2 2/5*9/17 write simplest form
A)4 8/15
b)85/108
c)15/68
d)1 23/85
What do you think?
Nope.
2 2/5*9/17
12/5 * 9/17 = 108/85
Simplify that answer.
Yes. D is correct.
To write the product of the fractions 2 2/5 and 9/17 in simplest form, you need to perform the following steps:
1. Convert the mixed number 2 2/5 into an improper fraction. To do this, multiply the whole number (2) by the denominator (5), and then add the numerator (2) to get the new numerator. Keep the denominator the same.
2 2/5 = (2 × 5 + 2)/5 = 12/5
2. Multiply the two fractions together. Multiply the numerators (12 and 9) to get the new numerator, and multiply the denominators (5 and 17) to get the new denominator.
(12/5) * (9/17) = (12 * 9)/(5 * 17) = 108/85
3. Simplify the fraction by reducing it to lowest terms. Find the greatest common divisor (GCD) of the numerator and denominator and divide both by it.
The GCD of 108 and 85 is 1, so the fraction is already in simplest form.
Therefore, the product of 2 2/5 and 9/17 in simplest form is 108/85. So, the correct answer is d) 1 23/85.