Proper, Improper, Simplify Fractions

Front

What is a proper fraction?

Back

A proper fraction is a fraction where the numerator is less than the denominator, such as \( \frac{3}{4} \).

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 \( \frac{5}{4} \) or \( \frac{4}{4} \).

Front

How do you simplify the fraction \( \frac{8}{12} \)?

Back

To simplify \( \frac{8}{12} \), divide both the numerator and denominator by their greatest common divisor, which is 4. This gives \( \frac{2}{3} \).

Front

What is the mixed number for the improper fraction \( \frac{9}{4} \)?

Back

The mixed number for \( \frac{9}{4} \) is \( 2\frac{1}{4} \).

Front

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

Back

Multiply the whole number by the denominator and add the numerator. For example, for \( 2\frac{1}{4} \), it becomes \( 2 \times 4 + 1 = 9 \), so it is \( \frac{9}{4} \).

Front

Which of the following fractions is equivalent to \( \frac{1}{2} \)? 10/20, 12/24, 30/60, 44/84

Back

The fraction 44/84 is not equivalent to \( \frac{1}{2} \).

Front

What is the first step in simplifying the fraction \( \frac{15}{25} \)?

Back

Find the greatest common divisor (GCD) of 15 and 25, which is 5, and divide both the numerator and denominator by 5 to get \( \frac{3}{5} \).

Front

What is the definition of equivalent fractions?

Back

Equivalent fractions are different fractions that represent the same value, such as \( \frac{1}{2} \) and \( \frac{2}{4} \).

Front

How do you find the least common denominator (LCD) of \( \frac{1}{3} \) and \( \frac{1}{4} \)?

Back

The least common denominator of \( \frac{1}{3} \) and \( \frac{1}{4} \) is 12.

Front

What is the result of adding \( \frac{1}{4} + \frac{1}{4} \)?

Back

The result is \( \frac{2}{4} \), which simplifies to \( \frac{1}{2} \).