What Is the Result When We Convert 0.625 into a Fraction in Its Simplest Form?

What is the Result When we Convert 0.625 into a Fraction in its Simplest Form?

The result when we convert 0.625 into a fraction in its simplest form is 5/8.

Explanation:

To convert a decimal like 0.625 into a fraction in its simplest form, you can follow these steps:

1. Identify the place value of the last digit. In this case, the last digit is 5, which is in the thousandths place.

2. Write the decimal as the fraction with the decimal place value as the denominator. For 0.625, it would be 625/1000.

3. Simplify the fraction by finding the greatest common factor (GCF) of the numerator and denominator and dividing both by it.

For 625/1000:

• The GCF of 625 and 1000 is 125.
• Divide both the numerator and denominator by 125: (625 ÷ 125) / (1000 ÷ 125) = 5/8.

So, 0.625 as a fraction in its simplest form is 5/8.

What is Fraction Conversion to Simple Form?

Fraction conversion to simplest form involves reducing a fraction to its lowest terms. A fraction is in its simplest form when the numerator (top number) and the denominator (bottom number) have no common factors other than 1. To simplify a fraction, you divide both the numerator and the denominator by their greatest common factor (GCF).

Here's a step-by-step guide to converting a fraction to its simplest form:

1. Find the Greatest Common Factor (GCF): Determine the largest number that divides both the numerator and denominator evenly. This is the GCF.

2. Divide by the GCF: Divide both the numerator and denominator by the GCF.

3. Write the Simplified Fraction: The result after dividing by the GCF becomes the new numerator and denominator, giving you the fraction in its simplest form.

For example, let's simplify the fraction 8/12:

1. Find the GCF of 8 and 12: The factors of 8 are 1, 2, 4, 8. The factors of 12 are 1, 2, 3, 4, 6, 12. The largest number they both share is 4, so the GCF is 4.

2. Divide by the GCF: 8 ÷ 4 = 2 12 ÷ 4 = 3

3. Write the Simplified Fraction: The simplified fraction is 2/3.

So, 8/12 simplified to 2/3, which is in its simplest form.