1. The problem asks to write the correct measurement for each shaded bar on the ruler segments and reduce the fraction to its simplest form. 2. For the first ruler segment (5 to 9) with a shaded bar from 5 to about 8.6: - The length is $8.6 - 5 = 3.6$ units. - Convert $3.6$ to a fraction: $3.6 = \frac{36}{10} = \frac{18}{5}$ after dividing numerator and denominator by 2. 3. For the second ruler segment (6 to 10) with a shaded bar from 6 to about 9.7: - The length is $9.7 - 6 = 3.7$ units. - Convert $3.7$ to a fraction: $3.7 = \frac{37}{10}$ which is already in simplest form. 4. For the third ruler segment (8 to 12) with a shaded bar from 8 to about 9.3: - The length is $9.3 - 8 = 1.3$ units. - Convert $1.3$ to a fraction: $1.3 = \frac{13}{10}$ which is already in simplest form. 5. For the fourth ruler segment (3 to 7) with a shaded bar from 3 to about 5.7: - The length is $5.7 - 3 = 2.7$ units. - Convert $2.7$ to a fraction: $2.7 = \frac{27}{10} = \frac{27}{10}$ (cannot be simplified further). Final answers: - First measurement: $\frac{18}{5}$ - Second measurement: $\frac{37}{10}$ - Third measurement: $\frac{13}{10}$ - Fourth measurement: $\frac{27}{10}$