Convert into fraction the following. 1. 54
2. -87
3. 0.53 (may bar yung 3)
4. 4.666…
5. 0.639

Let’s convert each of these numbers into fractions:

1. **54**  
   - As a fraction:  
     \[ 54 = \frac{54}{1} \]  

2. **-87**  
   - As a fraction:  
     \[ -87 = \frac{-87}{1} \]  

3. **0.\overline{53}** (Repeating 53)  
   - Let \( x = 0.\overline{53} \).  
   - Multiply both sides by 100 to shift the decimal:  
     \[ 100x = 53.\overline{53} \]  
   - Subtract the original equation:  
     \[ 100x - x = 53.\overline{53} - 0.\overline{53} \]  
     \[ 99x = 53 \]  
   - Solve for \( x \):  
     \[ x = \frac{53}{99} \]  

4. **4.666…** (Repeating 6)  
   - Let \( y = 4.\overline{6} \).  
   - Multiply by 10 to shift the repeating part:  
     \[ 10y = 46.\overline{6} \]  
   - Subtract the original equation:  
     \[ 10y - y = 46.\overline{6} - 4.\overline{6} \]  
     \[ 9y = 42 \]  
   - Solve for \( y \):  
     \[ y = \frac{42}{9} = \frac{14}{3} \]  

5. **0.639**  
   - Since the decimal terminates, express it as a fraction over a power of 10:  
     \[ 0.639 = \frac{639}{1000} \]  
   - This fraction is already in simplest form since 639 and 1000 have no common factors.

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Would you like any of these solutions explained in more detail?  

Here are five related questions for further exploration:  
1. How can repeating decimals always be converted into fractions?  
2. How do you determine the simplest form of a fraction?  
3. Why does a terminating decimal always convert to a fraction with a power of 10 in the denominator?  
4. What are some methods to convert improper fractions back to decimals?  
5. How do mixed fractions differ from improper fractions?

**Tip:** A repeating decimal will always convert to a fraction with a denominator involving factors of 9.

Convert into fraction the following: 1. 54 2. -87 3. 0.53 (with a repeating 3) 4. 4.666... 5. 0.639

Explore how to convert whole numbers, terminating decimals, and repeating decimals into fractions. This detailed solution covers the conversion of 54, -87, 0.53 (repeating), 4.666... (repeating), and 0.639. Learn key concepts such as fractions, improper fractions, and repeating decimals, suitable for students in Grades 6-8.

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