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Use the accompanying table to find the closest fractional equivalent of the following decimal measurements. Complete parts a through h.  7.182 in.​ (nearest 64th of an​ inch)

To find the closest fractional equivalent of the decimal measurement 7.182 inches (to the nearest 64th of an inch), I'll first focus on isolating the fractional part of the number, which is 0.182. Using the uploaded table, we can match this decimal to its closest fraction.

1. First, subtract the whole number part:
   \[
   7.182 - 7 = 0.182
   \]
   Now, we focus on 0.182 to convert this to the nearest 64th.

2. Looking at the decimal-fraction equivalency table:
   - 0.1875 is equivalent to **3/16**.
   - 0.1719 is equivalent to **11/64**.

Since 0.182 is between 0.1719 (11/64) and 0.1875 (3/16), and it's slightly closer to 0.1875, we approximate the fractional part to **3/16**.

Therefore, 7.182 inches is closest to **7 3/16 inches**.

Would you like more details or have any further questions on this process?

Here are some related questions to consider:
1. How do you determine the nearest fractional inch for other decimal measurements?
2. What is the process of converting a decimal to a fraction using approximation?
3. How can we convert other decimals like 0.75 or 0.625 to fractions?
4. What are some common conversions between decimal and fractional inches in practical use?
5. What methods can be used to increase the precision of decimal-to-fraction conversions?

**Tip:** When converting decimals to fractions, always check tables like the one you provided, as they offer a quick reference to find the nearest fractional equivalents.

Use the accompanying table to find the closest fractional equivalent of the following decimal measurements. Complete parts a through h. 7.182 in.​ (nearest 64th of an​ inch)

Learn how to convert the decimal measurement of 7.182 inches to the nearest 64th of an inch using a decimal-fraction equivalency table. This step-by-step solution explains the process of isolating the decimal part and matching it to its closest fractional equivalent.

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