Fractions Review

Front

What is a fraction?

Back

A fraction represents a part of a whole. It consists of a numerator (the top number) and a denominator (the 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, \( \frac{1}{4} + \frac{2}{4} = \frac{1+2}{4} = \frac{3}{4} \).

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 \( \frac{1}{4} + \frac{1}{2} \), convert \( \frac{1}{2} \) to \( \frac{2}{4} \) and then add: \( \frac{1}{4} + \frac{2}{4} = \frac{3}{4} \).

Front

What is a mixed number?

Back

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

Front

How do you convert a mixed number to an improper fraction?

Back

To convert a mixed number to an improper fraction, multiply the whole number by the denominator and add the numerator. For example, for \( 1 \frac{1}{2} \): \( 1 \times 2 + 1 = 3 \), so it becomes \( \frac{3}{2} \).

Front

What is the difference between proper and improper fractions?

Back

A proper fraction has a numerator smaller than the denominator (e.g., \( \frac{3}{4} \)). An improper fraction has a numerator larger than or equal to the denominator (e.g., \( \frac{5}{4} \)).

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. For example, \( \frac{3}{4} - \frac{1}{4} = \frac{2}{4} = \frac{1}{2} \). If they have different denominators, find a common denominator first.

Front

What does it mean for fractions to be equivalent?

Back

Equivalent fractions are different fractions that represent the same value. For example, \( \frac{1}{2} \) and \( \frac{2}{4} \) are equivalent because they both represent half.

Front

How do you compare fractions?

Back

To compare fractions, you can find a common denominator or convert them to decimals. For example, to compare \( \frac{1}{3} \) and \( \frac{1}{4} \), convert them to a common denominator of 12: \( \frac{4}{12} \) and \( \frac{3}{12} \). Thus, \( \frac{1}{3} > \frac{1}{4} \).

Front

What is a decimal?

Back

A decimal is a way to represent fractions using a point (decimal point). For example, \( 0.5 \) is the decimal representation of \( \frac{1}{2} \).