What is the result of 4/7 multiplied by 9 4/11?

To solve the problem of multiplying ( \frac{4}{7} ) by ( 9 \frac{4}{11} ), it is essential to first convert the mixed number into an improper fraction.

The mixed number ( 9 \frac{4}{11} ) can be converted as follows:

1. Multiply the whole number by the denominator: ( 9 \times 11 = 99 ).
2. Add the numerator: ( 99 + 4 = 103 ).
3. Therefore, ( 9 \frac{4}{11} ) becomes ( \frac{103}{11} ).

Next, multiply the two fractions:

[ \frac{4}{7} \times \frac{103}{11} = \frac{4 \times 103}{7 \times 11} = \frac{412}{77}. ]

Now, convert this improper fraction into a mixed number.

1. Divide the numerator by the denominator: ( 412 \div 77 ) equals 5 (since ( 77 \times 5 = 385 ) and there is a remainder).
2. The remainder is ( 412 - 385 = 27 \