Question

4/9 x 7as a mixed number

Answer 1

To convert the fraction \( \frac{4}{9} \times 7 \) into a mixed number, follow these steps:

1. First, convert the whole number 7 into a fraction. \( 7 \) can be written as \( \frac{7}{1} \).

2. Now multiply the two fractions:

\[
\frac{4}{9} \times \frac{7}{1} = \frac{4 \times 7}{9 \times 1} = \frac{28}{9}
\]

3. Next, convert the improper fraction \( \frac{28}{9} \) into a mixed number. To do this, divide the numerator by the denominator:

- \( 28 \div 9 = 3 \) remainder \( 1 \).

4. So, we have:
- The whole number part is \( 3 \).
- The remainder is \( 1 \), which becomes the numerator of the fractional part, and the denominator remains \( 9 \).

Therefore, \( \frac{28}{9} \) can be expressed as the mixed number:

\[
3 \frac{1}{9}
\]

So, \( \frac{4}{9} \times 7 = 3 \frac{1}{9} \).