Write each decimal as a fraction. (Do not write in lowest terms.) 0.4

Verified step by step guidance

1. Identify the place value of the decimal 0.4. Since 4 is in the tenths place, 0.4 can be written as \( \frac{4}{10} \).
2. Express the decimal as a fraction by placing the digit(s) after the decimal point over the corresponding place value. Here, 0.4 becomes \( \frac{4}{10} \).
3. Note that the problem asks not to simplify the fraction, so keep it as \( \frac{4}{10} \) without reducing it to lowest terms.
4. Write the final answer as \( \frac{4}{10} \), which is the fraction form of the decimal 0.4.
5. Remember, decimals can be converted to fractions by using the place value of the last digit as the denominator.

Key Concepts

Decimal to Fraction Conversion

Converting a decimal to a fraction involves expressing the decimal number as a ratio of two integers. For example, 0.4 can be written as 4/10 because the digit 4 is in the tenths place. This process helps in understanding the relationship between decimals and fractions.

Place Value in Decimals

Place value determines the value of each digit in a decimal number based on its position. In 0.4, the 4 is in the tenths place, meaning it represents 4 parts out of 10. Recognizing place value is essential for correctly converting decimals to fractions.

Fraction Representation Without Simplification

When converting decimals to fractions, sometimes the problem specifies not to simplify the fraction. This means the fraction should be written directly from the decimal's place value without reducing it to lowest terms, such as writing 0.4 as 4/10 instead of 2/5.