Question

name _____________ date _____________

1. estimate to label the given fractions on the number line. be sure to label the fractions at 0 and 1. write the fractions above the number line. draw a number bond to match your number line. the first one is done for you.

a. $\frac{1}{3}$
b. $\frac{3}{6}$
c. $\frac{2}{5}$
d. $\frac{7}{10}$
e. $\frac{3}{7}$

Explanation:

Step1: Label 0 as equivalent fraction

For each part, 0 = $\frac{0}{\text{denominator}}$

Step2: Label 1 as equivalent fraction

For each part, 1 = $\frac{\text{denominator}}{\text{denominator}}$

Step3: Mark target fraction on line

Divide the number line into equal parts matching the denominator, then place the target fraction at the corresponding part.

Step4: Create matching number bond

Split 1 into the target fraction and $\frac{\text{denominator}-\text{numerator}}{\text{denominator}}$

Part b ($\frac{3}{6}$)

Step1: Label 0

$\frac{0}{6}$

Step2: Label 1

$\frac{6}{6}$

Step3: Mark $\frac{3}{6}$

Divide the line into 6 equal parts; $\frac{3}{6}$ is at the midpoint (3rd part).

Step4: Number bond

1 splits into $\frac{3}{6}$ and $\frac{3}{6}$

Part c ($\frac{2}{5}$)

Step1: Label 0

$\frac{0}{5}$

Step2: Label 1

$\frac{5}{5}$

Step3: Mark $\frac{2}{5}$

Divide the line into 5 equal parts; $\frac{2}{5}$ is at the 2nd part.

Step4: Number bond

1 splits into $\frac{2}{5}$ and $\frac{3}{5}$

Part d ($\frac{7}{10}$)

Step1: Label 0

$\frac{0}{10}$

Step2: Label 1

$\frac{10}{10}$

Step3: Mark $\frac{7}{10}$

Divide the line into 10 equal parts; $\frac{7}{10}$ is at the 7th part.

Step4: Number bond

1 splits into $\frac{7}{10}$ and $\frac{3}{10}$

Part e ($\frac{3}{7}$)

Step1: Label 0

$\frac{0}{7}$

Step2: Label 1

$\frac{7}{7}$

Step3: Mark $\frac{3}{7}$

Divide the line into 7 equal parts; $\frac{3}{7}$ is at the 3rd part.

Step4: Number bond

1 splits into $\frac{3}{7}$ and $\frac{4}{7}$

Answer:

• b. 0 label: $\frac{0}{6}$; 1 label: $\frac{6}{6}$; $\frac{3}{6}$ at the midpoint of the number line; number bond: 1 = $\frac{3}{6}$ + $\frac{3}{6}$
• c. 0 label: $\frac{0}{5}$; 1 label: $\frac{5}{5}$; $\frac{2}{5}$ at the 2nd of 5 equal parts; number bond: 1 = $\frac{2}{5}$ + $\frac{3}{5}$
• d. 0 label: $\frac{0}{10}$; 1 label: $\frac{10}{10}$; $\frac{7}{10}$ at the 7th of 10 equal parts; number bond: 1 = $\frac{7}{10}$ + $\frac{3}{10}$
• e. 0 label: $\frac{0}{7}$; 1 label: $\frac{7}{7}$; $\frac{3}{7}$ at the 3rd of 7 equal parts; number bond: 1 = $\frac{3}{7}$ + $\frac{4}{7}$