GoMim AI | 16/64 simplified

How to Calculate it Step-by-Step

To simplify 16/64, follow these steps:

1. Identify the Greatest Common Divisor (GCD):

- List the factors of 16: 1, 2, 4, 8, 16

- List the factors of 64: 1, 2, 4, 8, 16, 32, 64

- The common factors are 1, 2, 4, 8, 16. The greatest is 16.

2. Divide Both the Numerator and Denominator by the GCD:

- Divide the numerator (16) by 16: \( 16 \div 16 = 1 \)

- Divide the denominator (64) by 16: \( 64 \div 16 = 4 \)

3. Write the Simplified Fraction:

- The simplified form of \( \frac{16}{64} \) is \( \frac{1}{4} \)

Thus, \( \frac{16}{64} \) simplifies to \( \frac{1}{4} \)

Related Practice Problem

Problem: If you have a rope that is 16 meters long and you cut it into 64 equal parts, what length is each part? Express your answer as a simplified fraction of the total length.

Step-by-step Solution:

To determine the length of each part, follow these steps:

1. Set Up the Fraction:

- You have a total length of 16 meters divided into 64 parts, so each part is \( \frac{16}{64} \) meters.

2. Simplify the Fraction:

- As previously calculated, \( \frac{16}{64} \) simplifies to \( \frac{1}{4} \)

3. Interpret the Result:

- Each part of the rope is \( \frac{1}{4} \) meters long.

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