Convert between decimals and fractions or mixed numbers

Key notes:

1. Converting Decimals to Fractions:

• Step 1: Identify the place value of the decimal (e.g., tenths, hundredths, thousandths).
• Step 2: Remove the decimal point and place the number over the appropriate power of 10.
  • Example: 0.75 → 75/100.
• Step 3: Simplify the fraction, if possible.
  • Example: 75/100 → 3/4.

Special Cases:

• Terminating Decimals: Decimals that end, like 0.25 or 1.5, can be converted to fractions by identifying their place value.
• Repeating Decimals: Use algebraic methods or recognize common fractions (e.g., 0.333… = 1/3).

2. Converting Fractions to Decimals:

• Step 1: Divide the numerator by the denominator using long division or a calculator.
  • Example: 3/4 → 3 ÷ 4 = 0.75.
• Step 2: Round the decimal to the desired number of decimal places if necessary.

3. Converting Mixed Numbers to Decimals:

• Step 1: Convert the whole number to a decimal.
• Step 2: Convert the fractional part to a decimal.
• Step 3: Add the two values together.
  • Example: 2 1/4 → 2 + 1/4 = 2 + 0.25 = 2.25.

4. Converting Decimals to Mixed Numbers:

• Step 1: Separate the whole number from the decimal part.
• Step 2: Convert the decimal part to a fraction.
  • Example: 3.75 → 3 + 0.75 → 3 + 3/4 → 3 3/4.