Question

name
date

1. label each number line with the fractions shown on the tape diagram. circle the fraction that labels the point on the number line that also names the shaded part of the tape diagram.

a.
b.
c.

Explanation:

Part a

Step1: Analyze the tape diagram

The tape diagram is divided into 3 equal parts, and 1 part is shaded. So the fraction of the shaded part is $\frac{1}{3}$.

Step2: Label the number line

The number line should be labeled with fractions $\frac{0}{3}$, $\frac{1}{3}$, $\frac{2}{3}$, $\frac{3}{3}$ (or 1). We circle $\frac{1}{3}$ as it represents the shaded part.

Part b

Step1: Analyze the tape diagram

The tape diagram is divided into 6 equal parts, and 2 parts are shaded. So the fraction of the shaded part is $\frac{2}{6}$ (which simplifies to $\frac{1}{3}$, but we use the original division here).

Step2: Label the number line

The number line should be labeled with fractions $\frac{0}{6}$, $\frac{1}{6}$, $\frac{2}{6}$, $\frac{3}{6}$, $\frac{4}{6}$, $\frac{5}{6}$, $\frac{6}{6}$ (or 1). We circle $\frac{2}{6}$.

Part c

Step1: Analyze the tape diagram

The tape diagram is divided into 12 equal parts, and 4 parts are shaded. So the fraction of the shaded part is $\frac{4}{12}$ (which simplifies to $\frac{1}{3}$, but we use the original division here).

Step2: Label the number line

The number line should be labeled with fractions from $\frac{0}{12}$ to $\frac{12}{12}$ (or 1) with increments of $\frac{1}{12}$. We circle $\frac{4}{12}$.

Final Answers:

a. Circle $\boldsymbol{\frac{1}{3}}$
b. Circle $\boldsymbol{\frac{2}{6}}$
c. Circle $\boldsymbol{\frac{4}{12}}$

Answer:

Step1: Analyze the tape diagram

The tape diagram is divided into 12 equal parts, and 4 parts are shaded. So the fraction of the shaded part is $\frac{4}{12}$ (which simplifies to $\frac{1}{3}$, but we use the original division here).

Step2: Label the number line

The number line should be labeled with fractions from $\frac{0}{12}$ to $\frac{12}{12}$ (or 1) with increments of $\frac{1}{12}$. We circle $\frac{4}{12}$.

Final Answers:

a. Circle $\boldsymbol{\frac{1}{3}}$
b. Circle $\boldsymbol{\frac{2}{6}}$
c. Circle $\boldsymbol{\frac{4}{12}}$