To solve this problem, we need to read the ruler carefully. The ruler is marked in inches, and each inch is divided into 16 smaller parts (sixteenths).
How to read the ruler:
1.
Find the whole number: Look at the big numbers (1, 2, 3...) to see which whole inch the letter is past.
2.
Count the small lines: Count how many small tick marks the letter is past that whole number. Each small mark represents $\frac{1}{16}$ of an inch.
3.
Simplify the fraction: If the fraction can be simplified (like $\frac{2}{16}$ becoming $\frac{1}{8}$), write it in lowest terms as the directions ask.
Let's go through each letter step-by-step:
*
A: It is before the 1-inch mark. It is on the 15th small line after 0. So, it is $\frac{15}{16}$. This cannot be simplified.
* Answer: $\frac{15}{16}$
*
B: It is exactly on the 1-inch mark.
* Answer: $1$
*
C: It is past the 1-inch mark. Let's count the small lines after 1. It is on the 7th line. So, it is $1 \frac{7}{16}$. This cannot be simplified.
* Answer: $1 \frac{7}{16}$
*
D: It is past the 1-inch mark. It is on the 9th line after 1. So, it is $1 \frac{9}{16}$. This cannot be simplified.
* Answer: $1 \frac{9}{16}$
*
E: It is past the 2-inch mark. It is on the 1st line after 2. So, it is $2 \frac{1}{16}$.
* Answer: $2 \frac{1}{16}$
*
F: It is past the 2-inch mark. It is on the 3rd line after 2. So, it is $2 \frac{3}{16}$.
* Answer: $2 \frac{3}{16}$
*
G: It is past the 2-inch mark. It is on the 12th line after 2. So, it is $2 \frac{12}{16}$. We need to simplify $\frac{12}{16}$. Both numbers divide by 4. $12 \div 4 = 3$ and $16 \div 4 = 4$. So, it becomes $2 \frac{3}{4}$.
* Answer: $2 \frac{3}{4}$
*
H: It is past the 4-inch mark. It is on the 1st line after 4. So, it is $4 \frac{1}{16}$.
* Answer: $4 \frac{1}{16}$
*
I: It is past the 4-inch mark. It is on the 3rd line after 4. So, it is $4 \frac{3}{16}$.
* Answer: $4 \frac{3}{16}$
*
J: It is past the 4-inch mark. It is on the 14th line after 4. So, it is $4 \frac{14}{16}$. We need to simplify $\frac{14}{16}$. Both numbers divide by 2. $14 \div 2 = 7$ and $16 \div 2 = 8$. So, it becomes $4 \frac{7}{8}$.
* Answer: $4 \frac{7}{8}$
*
K: It is past the 5-inch mark. It is on the 12th line after 5. So, it is $5 \frac{12}{16}$. Simplify $\frac{12}{16}$ by dividing by 4. It becomes $\frac{3}{4}$. So, it is $5 \frac{3}{4}$.
* Answer: $5 \frac{3}{4}$
*
L: It is past the 6-inch mark. It is on the 14th line after 6. So, it is $6 \frac{14}{16}$. Simplify $\frac{14}{16}$ by dividing by 2. It becomes $\frac{7}{8}$. So, it is $6 \frac{7}{8}$.
* Answer: $6 \frac{7}{8}$
Final Answer:
A $\frac{15}{16}$
B $1$
C $1 \frac{7}{16}$
D $1 \frac{9}{16}$
E $2 \frac{1}{16}$
F $2 \frac{3}{16}$
G $2 \frac{3}{4}$
H $4 \frac{1}{16}$
I $4 \frac{3}{16}$
J $4 \frac{7}{8}$
K $5 \frac{3}{4}$
L $6 \frac{7}{8}$
Parent Tip: Review the logic above to help your child master the concept of fractions on a ruler worksheet.
