16 - 3/13 as a fraction

Learn how to find what is 16 minus 3/13 in fraction form just in a few minutes. We have covered the easiest method to write 16 - 3/13 as a fraction and decimal.

Summary: 16 minus 3/13 = 205/13
Since both fractions have unequal denominators, 16 minus 3/13 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 16 and fraction 3/13 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 1 and 13. 13 is the LCM of 1 and 13. Multiplying the LCM 13 with the numerators and denominators of both fractions (16 x 13/13) - (3/13 x 13/13), and simplify further in order to have the common denominator. So the equivalent fraction for 16 is 208/13 and for 3/13 is 3/13. By simplifying this fraction subtraction 208/13 - 3/13, it becomes 205/13.

CALCULATION: 16 - 3/13 as a fraction
16 - 3/13 = (?)
16/1 - 3/13 = [(16 x 13) - (3 x 1)]/(1 x 13)
= (208 - 3)/13
= 205/13
16 - 3/13 = 205/13
16 minus 3/13 as a fraction is 205/13.

where
16 is a whole number as a minuend,
3/13 is a proper fraction as a subtrahend,
205/13 is the difference between 16 and 3/13.

---

16 minus 3/13 as a decimal
16 - 3/13 = 205/13
205/13 = 15.7692
(16) - (3/13) as a decimal is 15.7692

where
15.7692 is the difference between 16 and 3/13.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 3/13 from 16. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 16 minus 3/13.
1. LCM method
2. Cross multiplication method.

(16) - (3/13) using LCM Method:
What is 16 minus 3/13 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/1
Fraction B: 3/13

What to be found?
(16) - (3/13) = ?
Find what's the difference between 16 and 3/13.

step 2 Compare the denominators of fractions 16 and 3/13 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 16 and 3/13 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 16 and 3/13:
The LCM of 1 and 13 is 13.

step 4 Write the fractions 16 and 3/13 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 16 - 3/13
= [(16 x 13)/(1 x 13)] - [(3 x 13)/(13 x 13)]

step 5 Simplify the expression to have common denominator:
= 208/13 - 3/13

step 6 Take the common values out and rewrite the above expression like the below:
= 1/13 x (208/1 - 3/1)
= 1/13 x (208 - 3)

step 7Simplify the above expression further:
= 1/13 x 205
= 205/13
16 - 3/13 = 205/13

Hence,
16 minus 3/13 as a fraction is 205/13.

---

16 - 3/13 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/1
Fraction B: 3/13

What to be found?
(16)-(3/13) = ?
Find what's the difference between 16 and 3/13.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (16 x 13), find the product of numerator of Fraction B and denominator of Fraction A (3 x 1), and find the product of both denominators of Fraction A and Fraction B (1 x 13) and rewrite the equation as like the below:
= (16 x 13) - (3 x 1)/(1 x 13)

step 3 Simplify and rewrite the fraction:
= (208 - 3)/13
16 - 3/13 = 205/13

Hence,
16 minus 3/13 in fraction is 205/13