step 3 Simplify and rewrite the fraction:
= (144 - 13)/9
16 - 13/9 = 131/9
Hence,
16 minus 13/9 in fraction is 131/9