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Trail Signs: Same Spot, New Fraction Name worksheet preview

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Trail Signs: Same Spot, New Fraction Name

Grade 4 equivalent fractions practice on hiking trails: split each part into equal pieces to see why multiplying top and bottom keeps a fraction equal.

Grade 4MathInteractive · Printable

Aligned to4.NF.A.1

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What’s included

  • Single worksheet
  • Auto-graded online
  • 1 Common Core standard
  • Printable answer key
  • 10 questions
  • Classroom-ready

Details

Format
Interactive · Printable
Grade
Grade 4
Subject
Math
Question types
Fill in the blank, Multiple choice, Circle the answer, Sorting, Short answer

About this worksheet

What students practice

  • Students use number lines and fraction strips to show that a/b equals (n × a)/(n × b).
  • Students explain that splitting each part into n pieces makes n times as many smaller parts.
  • Students find the missing numerator or denominator in a pair of equivalent fractions.

How to use

Use after students can place fractions on a number line. Have them trace each trail with a finger and count the parts before and after the new signs are added.

Curriculum

Common Core standard covered

4.NF.A.1

Explain why multiplying the top and bottom of a fraction by the same number gives an equivalent fraction.

Preview

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Name Date

Trail Signs: Same Spot, New Fraction Name

Split a trail into more equal parts and see why the fraction stays equal.

Split the trail

Each trail is 1 mile long. Use the pictures to answer.

1.
The Pine Trail is 1 mile long. Signs split it into 5 equal parts. Rosa stops for water at the dot.01
Rangers add a new sign in the middle of each part.01

Before the new signs, Rosa's spot is  /5 mile.
Now the trail has   equal parts, and Rosa's spot is  /10 mile.
2/5 = (2 ×  )/(5 × 2) = 4/10

2.
On the Pine Trail, each fifth was split into 2 equal parts. Why did the numerator change from 2 to 4?
  • A. The trail became 2 times as long.
  • B. Rosa walked 2 more parts of the trail, so she went farther.
  • C. Each of the 2 parts Rosa walked was split into 2 pieces, so she walked 4 smaller pieces.
  • D. You always add 2 to the numerator and to the denominator.
3.
This strip is a map of the Lake Trail. It has 3 equal parts. Kai has hiked the shaded part.
A ranger splits each part of the map into 4 equal pieces.

1/3 = (1 × 4)/(3 × 4) =  / 

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