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Fractions Number Line

Grade 3 · Fractions · Worksheet 2

  1. Carlos is walking on a nature trail that is 16 kilometers long. He stops to rest when he has completed 3/4 of the trail. On a number line from 0 to 16 kilometers, how many kilometers from the start did Carlos walk before resting? Answer: ______________
  2. Matiu is helping his grandmother make a long ribbon garland for a family celebration. The garland needs to be 18 feet long. They have a measuring tape that goes from 0 to 18 feet. Matiu needs to tie a bow at the point that represents 5/9 of the total length on the measuring tape. How many feet from the start should Matiu tie the bow? Answer: ______________
  3. Liam is walking on a nature trail that is 16 kilometers long. He stops to rest at a bench that is located at the 3/4 point of the trail on the trail map's number line. How many kilometers has Liam walked when he reaches the bench? Answer: ______________
  4. A number line from 0 to 1 is divided into 6 equal parts. A frog is sitting on the point that is 4 parts to the right of 0. What fraction represents the frog's position on the number line? Answer: ______________
  5. Lily is measuring ribbon for a craft project. She has a ribbon that is 12 inches long. She needs to mark where 3/4 of the ribbon would be on a number line that goes from 0 to 12 inches. How many inches from the start of the ribbon is the 3/4 point? Answer: ______________
  6. A number line is marked from 0 to 1, divided into 8 equal parts. A point is placed on the mark that is 3 parts from 0. What fraction represents the location of this point? Answer: ______________
  7. A number line is marked from 0 to 1 and divided into 8 equal parts. A point is placed on the mark that is 5 parts from 0. What fraction represents the location of this point? Answer: ______________
  8. Tane is helping his grandmother make a long garland for a party. The garland needs to be 12 feet long. They have a measuring tape that goes from 0 to 12 feet. Tane needs to attach a decoration at the point that represents 5/6 of the total length on the measuring tape. How many feet from the start should Tane attach the decoration? Answer: ______________
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Answer Key & Explanations

Fractions Number Line · Grade 3 · Worksheet 2

  1. Carlos is walking on a nature trail that is 16 kilometers long. He stops to rest when he has completed 3/4 of the trail. On a number line from 0 to 16 kilometers, how many kilometers from the start did Carlos walk before resting? Answer: 12 Solution: The total trail length is 16 kilometers. Carlos walked 3/4 of the trail.
    Full step-by-step solution

    Step 1: The total trail length is 16 kilometers. Step 2: Carlos walked 3/4 of the trail. Step 3: To find 3/4 of 16, multiply the fraction by the whole number: (3/4) × 16 Step 4: First, divide 16 by 4: 16 ÷ 4 = 4 Step 5: Then multiply by 3: 4 × 3 = 12 Step 6: Carlos walked 12 kilometers before resting. The answer is 12.

  2. Matiu is helping his grandmother make a long ribbon garland for a family celebration. The garland needs to be 18 feet long. They have a measuring tape that goes from 0 to 18 feet. Matiu needs to tie a bow at the point that represents 5/9 of the total length on the measuring tape. How many feet from the start should Matiu tie the bow? Answer: 10 Solution: The total length of the garland is 18 feet. We need to find 5/9 of 18 feet. The denominator is 9, so the ribbon is divided into 9 equal parts.
    Full step-by-step solution

    Step 1: The total length of the garland is 18 feet. We need to find 5/9 of 18 feet. Step 2: The denominator is 9, so the ribbon is divided into 9 equal parts. Step 3: Divide the total length by the denominator: 18 divided by 9 equals 2. So each part is 2 feet long. Step 4: The numerator is 5, so we need 5 of those parts. Multiply: 5 times 2 equals 10. Step 5: So 5/9 of 18 feet is 10 feet. The answer is 10.

  3. Liam is walking on a nature trail that is 16 kilometers long. He stops to rest at a bench that is located at the 3/4 point of the trail on the trail map's number line. How many kilometers has Liam walked when he reaches the bench? Answer: 12 Solution: Step 1: The total trail length is 16 kilometers Step 2: We need to find 3/4 of 16 kilometers Step 3: To find a fraction of a number, multiply the number by the fraction Step 4: 16 × 3/4 = (16 × 3)/4 = 48/4 = 12 Step 5: Liam has walked 12 kilometers when he reaches the bench Step 6: We can verify…
    Full step-by-step solution

    Step 1: The total trail length is 16 kilometers Step 2: We need to find 3/4 of 16 kilometers Step 3: To find a fraction of a number, multiply the number by the fraction Step 4: 16 × 3/4 = (16 × 3)/4 = 48/4 = 12 Step 5: Liam has walked 12 kilometers when he reaches the bench Step 6: We can verify this makes sense because 3/4 means the trail is divided into 4 equal parts, and 16 ÷ 4 = 4, so each part is 4 kilometers, and 3 parts would be 3 × 4 = 12 kilometers The answer is 12.

  4. A number line from 0 to 1 is divided into 6 equal parts. A frog is sitting on the point that is 4 parts to the right of 0. What fraction represents the frog's position on the number line? Answer: 4/6 Solution: It is divided into 6 equal parts, so each part represents 1/6 of the whole. The frog is 4 parts to the right of 0, so it is at the fourth mark. Since each mark represents 1/6, four marks represent 4/6.
    Full step-by-step solution

    Step 1: The number line from 0 to 1 represents one whole. Step 2: It is divided into 6 equal parts, so each part represents 1/6 of the whole. Step 3: The frog is 4 parts to the right of 0, so it is at the fourth mark. Step 4: Since each mark represents 1/6, four marks represent 4/6. The frog's position is 4/6.

  5. Lily is measuring ribbon for a craft project. She has a ribbon that is 12 inches long. She needs to mark where 3/4 of the ribbon would be on a number line that goes from 0 to 12 inches. How many inches from the start of the ribbon is the 3/4 point? Answer: 9 Solution: We have a ribbon that is 12 inches long. We need to find 3/4 of the ribbon's length. Recall that "of" often means multiplication in math.
    Full step-by-step solution

    Step 1: Understand the problem. We have a ribbon that is 12 inches long. We need to find 3/4 of the ribbon's length. Step 2: Recall that "of" often means multiplication in math. So, 3/4 of 12 inches means: 3/4 × 12 Step 3: Multiply the fraction by the whole number. We can write 12 as 12/1: (3/4) × (12/1) = (3 × 12) / (4 × 1) = 36 / 4 Step 4: Simplify the fraction. 36 divided by 4 is 9. Step 5: Interpret the result. The 3/4 point along the ribbon is 9 inches from the start. Final Answer: 9

  6. A number line is marked from 0 to 1, divided into 8 equal parts. A point is placed on the mark that is 3 parts from 0. What fraction represents the location of this point? Answer: 3/8 Solution: That means there are 8 equal segments between 0 and 1. Determine the size of each part.
    Full step-by-step solution

    Step 1: Understand the problem. The number line goes from 0 to 1 and is divided into 8 equal parts. That means there are 8 equal segments between 0 and 1. Step 2: Determine the size of each part. Since the whole length from 0 to 1 is divided into 8 equal parts, each part represents a fraction of the whole: 1 divided by 8 = 1/8. So each mark represents an increase of 1/8 from the previous mark. Step 3: Locate the point. The point is placed on the mark that is 3 parts from 0. Starting at 0: - After 1 part: location = 1/8 - After 2 parts: location = 2/8 - After 3 parts: location = 3/8 Step 4: Write the answer. The location of the point is 3/8. Final answer: 3/8

  7. A number line is marked from 0 to 1 and divided into 8 equal parts. A point is placed on the mark that is 5 parts from 0. What fraction represents the location of this point? Answer: 5/8 Solution: That means each part represents 1/8 of the whole length. Identify the location of the point. The point is placed on the mark that is 5 parts from 0.
    Full step-by-step solution

    Step 1: Understand the problem. The number line goes from 0 to 1 and is divided into 8 equal parts. That means each part represents 1/8 of the whole length. Step 2: Identify the location of the point. The point is placed on the mark that is 5 parts from 0. Since each part is 1/8, 5 parts from 0 means 5 × (1/8). Step 3: Calculate the fraction. 5 × (1/8) = 5/8. Step 4: Interpret the result. The fraction 5/8 means the point is five-eighths of the way from 0 to 1. Final Answer: 5/8

  8. Tane is helping his grandmother make a long garland for a party. The garland needs to be 12 feet long. They have a measuring tape that goes from 0 to 12 feet. Tane needs to attach a decoration at the point that represents 5/6 of the total length on the measuring tape. How many feet from the start should Tane attach the decoration? Answer: 10 Solution: The total length of the garland is 12 feet. We need to find 5/6 of 12 feet. Step 2: The denominator 6 means the whole length is divided into 6 equal parts.
    Full step-by-step solution

    Step 1: The total length of the garland is 12 feet. We need to find 5/6 of 12 feet. Step 2: The denominator 6 means the whole length is divided into 6 equal parts. Step 3: Divide the total length by the denominator: 12 divided by 6 equals 2. So each part is 2 feet long. Step 4: The numerator 5 means we need 5 of those equal parts. Multiply: 5 times 2 equals 10. Step 5: So 5/6 of 12 feet is 10 feet. The answer is 10.