Use the properties of operations and rules for multiplying and dividing to solve: (-3) ÷(3/4) ×(2/7)×(-5/16)÷(5/7)

To solve the expression (-3) ÷ (3/4) × (2/7) × (-5/16) ÷ (5/7), we can follow the order of operations:

1. Start with the division.
(-3) ÷ (3/4) = -3 × (4/3) = -12/3 = -4
2. Next, multiply all the fractions together.
-4 × (2/7) × (-5/16) × (5/7) = (-4 × 2 × -5 × 5) ÷ (7 × 16 × 7)
= 200 ÷ 784
= 25/98.
Thus, (-3) ÷ (3/4) × (2/7) × (-5/16) ÷ (5/7) equals 25/98.

How many ounces are in 1/2 of 1/5 of a 10 oz block of cheese?

Ounce(s)

To find how many ounces are in 1/2 of 1/5 of a 10 oz block of cheese, we need to multiply the fractions together and then multiply the result by 10 oz.

First, multiply 1/2 by 1/5:
1/2 * 1/5 = 1/10.

Then, multiply 1/10 by 10 oz:
1/10 * 10 oz = 1 oz.

Therefore, 1/2 of 1/5 of a 10 oz block of cheese is equal to 1 ounce.

A group of nine people won 1/5 of a 4,500 prize. How much money did each person in the group win?

To find out how much money each person in the group won, we need to divide the total prize won by the number of people in the group.

The group of nine people won 1/5 of a $4,500 prize.

To find the amount each person won, we can divide the total prize by the number of people in the group:

(1/5) * 4,500 = 4,500/5 = $900.

So, each person in the group won $900.

Wrong

Apologies for the previous incorrect response.

To find out how much money each person in the group won, we need to divide the total prize won by the number of people in the group.

The group of nine people won 1/5 of a $4,500 prize.

To find the amount each person won, we need to multiply the total prize by the fraction that represents 1/5:

(1/5) * $4,500 = $4,500/5 = $900.

Now, to find out how much each person in the group won, we divide this amount by the number of people in the group:

$900 / 9 = $100.

Therefore, each person in the group won $100.

Ty

You're welcome! If you have any more questions, feel free to ask.

Solve this multi-step problem. A runner complaints 1/4 of a 5 mi race every 8 minutes. At the same pace, how far can the runner go in 16 minutes