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Grade 5 Math Worksheet: Fractions Mastery

Worksheet · Grade 8 · English

Grade 5 Math Worksheet: Fractions Mastery

Equivalent Fractions

  1. Shade the models below to show that
    
    and
    
    are equivalent fractions. (Use the area models provided)
[Image: Two rectangles divided into 4 and 2 equal parts, respectively.]
  1. Write two different fractions that are equivalent to
    
    . Show your reasoning using a bar model or by multiplying numerator and denominator by the same number.


Addition and Subtraction of Fractions

  1. Add the following fractions. Show your work and draw a model if needed:


  1. Subtract the following fractions. Draw a bar model to help visualize:



Multiplication of Fractions

  1. Solve:

Use an area model to show how you found your answer.
[Image: Rectangle divided into thirds vertically and fourths horizontally, showing overlap.]


Word Problems Involving Fractions

  1. Mia baked a pizza and cut it into 8 equal slices. She ate
    
    of the pizza and gave
    
    of it to her friend. What fraction of the pizza is left? Show your work.


Mixed Practice

  1. Answer the following:
a) Which is greater:

or

? Explain how you know.
b) Write a fraction equal to

in simplest form.


Challenge Problems

  1. Critical Thinking: You have a ribbon that is
    
    meter long. If you cut it into pieces that are each
    
    meter long, how many pieces will you have? Show all your work.

  1. Problem Solving: A recipe needs
    
    cup of sugar for one batch of cookies. If you want to make one and a half batches, how much sugar do you need in total? Write your answer as a fraction in simplest form and explain your steps.

Show your work below each question. Draw models where asked. Use extra paper if you need more space.

[Space for student work is intentionally left after each question.]