Converting Decimals to Fractions

Converting Decimals

• Converting Decimals to Fractions:
  • A decimal can be converted to a fraction by dividing the decimal by the place value of the last digit.
  • For example, 0.5 can be converted to a fraction by dividing 5 by 10, resulting in 1/2.
  • A decimal with a finite number of digits can be converted to a fraction in simplest form.
• Converting Fractions to Decimals:
  • A fraction can be converted to a decimal by dividing the numerator by the denominator.
  • For example, 1/2 can be converted to a decimal by dividing 1 by 2, resulting in 0.5.
  • A fraction can be converted to a decimal by long division or by using equivalent ratios.

Comparing Fractions

• Comparing Fractions with Like Denominators:
  • Fractions with the same denominator can be compared by comparing their numerators.
  • The fraction with the larger numerator is the larger fraction.
  • For example, 3/8 is greater than 2/8 because 3 is greater than 2.
• Comparing Fractions with Unlike Denominators:
  • Fractions with different denominators can be compared by finding the least common multiple (LCM) of the denominators.
  • The fractions can be converted to equivalent fractions with the LCM as the denominator.
  • The fractions can then be compared by comparing their numerators.
  • For example, 1/4 and 1/6 can be compared by finding the LCM of 4 and 6, which is 12. The fractions can then be converted to 3/12 and 2/12, and 3/12 is greater than 2/12.

Converting Decimals to Fractions

• A decimal can be converted to a fraction by dividing the decimal by the place value of the last digit.
• For example, 0.5 can be converted to a fraction by dividing 5 by 10, resulting in 1/2.
• Decimals with a finite number of digits can be converted to fractions in simplest form.

Converting Fractions to Decimals

• A fraction can be converted to a decimal by dividing the numerator by the denominator.
• For example, 1/2 can be converted to a decimal by dividing 1 by 2, resulting in 0.5.
• Fractions can be converted to decimals by long division or by using equivalent ratios.

Comparing Fractions

Comparing Fractions with Like Denominators

• Fractions with the same denominator can be compared by comparing their numerators.
• The fraction with the larger numerator is the larger fraction.
• For example, 3/8 is greater than 2/8 because 3 is greater than 2.

Comparing Fractions with Unlike Denominators

• Fractions with different denominators can be compared by finding the least common multiple (LCM) of the denominators.
• Fractions can be converted to equivalent fractions with the LCM as the denominator.
• Fractions can then be compared by comparing their numerators.
• For example, 1/4 and 1/6 can be compared by finding the LCM of 4 and 6, which is 12.