To multiply the fractions \(-\frac{4}{3}\) and \(\frac{5}{2}\), you can follow these steps: 1. Multiply the numerators: \(-4 \times 5 = -20\). 2. Multiply the denominators: \(3 \times 2 = 6\). 3. Combine the results: \(-\frac{20}{6}\). Now, simplify \(-\frac{20}{6}\): - The greatest common divisor (GCD) of 20 and 6 is 2. - Divide both the numerator and the denominator by 2: \[ -\frac{20 \div 2}{6 \div 2} = -\frac{10}{3}. \] So, \(-\frac{4}{3} \times \frac{5}{2} = -\frac{10}{3}\).

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1 answer

To multiply the fractions \(-\frac{4}{3}\) and \(\frac{5}{2}\), you can follow these steps:

Multiply the numerators: \(-4 \times 5 = -20\).
Multiply the denominators: \(3 \times 2 = 6\).
Combine the results: \(-\frac{20}{6}\).

Now, simplify \(-\frac{20}{6}\):

The greatest common divisor (GCD) of 20 and 6 is 2.
Divide both the numerator and the denominator by 2: \[ -\frac{20 \div 2}{6 \div 2} = -\frac{10}{3}. \]

So, \(-\frac{4}{3} \times \frac{5}{2} = -\frac{10}{3}\).