Fractions on a Number Line

Front

What is a fraction?

Back

A fraction represents a part of a whole and is expressed as a ratio of two integers, with a numerator (top number) and a denominator (bottom number).

Front

How do you represent fractions on a number line?

Back

Fractions are represented on a number line by dividing the line into equal parts based on the denominator and marking the appropriate position for the numerator.

Front

What fraction is represented at the midpoint of a number line segment?

Back

The midpoint of a number line segment between 0 and 1 is represented by the fraction 1/2.

Front

What is the difference between proper and improper fractions?

Back

A proper fraction has a numerator smaller than the denominator (e.g., 2/3), while an improper fraction has a numerator larger than or equal to the denominator (e.g., 5/4).

Front

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

Back

To convert an improper fraction to a mixed number, divide the numerator by the denominator to find the whole number, and use the remainder as the new numerator over the original denominator.

Front

What is the significance of the denominator in a fraction?

Back

The denominator indicates the total number of equal parts the whole is divided into, while the numerator indicates how many of those parts are being considered.

Front

How can you identify equivalent fractions?

Back

Equivalent fractions can be identified by multiplying or dividing both the numerator and denominator by the same non-zero integer.

Front

What fraction is represented at point G on a number line?

Back

Point G represents the fraction 2/3 on a number line.

Front

What fraction is represented at point X on a number line?

Back

Point X represents the fraction 3/5 on a number line.

Front

How do you find the fraction represented by a point on a number line?

Back

To find the fraction represented by a point on a number line, determine the distance from the point to the nearest whole numbers and express that distance as a fraction of the total segments.