Curriculum›4A›Chapter 6

Chapter 6 — cumulative chapter review

Semester 4A · Chapter 6 · 33 questions

This review integrates every chapter learning objective. Try questions before revealing answers.

Question 1 · reasoning

Are 3/6 and 12/24 equivalent? Explain.

Question 2 · comparison

Insert <, >, or =: 1/3 ___ 2/5.

Question 3 · conversion

Write 26/5 as a mixed number in simplest form.

Question 4 · conversion

Write 47/10 as a mixed number in simplest form.

Question 5 · calculation

Write 4 2/3 as an improper fraction.

Question 6 · sharing

4 identical pies are shared equally among 8 children. What fraction of one pie does each child get?

Question 7 · reasoning

Are 1/2 and 2/4 equivalent? Explain.

Question 8 · comparison

Insert <, >, or =: 2/10 ___ 7/10.

Question 9 · conversion

Write 23/4 as a mixed number in simplest form.

Question 10 · conversion

Write 22/10 as a mixed number in simplest form.

Question 11 · calculation

Write 2 1/12 as an improper fraction.

Question 12 · sharing

3 identical pies are shared equally among 6 children. What fraction of one pie does each child get?

Question 13 · reasoning

Are 1/5 and 2/10 equivalent? Explain.

Question 14 · comparison

Insert <, >, or =: 1/8 ___ 7/8.

Question 15 · conversion

Write 13/4 as a mixed number in simplest form.

Question 16 · conversion

Write 49/12 as a mixed number in simplest form.

Question 17 · calculation

Write 1 3/12 as an improper fraction.

Question 18 · sharing

9 identical pies are shared equally among 9 children. What fraction of one pie does each child get?

Question 19 · reasoning

Are 3/10 and 15/50 equivalent? Explain.

Question 20 · comparison

Insert <, >, or =: 9/10 ___ 1/4.

Question 21 · conversion

Write 19/10 as a mixed number in simplest form.

Question 22 · conversion

Write 16/3 as a mixed number in simplest form.

Question 23 · calculation

Write 1 2/6 as an improper fraction.

Question 24 · sharing

3 identical pies are shared equally among 5 children. What fraction of one pie does each child get?

Question 25 · reasoning

Are 4/12 and 20/60 equivalent? Explain.

Question 26 · comparison

Insert <, >, or =: 2/4 ___ 6/8.

Question 27 · conversion

Write 14/4 as a mixed number in simplest form.

Question 28 · error analysis

A student claims 2/3 equals 3/4 because the numerator and denominator each increase by 1. Explain the error.

Question 29 · reasoning

Two students each shade 2/5 of a rectangle, but one rectangle has twice the area of the other. Are the shaded areas necessarily equal? Explain.

Question 30 · error analysis

Someone calls 7/4 seven whole numbers. Express 7/4 as a mixed number and explain.

Question 31 · error analysis

A student says 11/3 = 3 1/3. Use groups of thirds to correct the mixed number.

Question 32 · error analysis

A student converts 2 3/5 to 5/13. Explain the mistake and provide the correct improper fraction.

Question 33 · reasoning

Three equal pies are shared equally among four people. What fraction of a pie does each person get, and why?