Represent the number $\frac{3}{4}$ on the number line.
Answer (1)
Draw a number line and mark 0 and 1.
Divide the segment between 0 and 1 into 4 equal parts.
Count 3 parts from 0 to represent 4 3 .
Mark the point on the number line as 4 3 .
Explanation
Understanding the Problem We need to represent the fraction 4 3 on a number line. This means we need to divide the space between two integers (usually 0 and 1) into equal parts and mark the appropriate part.
Drawing the Number Line First, draw a number line and mark the integers 0 and 1.
Dividing the Segment Since the denominator of the fraction is 4, we need to divide the segment between 0 and 1 into 4 equal parts.
Marking the Fraction Now, we count 3 parts from 0. This point represents the fraction 4 3 . Mark this point on the number line.
Understanding the Location The number 4 3 is located between 0 and 1. It is closer to 1 than to 0.
Examples
Imagine you have a pizza cut into 4 equal slices, and you eat 3 of those slices. The fraction 4 3 represents the amount of pizza you ate. Representing this fraction on a number line helps visualize how much of the whole pizza you consumed compared to the entire pizza.
