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MATH / On the number line shown, AE=6, AB=1(2)/(3), BC=1(1)/(4), and DE=1(1)/(12). What is CD? [asy] unitsize(1cm); draw((0,0)--(8,0),Arrows); pair A,B,C,D,E; A=(1,0); B=(8/3,0); C=(47/12…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

On the number line shown, AE=6AE=6, AB=123AB=1\frac{2}{3}, BC=114BC=1\frac{1}{4}, and DE=1112DE=1\frac{1}{12}. What is CDCD? [asy] unitsize(1cm); draw((0,0)--(8,0),Arrows); pair A,B,C,D,E; A=(1,0); B=(8/3,0); C=(47/12,0); D=(71/12,0); E=(7,0); dot(A); dot(B); dot(C); dot(D); dot(E); label("AA",A,S); label("BB",B,S); label("CC",C,S); label("DD",D,S); label("EE",E,S); [/asy]
Plain-text mathematical notation (without MathML)
On the number line shown, AE=6, AB=1(2)/(3), BC=1(1)/(4), and DE=1(1)/(12). What is CD?

[asy]
unitsize(1cm);
draw((0,0)--(8,0),Arrows);
pair A,B,C,D,E;
A=(1,0); B=(8/3,0); C=(47/12,0);
D=(71/12,0); E=(7,0);
dot(A); dot(B); dot(C); dot(D); dot(E);
label("A",A,S);
label("B",B,S);
label("C",C,S);
label("D",D,S);
label("E",E,S);
[/asy]
Original LaTeX notation
On the number line shown, $AE=6$, $AB=1\frac{2}{3}$, $BC=1\frac{1}{4}$, and $DE=1\frac{1}{12}$. What is $CD$?

[asy]
unitsize(1cm);
draw((0,0)--(8,0),Arrows);
pair A,B,C,D,E;
A=(1,0); B=(8/3,0); C=(47/12,0);
D=(71/12,0); E=(7,0);
dot(A); dot(B); dot(C); dot(D); dot(E);
label("$A$",A,S);
label("$B$",B,S);
label("$C$",C,S);
label("$D$",D,S);
label("$E$",E,S);
[/asy]

level

Level 3

type

Prealgebra

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Source and history

Official source

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