Q1: How do I convert a fraction to a decimal?
To convert a fraction to a decimal, divide the numerator (top number) by the denominator (bottom number). For example, 3/4 = 3 ÷ 4 = 0.75. This works for any fraction, though some may result in repeating decimals.
Q2: What if the decimal is repeating?
Some fractions produce repeating decimals. For example, 1/3 = 0.333... (repeating 3) and 2/7 = 0.285714285714... (repeating pattern). These are typically rounded to a certain number of decimal places for practical use.
Q3: How do I convert improper fractions?
Improper fractions (where numerator is larger than denominator) convert the same way. For example, 5/2 = 5 ÷ 2 = 2.5. The result will be greater than 1, which makes sense since the fraction represents more than one whole.
Q4: Can all fractions be converted to decimals?
Yes, all fractions can be converted to decimals, though some result in repeating decimals. Even fractions like 1/3 (0.333...) have exact decimal representations, though they may need to be rounded for practical calculations.
Q5: What is the relationship between fractions and decimals?
Fractions and decimals are different ways to represent the same value. Fractions show parts of a whole (3/4 means 3 parts out of 4), while decimals show the same value in base-10 notation (0.75). Both represent the same quantity.
Q6: When should I use fractions vs decimals?
Use fractions when you need exact values or when working with ratios. Use decimals for calculations, measurements, or when you need a specific precision. Many contexts prefer decimals for ease of calculation and comparison.