# How do you rewrite 34/9 as a mixed number?

##### 4 Answers
Jun 13, 2017

Apply the long division method to the fraction here.

#### Explanation:

Simply divide 34 by 9 and the divisor becomes the denominator while the quotient becomes the numerator. The remainder becomes the number at the side.

The final answer is $3 \left(\frac{7}{9}\right)$

Here are the terminologies.

Jun 13, 2017

$\frac{34}{9} = 3 \frac{7}{9}$

#### Explanation:

Divide $34$ by $9$. The whole number will be the quotient and the remainder will be the new numerator.

$34 \div 9 = \text{3 R7}$

$\frac{34}{9} = 3 \frac{7}{9}$

Jun 13, 2017

$3 \frac{7}{9}$

#### Explanation:

A mixed number is a whole number and a fraction.

Divide $34 \text{ by } 9$ to see how many whole numbers are contained in

$\frac{34}{9}$

$3 \times 9 = 27$ so there are 3 whole numbers in the improper fraction.

$34 - 27 = 7$ after subtracting the $\frac{27}{9}$ contained in the whole number $3$. There are $7$ ninths left over so

$\frac{34}{9} = 3 \frac{7}{9}$

Jun 13, 2017

$\frac{34}{9} = 3 \frac{7}{9}$

#### Explanation:

A mixed number, or mixed fraction, consists of a whole number part and a fraction.

$\frac{34}{9}$ can be read as 'thirty-four ninths'.

'nine ninths' gives a whole number.

We can consider $\frac{34}{9}$ as $\frac{9 + 9 + 9 + 7}{9}$

$= \frac{9}{9} + \frac{9}{9} + \frac{9}{9} + \frac{7}{9}$

$= 1 + 1 + 1 + \frac{7}{9}$

$= 3 \frac{7}{9}$

You can also just divide $27$ by $9$ to get a whole number answer with a remainder:

$34 \div 9 = 3 \text{ rem } 7$

$= 3 \frac{7}{9}$