Convert the following to higher terms 16/94 equals

To convert \( \frac{16}{94} \) to higher terms, let's first simplify it by finding the greatest common divisor (GCD) of 16 and 94, and then divide both the numerator and denominator by that value.

1. Find the GCD of 16 and 94.
   - The prime factorization of 16 is \( 2^4 \).
   - The prime factorization of 94 is \( 2 \times 47 \).

The only common factor is 2, so the GCD is 2.

2. Divide both the numerator and denominator by 2:

\[
\frac{16}{94} = \frac{16 \div 2}{94 \div 2} = \frac{8}{47}
\]

Thus, \( \frac{16}{94} \) simplified is \( \frac{8}{47} \).

Since the problem asks for converting to higher terms, if you meant to express the fraction with larger values (without changing its value), you'd multiply both the numerator and denominator by the same factor.

For example, multiplying by 2:

\[
\frac{8}{47} = \frac{8 \times 2}{47 \times 2} = \frac{16}{94}
\]

Hence, \( \frac{16}{94} \) is already expressed in terms of higher terms of the fraction \( \frac{8}{47} \).

Would you like more details or have any questions?

Here are 5 related questions:
1. How do you find the greatest common divisor (GCD)?
2. What is the difference between higher and lower terms of a fraction?
3. How do you simplify fractions with large numbers?
4. Why is prime factorization useful in fraction simplification?
5. What are equivalent fractions, and how do they relate to higher terms?

**Tip:** When simplifying fractions, always look for common factors between the numerator and denominator!

Learn how to convert the fraction 16/94 to higher terms and simplify it step by step. This solution involves finding the greatest common divisor (GCD), prime factorization, and understanding equivalent fractions. Suitable for students in Grades 5-7.

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