Question

ANSWER ASAP GIVE BRAINLIST 100 POINTS

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

The difference between both points is the distance

• 4-3/5=23/5
• -3-3/4=-15/4

Subtract

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

Answer 2

Answer:

$8\frac{7}{20}$

Step-by-step explanation:

Step 1:  Convert both mixed fractions into improper fractions

$4\frac{3}{5}$

$\frac{3+(4*5)}{5}$

$\frac{3+20}{5}$

$\frac{23}{5}$

$-3\frac{3}{4}$

$-\frac{3+(3*4)}{4}$

$-\frac{3+12}{4}$

$-\frac{15}{4}$

Step 2:  Convert to have common denominators

$\frac{23}{5}*\frac{4}{4}$

$\frac{23*4}{5*4}$

$\frac{92}{20}$

$-\frac{15}{4}*\frac{5}{5}$

$-\frac{15*5}{4*5}$

$-\frac{75}{20}$

Step 3:  Determine the length of a segment

$\frac{92}{20}-(-\frac{75}{20})$

$\frac{92}{20}+\frac{75}{20}$

$\frac{92+75}{20}$

$\frac{167}{20}$

Step 4:  Convert to mixed number

$\frac{167}{20}$

$\frac{(20*8)+7}{20}$

$8\frac{7}{20}$

Answer: $8\frac{7}{20}$