how do i divide 100 by 8 and write the quotient as a mixed number then rewrite the quotient by reducing the fraction part of the mixed number?

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lemjay's profile pic

lemjay | High School Teacher | (Level 3) Senior Educator

Posted on

To do so, let's apply long division.

`8` `| bar(100)`          

Start with the left most digit of 100, which is 1. However, 1 is less than 8, so we have to bring together the first two digits at the left.

Then, divide 10 by 8 `(10-:8=1)` .Write the quotient at the top of second digit of 100.

      `12`

`8` `|bar(100)`    Then, multiply 1 & 8 `(1xx8=8)`. Write the product below 10.                

 `-`  `8`       Then, subtract `(10-8=2)` .

 `----`   And bring down the digit after 10.

     `20`       From here, repeat the steps. Divide 20 by 8 `(20:-8=2)` .

   `-` `16`     Write the quotient at the top of the last digit of 100.

 `----`   Then, multiply 2 & 8 `(2xx8=16)` .Write the product below 20.

       `4`       Then, subtract `(20-16=4)` .

Since, there are no more digits after the last zero we bring down, we stop here.

Hence, `100 -: 8=12` with a remainder of 4.

Since, the quotient has a remainder we may express this as mix fraction. The 12 is the whole number.The remainder is the numerator and the denominator is the divisor.

So, `100 -:8=12 4/8` .

Then, simplify the fraction. Since both numerator and denominator are divisible by 4, divide top by 4 as well as the bottom number.

Thus, the simplified form is  `12 1/2` .

msjessiebaker's profile pic

msjessiebaker | High School Teacher | (Level 1) Adjunct Educator

Posted on

To divide 100 by 8 write as a division problem ie:  8|100. How many times does 8 go into 10? Once. Multiply 1 by 8 and subtract that from 10. You will get 2. Bring down the 0. Now ask yourself how many times  8 goes into 20, which is 2. Multiply 2 by 8 and get 16. Subtract from twenty to get a remainder of 4. Put the 4 over your divisor which is 8. The answer is 12 4/8. To reduce the fraction of this answer find the greatest common factor of 4 and 8 which is 4. Divide both by 4 to get 1/2. The final answer is 12 1/2.

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