8/5 x -10/9 as a simplified fraction
To simplify the fraction, we need to first multiply the numerators (top numbers) and the denominators (bottom numbers).
The numerator is (8 x -10) = -80.
The denominator is (5 x 9) = 45.
So, the fraction is -80/45.
To further simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 5.
-80 ÷ 5 = -16
45 ÷ 5 = 9
Therefore, the simplified fraction is -16/9.
To multiply fractions, we multiply the numerators (the top numbers) and the denominators (the bottom numbers) separately.
So, \(\frac{8}{5} \times \left(-\frac{10}{9}\right)\) can be computed as:
\(\frac{8 \times -10}{5 \times 9} = \frac{-80}{45}\)
To simplify this fraction, we divide both the numerator and the denominator by their greatest common divisor, which in this case is 5:
\(\frac{-80}{45} = \frac{-16}{9}\)
Hence, the simplified fraction is \(\boxed{-\frac{16}{9}}\).
To simplify the expression (8/5) x (-10/9), we can multiply the numerators (the top numbers) and the denominators (the bottom numbers) separately, and then simplify the resulting fraction, if possible.
Step 1: Multiply the numerators: 8 x (-10) = -80
Step 2: Multiply the denominators: 5 x 9 = 45
So, the expression (8/5) x (-10/9) simplifies to -80/45.
To further simplify the fraction, we can find the greatest common divisor (GCD) of the numerator and denominator and divide both of them by it.
The GCD of 80 and 45 is 5. Divide both the numerator and denominator by 5:
-80 ÷ 5 = -16
45 ÷ 5 = 9
Therefore, the final simplified fraction is -16/9.