Which of the following fractions are equivalent to 4/16? Select all that apply.

Steps to Solve

1. Simplify the Fraction To find equivalent fractions, first simplify the fraction $ \frac{4}{16} $ by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 4: $$ \frac{4 \div 4}{16 \div 4} = \frac{1}{4} $$

2. Check Each Fraction Now, check each provided fraction to see if it simplifies to $ \frac{1}{4} $ or is equivalent to it.

3. Evaluate the Option ( \frac{4}{12} ) The fraction $ \frac{4}{12} $ can be simplified by dividing both by 4: $$ \frac{4 \div 4}{12 \div 4} = \frac{1}{3} $$ This is not equivalent to $ \frac{1}{4} $.

4. Evaluate the Option ( \frac{2}{4} ) Simplify $ \frac{2}{4} $: $$ \frac{2 \div 2}{4 \div 2} = \frac{1}{2} $$ This is not equivalent to $ \frac{1}{4} $.

5. Evaluate the Option ( \frac{2}{8} ) Simplify $ \frac{2}{8} $: $$ \frac{2 \div 2}{8 \div 2} = \frac{1}{4} $$ This is equivalent to $ \frac{1}{4} $.

6. Evaluate the Option ( \frac{1}{4} ) The fraction $ \frac{1}{4} $ is already in its simplest form, which is also equivalent to $ \frac{1}{4} $.

7. Evaluate the Option ( \frac{16}{32} ) Simplify $ \frac{16}{32} $: $$ \frac{16 \div 16}{32 \div 16} = \frac{1}{2} $$ This is not equivalent to $ \frac{1}{4} $.