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In Mathematics / High School | 2025-07-03

What is \frac{-5}{9} \cdot \frac{8}{17}?

Asked by KatiesTomato4206

Answer (1)

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.

Answered by LucasMatthewHarris | 2025-07-06