STAAR PREP 5.3H;5.3K

Front

What is a fraction?

Back

A fraction represents a part of a whole. It consists of a numerator (top number) and a denominator (bottom number). For example, in the fraction \(\frac{1}{2}\), 1 is the part and 2 is the whole.

Front

How do you add fractions with the same denominator?

Back

To add fractions with the same denominator, keep the denominator the same and add the numerators. For example, \(\frac{1}{4} + \frac{2}{4} = \frac{3}{4}\).

Front

How do you add fractions with different denominators?

Back

To add fractions with different denominators, first find a common denominator, convert the fractions, and then add the numerators. For example, to add \(\frac{1}{3} + \frac{1}{4}\), the common denominator is 12: \(\frac{4}{12} + \frac{3}{12} = \frac{7}{12}\).

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a fraction. For example, \(2\frac{1}{3}\) means 2 whole parts and 1/3 of another part.

Front

How do you subtract fractions?

Back

To subtract fractions, if they have the same denominator, subtract the numerators and keep the denominator the same. If they have different denominators, find a common denominator first.

Front

What is the process to simplify a fraction?

Back

To simplify a fraction, divide both the numerator and the denominator by their greatest common factor (GCF). For example, \(\frac{8}{12}\) simplifies to \(\frac{2}{3}\) by dividing both by 4.

Front

What does it mean to convert an improper fraction to a mixed number?

Back

To convert an improper fraction (where the numerator is larger than the denominator) to a mixed number, divide the numerator by the denominator. The quotient is the whole number, and the remainder becomes the new numerator.

Front

What is a common denominator?

Back

A common denominator is a shared multiple of the denominators of two or more fractions. It is used to add or subtract fractions with different denominators.

Front

How do you find the least common multiple (LCM)?

Back

To find the least common multiple (LCM) of two numbers, list the multiples of each number and find the smallest multiple they share. For example, the LCM of 4 and 5 is 20.

Front

What is the relationship between fractions and division?

Back

Fractions can be interpreted as division. For example, \(\frac{3}{4}\) can be understood as 3 divided by 4.