Write 0.6 as a fraction.

Understand the Problem

The question is asking us to convert the decimal number 0.6 into a fraction. This involves understanding how to express decimal values as rational numbers.

Answer

$\frac{3}{5}$
Answer for screen readers

The decimal 0.6 can be expressed as the fraction $\frac{3}{5}$.

Steps to Solve

  1. Identify the Decimal Place Value To convert the decimal 0.6 into a fraction, we first recognize that the 6 is in the tenths place. This gives us a denominator of 10.

  2. Write the Fraction Form Now that we know the place value, we can write the decimal as a fraction: $$ \frac{6}{10} $$

  3. Simplify the Fraction Next, we simplify the fraction by finding the greatest common divisor (GCD) of the numerator (6) and denominator (10). The GCD is 2. So we divide both the numerator and denominator by 2: $$ \frac{6 \div 2}{10 \div 2} = \frac{3}{5} $$

The decimal 0.6 can be expressed as the fraction $\frac{3}{5}$.

More Information

Expressing decimals as fractions helps us to understand rational numbers better. In this case, 0.6 equals 60% or $\frac{3}{5}$ when simplified, demonstrating how different representations can lead to the same value.

Tips

  • A common mistake is to stop at writing the fraction as $\frac{6}{10}$ without simplifying.
  • Another mistake is misunderstanding the place value, leading to an incorrect denominator. Remember that 0.6 has only one digit after the decimal, indicating tenths.

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