The concrete slab for a patio requires 4 3/4 cubic yards​ of concrete. If the truck delivering the concrete has a capacity of 13 cubic yard and is​ full, how many cubic yards will remain in the concrete truck after​ delivery? answer in mixed number

To find the amount of concrete that will remain in the truck in mixed number form, follow these steps:

1. **Start with the total amount of concrete in the truck:**  
   The truck is full and contains 13 cubic yards of concrete.

2. **Subtract the amount of concrete required for the patio:**  
   The patio requires \( 4 \frac{3}{4} \) cubic yards of concrete.

3. **Perform the subtraction in mixed number form:**

   First, write \( 13 \) as a mixed number:
   \[
   13 = 12 \frac{4}{4}
   \]

   Now subtract \( 4 \frac{3}{4} \) from \( 12 \frac{4}{4} \):
   \[
   12 \frac{4}{4} - 4 \frac{3}{4} = (12 - 4) + \left(\frac{4}{4} - \frac{3}{4}\right) = 8 \frac{1}{4}
   \]

So, after delivering the concrete for the patio, **8 1/4 cubic yards** of concrete will remain in the truck.

Would you like more details or have any questions?

Here are 5 related questions to expand your understanding:

1. How many cubic yards of concrete will remain if the patio required \( 5 \frac{1}{2} \) cubic yards instead?
2. If the truck delivers two separate loads of \( 3 \frac{3}{4} \) cubic yards each, how much concrete will remain?
3. How would you subtract \( 4 \frac{5}{8} \) cubic yards from 13 cubic yards using mixed numbers?
4. How much concrete would remain if the truck initially contained \( 15 \frac{1}{2} \) cubic yards and delivered \( 4 \frac{3}{4} \) cubic yards?
5. How many full trucks are needed to deliver 65 cubic yards of concrete?

**Tip:** When subtracting mixed numbers, it can help to express the whole number as a fraction over the same denominator, which makes the subtraction process smoother.

Learn how to subtract mixed numbers in the context of a concrete delivery problem. Calculate how much concrete remains in a truck after delivering 4 3/4 cubic yards out of a full 13 cubic yard capacity. Includes step-by-step solution and related questions for further practice.

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