To solve the problem 9 − 5 ⋅ 17 8 , we need to multiply the two fractions together. Here's how you can do it, step-by-step:
Multiply the numerators (the top numbers of the fractions):
− 5 × 8 = − 40
Multiply the denominators (the bottom numbers of the fractions):
9 × 17 = 153
Put the results together to form the new fraction:
153 − 40
Simplify the fraction if possible:
The greatest common divisor (GCD) of 40 and 153 is 1, meaning the fraction 153 − 40 is already in its simplest form.
So, the product of 9 − 5 and 17 8 is 153 − 40 . This fraction is a representation of the multiplication of fractions, maintaining the negative sign from the original one.