Represent $\frac{-22}{-44}$ on the number line.
Answer (2)
The fraction − 44 − 22 simplifies to 2 1 . This value is located at the midpoint between 0 and 1 on the number line. Therefore, on the number line, − 44 − 22 is represented by the point 2 1 .
;
Simplify the fraction − 44 − 22 to 44 22 .
Further simplify 44 22 to 2 1 .
Recognize that 2 1 is halfway between 0 and 1 on the number line.
Represent − 44 − 22 as 2 1 on the number line, located at the midpoint between 0 and 1. The final answer is 2 1 .
Explanation
Simplifying the Fraction We are asked to represent the fraction − 44 − 22 on the number line. First, we need to simplify the fraction.
Removing Negative Signs Since both the numerator and the denominator are negative, the fraction is positive. Thus, − 44 − 22 = 44 22 .
Dividing by the Greatest Common Divisor Now, we simplify the fraction 44 22 by dividing both the numerator and the denominator by their greatest common divisor, which is 22. So, 44 22 = 44 ÷ 22 22 ÷ 22 = 2 1 .
Locating on the Number Line The simplified fraction is 2 1 , which is equal to 0.5. To represent this on the number line, we find the point that is halfway between 0 and 1.
Final Answer Therefore, − 44 − 22 is represented by the point 2 1 on the number line.
Examples
Imagine you and a friend are sharing a pizza. The pizza is cut into 44 slices, and you eat 22 slices. That means you ate 44 22 of the pizza. Simplifying this fraction, you ate 2 1 of the pizza. Representing this on a number line, you can see that you ate exactly halfway between none of the pizza and the whole pizza. This concept of fractions and their representation on a number line is useful in everyday situations like sharing food, measuring ingredients, or understanding proportions.
