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. 2 3/11
• C. 3 6/77
• D. 7/77

Answer: (A)

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 \

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 \