Question

What is the product in simplified form of -4/5 * 10/16?

a) -1/2
b) -5/8
c) 1/2
d) 5/8

Answer 1

The simplified product of -4/5 * 10/16 is -1/2, which is option (a). This is found by simplifying the fraction and following the sign rules for multiplication.

Therefore, the correct answer is option (a) -1/2.

Step-by-step explanation:

The product in simplified form of -4/5 * 10/16 can be found by first simplifying the fraction 10/16 to its lowest terms, which is 5/8. When you multiply -4/5 by 5/8, you multiply the numerators together and the denominators together, which gives you (-4 * 5) / (5 * 8). This simplifies to -20/40, which can be further simplified to -1/2.

Here's the step-by-step calculation:
(-4/5) * (5/8) = (-4 * 5) / (5 * 8) = -20/40 = -1/2
Therefore, the correct answer is option (a) -1/2.

Remember these rules for signs when multiplying:

• When two positive numbers multiply, the answer has a +ve sign.
• When two negative numbers multiply, the answer has a +ve sign.
• When the two numbers multiplied have opposite signs, the answer has a -ve sign.
• When a number is divided by another number, it follows the multiplication rules for the sign.