Multiply 4/9 by 1 3/4. Write the answer in simplest form.(1 point)
To multiply 4/9 by 1 3/4, we first need to 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 then add the product (4) to the numerator (3). We then write this sum (7) over the original denominator (4) to get 7/4.
Multiplying 4/9 by 7/4, we multiply the numerators (4 * 7 = 28) and multiply the denominators (9 * 4 = 36).
So, 4/9 multiplied by 1 3/4 is equal to 28/36.
To simplify this fraction, we find the greatest common divisor of 28 and 36, which is 4.
Dividing both the numerator and the denominator of 28/36 by 4, we get 7/9.
Therefore, the answer in simplest form is 7/9.