what number is 3/4 of the way between -5 and 11 on the number line

Answer :

One way to answer this question is as follows:

Take the difference between 11 and -5:

[tex]11-(-5)=11+5=16[/tex]

If we multiply 16 by 3/4, we obtain:

[tex]16\cdot\frac{3}{4}=4\cdot3=12[/tex]

We can count 12 numbers from -5 in the number line:

[tex]-5+12=7[/tex]

Therefore, the number 7 is 3/4 of the way between -5 and 11. Graphically:

View image KRYSTIANNAC556573