Multiply 4/9 by 1 3/4. Write the answer in simplest form.(1 point)
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To multiply 4/9 by 1 3/4, we can first convert the mixed number 1 3/4 into an improper fraction.
To do this, we multiply the whole number, 1, by the denominator, 4, and add the numerator, 3. This gives us 1 * 4 + 3 = 7.
The new fraction is 7/4.
Now, we can multiply 4/9 by 7/4.
Multiplying the numerators gives us 4 * 7 = 28.
Multiplying the denominators gives us 9 * 4 = 36.
So, the answer is 28/36.
Next, we simplify the fraction by finding the greatest common divisor (GCD) of the numerator and denominator, which is 4.
Dividing both the numerator and denominator by 4 gives us 28/4 ÷ 36/4 = 7/9.
Therefore, the answer in simplest form is 7/9.