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(7/9)#

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Jun 13, 2017

#34/9=3 7/9#

Explanation:

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

#34-:9="3 R7"#

#34/9=3 7/9#

# 3 7/9#

Explanation:

A mixed number is a whole number and a fraction.

Divide #34 " by " 9# to see how many whole numbers are contained in

# 34/9#

# 3 xx 9 = 27 # so there are 3 whole numbers in the improper fraction.

# 34 - 27 = 7 # after subtracting the # 27/9# contained in the whole number #3#. There are #7# ninths left over so

# 34/9 = 3 7/9#

Jun 13, 2017

#34/9 = 3 7/9#

Explanation:

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

#34/9# can be read as 'thirty-four ninths'.

'nine ninths' gives a whole number.

We can consider #34/9# as #(9+9+9+7)/9#

#= 9/9+9/9+9/9+7/9#

#= 1+1+1+7/9#

#=3 7/9#

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

#34div 9 = 3 " rem " 7#

#= 3 7/9#