Fraction to Decimal Converter

How to Convert Fractions to Decimals

Converting a fraction to a decimal involves dividing the numerator by the denominator.

Method 1: Direct Division

1. Take the numerator (top number) and divide it by the denominator (bottom number).
2. For example, to convert 3/4 to a decimal: 3 ÷ 4 = 0.75

Method 2: Long Division

1. Set up a long division problem with the numerator as the dividend and the denominator as the divisor.
2. Perform the division step by step.
3. Continue until you get a remainder of 0 or notice a repeating pattern.

Understanding Recurring Decimals

Some fractions convert to decimals that repeat indefinitely. For example:

• 1/3 = 0.333... (the 3 repeats forever)
• 2/3 = 0.666... (the 6 repeats forever)

How to Convert Decimals to Fractions

1. For terminating decimals (like 0.75):
   • Write the decimal as a fraction with 1 in the denominator followed by zeros equal to the number of decimal places.
   • For 0.75: 75/100, which simplifies to 3/4
2. For recurring decimals (like 0.333...):
   • Let x = 0.333...
   • Multiply by 10: 10x = 3.333...
   • Subtract: 10x - x = 3.333... - 0.333... = 3
   • So 9x = 3, meaning x = 3/9 = 1/3