Fractions Review

Front

What is a fraction?

Back

A fraction represents a part of a whole and is expressed as a ratio of two integers, where the numerator is the part and the denominator is the whole.

Front

How do you subtract fractions with the same denominator?

Back

To subtract fractions with the same denominator, subtract the numerators and keep the denominator the same. For example, \( \frac{5}{6} - \frac{1}{6} = \frac{5-1}{6} = \frac{4}{6} \).

Front

What is the process to convert a decimal to a fraction?

Back

To convert a decimal to a fraction, write the decimal as a fraction with 1 in the denominator, then multiply the numerator and denominator by 10 for each digit after the decimal point. Simplify if necessary.

Front

What is the least common denominator (LCD)?

Back

The least common denominator is the smallest multiple that is common to the denominators of two or more fractions, used to add or subtract fractions.

Front

How do you add fractions with different denominators?

Back

To add fractions with different denominators, first find the least common denominator (LCD), convert each fraction to an equivalent fraction with the LCD, then add the numerators and keep the denominator.

Front

What is an improper fraction?

Back

An improper fraction is a fraction where the numerator is greater than or equal to the denominator, such as \( \frac{5}{4} \).

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction, such as 1 \( \frac{1}{2} \).

Front

How do you simplify a fraction?

Back

To simplify a fraction, divide both the numerator and the denominator by their greatest common divisor (GCD). For example, \( \frac{4}{8} \) simplifies to \( \frac{1}{2} \).

Front

What is the relationship between fractions and division?

Back

Fractions can be interpreted as division; for example, \( \frac{a}{b} \) represents the division of a by b.

Front

How do you convert a fraction to a decimal?

Back

To convert a fraction to a decimal, divide the numerator by the denominator. For example, \( \frac{1}{4} = 0.25 \).