enVision Mathematics Grade 4, Topic 8: Extend Fraction Concepts
In this unit, your child learns why fractions like 3/4 and 6/8 name the same amount, and how to make equivalent fractions by multiplying or dividing the numerator and denominator by the same number. They compare fractions with different denominators. It uses the factors and multiples from the last unit, and leads into adding and subtracting fractions.
By Robert “Bobby” BarnettMath teacher, parent, and founder of Bobby’s Math Club
What is my child learning in Topic 8?
- Making equivalent fractions by multiplying or dividing the numerator and denominator by the same number, and showing why with a model. Learn more: Why fractions like 3/4 and 6/8 are equal
- Comparing two fractions, like 3/8 and 2/5, with a common denominator, a common numerator, or the benchmark 1/2. Learn more: Comparing fractions like 2/3 and 5/6
Sample questions to try together
These are real questions from our practice. Tap the speaker to hear one read aloud, or the light bulb for a hint, and talk about the answer together.
Question 1 of 3
What is the missing number? 4/5 = ?/10
- 4
- 9
- 8
How you can help
- Fold a sheet of paper into fourths and shade 1/4. Fold it again into eighths, and ask your child how many eighths are shaded now and why the amount stayed the same.
- Use measuring cups while making lemonade. Ask whether two 1/4 cups fill one 1/2 cup, then pour to check and connect it to 2/4 = 1/2.
- Ask "more or less than half?" while pouring drinks. Then compare two same-size glasses, one 3/8 full and one 3/4 full, and have your child explain which holds more.
Where kids can get stuck
- Multiplying only the denominator, so 3/4 seems equal to 3/8.
- Adding the same number to the numerator and denominator, so 2/3 seems equal to 4/5.
- Thinking bigger numbers mean a bigger fraction, so 3/10 seems greater than 2/3.
Practice makes perfect
Bobby's Math Club has practice problems that adapt to your child’s level, each with a detailed explanation and an easy-to-follow video, so your child can build confidence in these skills one step at a time.
Words your child will hear
- numerator
- The top number of a fraction, telling how many equal parts are counted.
- denominator
- The bottom number of a fraction, telling how many equal parts make one whole.
- equivalent fractions
- Fractions that name the same amount, like 3/4 and 6/8.
- common denominator
- The same denominator shared by two fractions, which makes them easy to compare or add.
- common numerator
- The same numerator shared by two fractions, so you only compare the size of the parts.
- benchmark fraction
- A familiar fraction, like 1/2 or 1, used to compare other fractions.
- whole
- The entire object or group that a fraction is part of.
Want to help your child master equivalent fractions?
In Bobby's Math Club, your child practices these skills at just the right level, with a hint when they need one, a clear explanation after every question, and kid-friendly videos. Unlimited practice is free.
Join the club
Written by Robert “Bobby” Barnett
Bobby is an award-winning math teacher, the author of Meet Every Learner’s Needs, and the father of two elementary-school math learners. He uses Bobby’s Math Club with his own kids a few times every week. Learn more or contact Bobby.
Which math standards does enVision Mathematics Grade 4 Topic 8 cover?
enVision Mathematics Grade 4 Topic 8 covers these math standards. Each one links to what it means, sample questions, and teaching strategies.
For teachers: Unit names and order vary between editions and districts, so your school’s own materials have the exact sequence. Learn how Bobby's Math Club can help your students grow.