Express the given rational number in the standard form -24/64.

To express the rational number -24/64 in standard form, we need to simplify it by finding the greatest common divisor (GCD) of the numerator and the denominator.

Step 1: Find the GCD

The GCD of 24 and 64 is 8. This is the largest number that divides both 24 and 64 without leaving a remainder.

Step 2: Simplify the Fraction

Now, divide both the numerator and the denominator by their GCD:

• Numerator: -24 ÷ 8 = -3
• Denominator: 64 ÷ 8 = 8

Final Result

The simplified form of the rational number -24/64 is -3/8.