GoMim AI | 56/64 simplified

How to Calculate it Step-by-Step

To simplify 56/64, follow these steps:

1. Find the Greatest Common Divisor (GCD):

- List the factors of 56: 1, 2, 4, 7, 8, 14, 28, 56.

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

- The greatest common factor is 8.

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

- Divide 56 by 8: $$56 \div 8 = 7$$

- Divide 64 by 8: $$64 \div 8 = 8$$

3. Write the Simplified Fraction:

- The simplified form of 56/64 is $$\frac{7}{8}$$

By following these steps, you can simplify any fraction by finding its GCD and dividing both the numerator and the denominator by this value.

Related Practice Problem

Problem:

You have a ribbon that is 56 inches long, and you need to cut it into equal parts, each part being 64 inches. You want to find out what fraction of the ribbon each part represents in its simplest form.

Step-by-step Solution:

1. Understand the Problem:

- You have a 56-inch ribbon and want to cut it into 64 equal parts.

- Each part will be represented by the fraction 56/64.

2. Simplify the Fraction 56/64:

- Find the GCD of 56 and 64, which is 8.

- Divide the numerator and denominator by 8:

$$\frac{56}{8} = 7$$

$$\frac{64}{8} = 8$$

- The simplified form of 56/64 is $$\frac{7}{8}$$

3. Interpret the Result:

- Each part of the ribbon represents 7/8 of the original ribbon.

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