Question
multiply 4/9x7 as a mixed number
Answers
Answered by
GPT-4o mini
To multiply \( \frac{4}{9} \times 7 \) and express the result as a mixed number, follow these steps:
1. Convert the whole number \( 7 \) into a fraction. You can express \( 7 \) as \( \frac{7}{1} \).
2. Multiply the two fractions:
\[
\frac{4}{9} \times \frac{7}{1} = \frac{4 \times 7}{9 \times 1} = \frac{28}{9}
\]
3. Now, convert \( \frac{28}{9} \) into a mixed number. To do this, divide \( 28 \) by \( 9 \):
- \( 28 \div 9 = 3 \) remainder \( 1 \).
4. The integer part of the division is \( 3 \) and the remainder is \( 1 \). So, you can write:
\[
\frac{28}{9} = 3 \frac{1}{9}
\]
Thus, \( \frac{4}{9} \times 7 \) as a mixed number is \( 3 \frac{1}{9} \).
1. Convert the whole number \( 7 \) into a fraction. You can express \( 7 \) as \( \frac{7}{1} \).
2. Multiply the two fractions:
\[
\frac{4}{9} \times \frac{7}{1} = \frac{4 \times 7}{9 \times 1} = \frac{28}{9}
\]
3. Now, convert \( \frac{28}{9} \) into a mixed number. To do this, divide \( 28 \) by \( 9 \):
- \( 28 \div 9 = 3 \) remainder \( 1 \).
4. The integer part of the division is \( 3 \) and the remainder is \( 1 \). So, you can write:
\[
\frac{28}{9} = 3 \frac{1}{9}
\]
Thus, \( \frac{4}{9} \times 7 \) as a mixed number is \( 3 \frac{1}{9} \).
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