Question

Name: Minor Check: 2.1. Fraction and Decimal Conversions (6.4G) Directions: Convert the following fractions to a decimal. (Hint: Divide or Take it up to 10 or 100) 2. 35 2. 4. 0.36 Period: 7 12 Date: October 17, 2023 Directions: Convert the following decimals to fractions. Simplify if necessary. (Hint: Think Place Value) 4. 0.06​

Answer 1

The decimal representation of
`\( (35)/(12) \)` is approximately 2.92. The fraction equivalent of 0.06 is
`\( (3)/(50) \)`.

Let's convert the given fraction to a decimal and the given decimal to a fraction.

Convert the fraction to a decimal:

`\[ (35)/(12) \]`

To convert this fraction to a decimal, divide 35 by 12:

`\[ (35)/(12) / 1 = (35)/(12) \approx 2.92 \]`

So, the decimal representation of
`\( (35)/(12) \)` is approximately 2.92.

Convert the decimal to a fraction:

`\[ 0.06 \]`

Since there are two decimal places, we can write this as:

`\[ 0.06 = (6)/(100) \]`

Now, simplify the fraction by dividing both the numerator and denominator by their greatest common factor, which is 2:

`\[ (6)/(100) = (3)/(50) \]`

So, the fraction equivalent of 0.06 is
`\( (3)/(50) \)`.