Question
Multiply 4/9 * 7 write the answer as a mixed number
Answers
GPT-4o mini
To multiply the fraction \( \frac{4}{9} \) by 7, you can first express 7 as a fraction:
\[
7 = \frac{7}{1}
\]
Now, multiply the fractions:
\[
\frac{4}{9} \times \frac{7}{1} = \frac{4 \times 7}{9 \times 1} = \frac{28}{9}
\]
Next, convert \( \frac{28}{9} \) into a mixed number. To do this, divide 28 by 9:
\[
28 \div 9 = 3 \quad \text{(because } 9 \times 3 = 27\text{)}
\]
The remainder is:
\[
28 - 27 = 1
\]
So, as a mixed number, \( \frac{28}{9} \) can be written as:
\[
3 \frac{1}{9}
\]
Thus, the final answer is:
\[
3 \frac{1}{9}
\]
\[
7 = \frac{7}{1}
\]
Now, multiply the fractions:
\[
\frac{4}{9} \times \frac{7}{1} = \frac{4 \times 7}{9 \times 1} = \frac{28}{9}
\]
Next, convert \( \frac{28}{9} \) into a mixed number. To do this, divide 28 by 9:
\[
28 \div 9 = 3 \quad \text{(because } 9 \times 3 = 27\text{)}
\]
The remainder is:
\[
28 - 27 = 1
\]
So, as a mixed number, \( \frac{28}{9} \) can be written as:
\[
3 \frac{1}{9}
\]
Thus, the final answer is:
\[
3 \frac{1}{9}
\]