Which of the following is not equal to the others?

Options

A. `6/8`
B. `12/16`
C. `15/25`
D. `18/24`

Answer

To determine which of the following fractions is not equal to the others, we will simplify each fraction step by step.

**Step 1: Simplify the first fraction, 6/8.**
- To simplify 6/8, we find the greatest common divisor (GCD) of 6 and 8, which is 2.
- Divide both the numerator and the denominator by 2:
\[ \frac{6 \div 2}{8 \div 2} = \frac{3}{4} \]

**Step 2: Simplify the second fraction, 12/16.**
- The GCD of 12 and 16 is also 4.
- Divide both the numerator and the denominator by 4:
\[ \frac{12 \div 4}{16 \div 4} = \frac{3}{4} \]

**Step 3: Simplify the third fraction, 15/25.**
- The GCD of 15 and 25 is 5.
- Divide both the numerator and the denominator by 5:
\[ \frac{15 \div 5}{25 \div 5} = \frac{3}{5} \]

**Step 4: Simplify the fourth fraction, 18/24.**
- The GCD of 18 and 24 is 6.
- Divide both the numerator and the denominator by 6:
\[ \frac{18 \div 6}{24 \div 6} = \frac{3}{4} \]

**Step 5: Compare the simplified fractions.**
- The simplified fractions are:
- 6/8 = 3/4
- 12/16 = 3/4
- 15/25 = 3/5
- 18/24 = 3/4

From the comparison, we see that:
- 6/8, 12/16, and 18/24 all simplify to 3/4.
- 15/25 simplifies to 3/5.

**Conclusion:**
The fraction that is not equal to the others is **15/25**.

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