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Multiply 4/9

by 1 3/4
. Write the answer in simplest form. (1 point)

1 answer

To multiply \( \frac{4}{9} \) by \( 1 \frac{3}{4} \), we first need to convert the mixed number \( 1 \frac{3}{4} \) into an improper fraction.

  1. Convert \( 1 \frac{3}{4} \): \[ 1 \frac{3}{4} = 1 + \frac{3}{4} = \frac{4}{4} + \frac{3}{4} = \frac{7}{4} \]

  2. Now, multiply \( \frac{4}{9} \) by \( \frac{7}{4} \): \[ \frac{4}{9} \times \frac{7}{4} = \frac{4 \times 7}{9 \times 4} = \frac{28}{36} \]

  3. Simplify \( \frac{28}{36} \):

    • The greatest common divisor (GCD) of 28 and 36 is 4. \[ \frac{28 \div 4}{36 \div 4} = \frac{7}{9} \]

Thus, the answer is \( \frac{7}{9} \).