Reduce to lowest term 1. 48/60 2. 24/96 3. 72/180

Let's reduce each fraction to its lowest terms by finding the greatest common divisor (GCD) of the numerator and the denominator, then dividing both by the GCD.

1. **48/60**
   - Find the GCD of 48 and 60:
     - Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
     - Factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
     - Common factors: 1, 2, 3, 4, 6, 12
     - GCD: 12
   - Divide both the numerator and the denominator by the GCD:
     - \( \frac{48 \div 12}{60 \div 12} = \frac{4}{5} \)

2. **24/96**
   - Find the GCD of 24 and 96:
     - Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
     - Factors of 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
     - Common factors: 1, 2, 3, 4, 6, 8, 12, 24
     - GCD: 24
   - Divide both the numerator and the denominator by the GCD:
     - \( \frac{24 \div 24}{96 \div 24} = \frac{1}{4} \)

3. **72/180**
   - Find the GCD of 72 and 180:
     - Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
     - Factors of 180: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
     - Common factors: 1, 2, 3, 4, 6, 9, 12, 18, 36
     - GCD: 36
   - Divide both the numerator and the denominator by the GCD:
     - \( \frac{72 \div 36}{180 \div 36} = \frac{2}{5} \)

Thus, the reduced fractions are:
1. \( \frac{48}{60} = \frac{4}{5} \)
2. \( \frac{24}{96} = \frac{1}{4} \)
3. \( \frac{72}{180} = \frac{2}{5} \)

Would you like further details or have any questions?

Here are 5 questions you might want to ask next:
1. How do you find the greatest common divisor (GCD) of two numbers?
2. Can you reduce another set of fractions for me?
3. How do you convert a fraction to a decimal?
4. What is the process for adding and subtracting fractions?
5. How do you multiply and divide fractions?

**Tip:** To simplify a fraction, always start by finding the greatest common divisor (GCD) of the numerator and denominator. Divide both by the GCD to get the fraction in its simplest form.

Learn how to reduce fractions 48/60, 24/96, and 72/180 to their lowest terms with step-by-step solutions. Understand the concept of finding the greatest common divisor (GCD) and applying it to simplify fractions. Suitable for students in Grades 4-6.

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