Question

convert 109/13 into mixed fraction

Answer 1

15

8----

13

Step-by-step explanation:

Here I will show you how to convert the improper fraction 109/13 to a mixed number (aka mixed fraction). We start by setting up the fraction below.

109/13

Step 1 - Find Whole Number

Calculate out how many times the denominator goes into the numerator. To do that, divide 109 by 13 and keep only what is to the left of the decimal point:

109 / 13 = 8.3846 = 8

Step 2 - Find New Numerator

Multiply the answer from Step 1 by the denominator and deduct that from the original numerator.

109 - (13 x 8) = 5

Step 3 - Get Solution

Keep the original denominator and use the answers from Step 1 and Step 2 to get the answer. 109/13 as a mixed number is:

5

8 -----

13

Answer 2

Answer:

The fraction $\frac{109}{13}$ is written in a form of mixed fraction as $8\frac{5}{13}$.

Step-by-step explanation:

Given : The fractional number is $\frac{109}{13}$.

To find : Convert into mixed fractional number.

Solution :

• The given fractional number is $\frac{109}{13}$.
• We have to convert the given fractional number into mixed fractional number.
• Mixed fractional number is the one which has whole number as well as fractional number.
• Mixed fraction is written in the form as $a\frac{b}{c}$.

• Here, $a$ is a whole quotient, $b$ is a remainder and $c$ is a divisor.
• The given fractional number is,      

          $\frac{109}{13}$

• Here, $109$ is dividend and $13$ as divisor.
• Divide $109$ by $13$, we get quotient as $8$ and remainder as $5$.
• The mixed fraction is written as,

           $\frac{109}{13}=8\frac{5}{13}$

• ∴ The fraction $\frac{109}{13}$ is written in a form of mixed fraction as $8\frac{5}{13}$.