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

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

• A. 5 27/77
• B. 4 3/11
• C. 3 10/77
• D. 6 2/11

Answer: (A)

To determine the result of multiplying the fraction \( \frac{4}{7} \) by the mixed number \( 9 \frac{4}{11} \), the first step is to 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 \( 9 \) by the denominator \( 11 \): \( 9 \times 11 = 99 \) 2. Add the numerator \( 4 \) to that result: \( 99 + 4 = 103 \) This gives us \( 9 \frac{4}{11} = \frac{103}{11} \). Next, we can multiply \( \frac{4}{7} \) by \( \frac{103}{11} \): \[ \frac{4}{7} \times \frac{103}{11} = \frac{4 \times 103}{7 \times 11} = \frac{412}{77} \] Now, to convert \( \frac{412}{77} \) into a mixed number, we perform the division of \( 412

To determine the result of multiplying the fraction ( \frac{4}{7} ) by the mixed number ( 9 \frac{4}{11} ), the first step is to 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 ( 9 ) by the denominator ( 11 ):

( 9 \times 11 = 99 )

2. Add the numerator ( 4 ) to that result:

( 99 + 4 = 103 )

This gives us ( 9 \frac{4}{11} = \frac{103}{11} ).

Next, we can multiply ( \frac{4}{7} ) by ( \frac{103}{11} ):

[

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

]

Now, to convert ( \frac{412}{77} ) into a mixed number, we perform the division of ( 412