Question

Simplify: 9 2/3 ÷9 1/5​

Answer 1

Answer:

31/3

Step-by-step explanation:

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Answer 2

The final result of the given expression of mixed fractions is  $1\frac{7}{138}$.

Mixed Fraction Form :

• Any improper fraction 'a/b' i.e. fraction whose numerator is greater than the denominator can be expressed in mixed form fraction.
• The mixed fraction has two parts: A whole number and a proper fraction
• The conversion from any improper fraction to its corresponding mixed fraction is :

                       $c\frac{a}{b} = \frac{(c*b)+a}{b}$

The first fraction in the given expression has :

• The whole number part is 9
• The proper fractional part is 2/3
• The numerator of the equivalent improper fraction is :

                    $= (3*9) +2\\=27+2\\=29$

• So, the corresponding fraction is : 29/3

The second fraction in the given expression has :

• The whole number part is 9
• The proper fractional part is 1/5
• The numerator of the equivalent improper fraction is :

                    $= (5*9) +1\\=45+1\\=46$

• So, the corresponding fraction is : 46/5

Thus, the final expression evaluates to :

           $= 9\frac{2}{3} / 9\frac{1}{5} \\= (29/3) / (46/5)\\=(29*5)/(46*3)\\= 145/138\\=1\frac{7}{138}$

Hence, the final result of the given expression is $1\frac{7}{138}$.

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