Question

A point is plotted on the number line at 4 3/5 . A second point is plotted at −3 3/4 .

What is the length of a line segment joining these points?

Enter your answer as a simplified mixed number in the box.

Answer 1

Find the difference

• 4-3/5-(-3-3/4)
• 23/5+15/4
• 4(23)+5(15)/20
• 92+75/20
• 167/20
• 8-7/20

Answer 2

8 7/20

Explanation:

Converting both numbers to improper fractions :

4 3/5

⇒ (4 x 5/5) + 3/5

⇒ 20/5 + 3/5

⇒ 23/5

-3 3/4

⇒ - (3 x 4/4 + 3/4)

⇒ - (12/4 + 3/4)

⇒ -15/4

Take the LCM as 20 and convert :

23/5

⇒ 23/5 x 4/4

⇒ 92/20

-15/4

⇒ -15/4 x 5/5

⇒ -75/20

Now find the difference :

⇒ 92/20 - (-75/20)

⇒ 92/20 + 75/20

⇒ 92 + 75 / 20

⇒ 167/20

Now convert into a mixed number :

⇒ 167/20

⇒ 8 7/20