Converting Decimals to Fractions

Study Notes

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 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.

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.

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.

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.

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.