Find the quotient: 0.135 ÷ 0.12

Question

*
1 point
1.125
11.25
112.5
1125
9. Jamal is dividing 7.686 by 0.18. He gets the digits
427. Where should he place the decimal for the
correct quotient?
*
1 point
0.427
4.27
42.7
427
10. Jose bought 8.4 pounds of food for $5.92 per pound. He then
split it equally between himself and three friends. If they split
the food cost evenly, how much will each of the four friends
pay? Round your answer to the nearest penny.
*
2 points
$5.68
$12.43
$16.58
$49.73
11. The expression 18.36 ÷ 0.125 is equivalent to what number?
*
1 point
0.14688
1.4688
14.688
146.88
12. Jordan’s car holds 16.2 gallons of gasoline. If he has 2.625 gallons in
his car when he stops to fill it up. How much money will he spend to
fill up his car if the current price for gas is $4.49 per gallon? Round
your answer to the nearest penny.
*
2 points
$3.02
$60.95
$72.74
$84.52

Answer 1

Let's solve each question step by step:

1. Quotient of 0.135 ÷ 0.12:

To divide decimals, we can multiply both numbers by 100 to simplify our calculations:

0.135 ÷ 0.12 = (0.135 × 100) ÷ (0.12 × 100) = 13.5 ÷ 12 = 1.125

So the correct answer is 1.125.

---

2. Jamal's division of 7.686 by 0.18:

To find the quotient, we similarly shift the decimal points. We can multiply both numbers by 100 to simplify the division:

7.686 ÷ 0.18 = (7.686 × 100) ÷ (0.18 × 100) = 768.6 ÷ 18

Calculating 768.6 ÷ 18 = 42.7.

So Jamal should place the decimal as 42.7.

---

3. Jose's cost of food:

First, let's calculate the total cost of the food Jose bought:

Total Cost = Price per pound × Total pounds = $5.92 × 8.4 = $49.73.

Now to find out how much each of the four friends pays:

Cost per person = Total Cost ÷ Number of people = $49.73 ÷ 4 = $12.43.

So each of the four friends will pay $12.43.

---

4. Expression 18.36 ÷ 0.125:

Again, we can multiply both numbers by 1000 to simplify our calculations:

18.36 ÷ 0.125 = (18.36 × 1000) ÷ (0.125 × 1000) = 18360 ÷ 125.

Calculating 18360 ÷ 125 = 146.88.

So the expression is equivalent to 146.88.

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5. Jordan's gas fill-up cost:

First, we need to determine how much gas is needed to fill up the car:

Gas needed = Total capacity - Current amount = 16.2 - 2.625 = 13.575 gallons.

Now, calculate the cost to fill this amount:

Cost = Gas needed × Price per gallon = 13.575 × 4.49 = $60.85.

Rounding to the nearest penny gives us $60.85.

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So here are your answers:

1. 1.125
2. 42.7
3. $12.43
4. 146.88
5. $60.85