Practice B: Fractions
Chapter 6 · Consolidation 2
Mixed consolidation. Attempt problems independently before revealing the solutions.
Are 1/4 and 3/12 equivalent? Explain.
Show answer & reasoning
Multiply numerator and denominator of 1/4 by the same factor 3; the represented amount is unchanged.
Order these fractions from least to greatest: 9/10, 2/3, 3/4.
Show answer & reasoning
Rename all three fractions using a common denominator, then compare numerators for equal-size parts.
Write 21/4 as a mixed number in simplest form.
Show answer & reasoning
21 ÷ 4 gives 5 full wholes and 1 remaining parts of size 1/4. Simplify the fractional part to obtain 5 1/4.
Write 34/6 as a mixed number in simplest form.
Show answer & reasoning
34 ÷ 6 gives 5 full wholes and 4 remaining parts of size 1/6. Simplify the fractional part to obtain 5 2/3.
Write 2 2/4 as an improper fraction.
Show answer & reasoning
Each whole has 4 parts. 2 wholes and 2 more parts make 10 parts.
6 identical pies are shared equally among 4 children. What fraction of one pie does each child get?
Show answer & reasoning
Divide 6 equal wholes into 4 shares: each gets 6/4 of a pie, equivalent to 3/2.
Are 1/2 and 4/8 equivalent? Explain.
Show answer & reasoning
Multiply numerator and denominator of 1/2 by the same factor 4; the represented amount is unchanged.
Order these fractions from least to greatest: 4/5, 6/8, 2/4.
Show answer & reasoning
Rename all three fractions using a common denominator, then compare numerators for equal-size parts.
Write 16/12 as a mixed number in simplest form.
Show answer & reasoning
16 ÷ 12 gives 1 full wholes and 4 remaining parts of size 1/12. Simplify the fractional part to obtain 1 1/3.
Write 13/3 as a mixed number in simplest form.
Show answer & reasoning
13 ÷ 3 gives 4 full wholes and 1 remaining parts of size 1/3. Simplify the fractional part to obtain 4 1/3.
Write 5 2/3 as an improper fraction.
Show answer & reasoning
Each whole has 3 parts. 5 wholes and 2 more parts make 17 parts.
5 identical pies are shared equally among 3 children. What fraction of one pie does each child get?
Show answer & reasoning
Divide 5 equal wholes into 3 shares: each gets 5/3 of a pie, equivalent to 5/3.
Are 1/3 and 4/12 equivalent? Explain.
Show answer & reasoning
Multiply numerator and denominator of 1/3 by the same factor 4; the represented amount is unchanged.
Order these fractions from least to greatest: 4/8, 4/5, 2/5.
Show answer & reasoning
Rename all three fractions using a common denominator, then compare numerators for equal-size parts.
Write 11/2 as a mixed number in simplest form.
Show answer & reasoning
11 ÷ 2 gives 5 full wholes and 1 remaining parts of size 1/2. Simplify the fractional part to obtain 5 1/2.
Write 5/2 as a mixed number in simplest form.
Show answer & reasoning
5 ÷ 2 gives 2 full wholes and 1 remaining parts of size 1/2. Simplify the fractional part to obtain 2 1/2.
Write 4 4/6 as an improper fraction.
Show answer & reasoning
Each whole has 6 parts. 4 wholes and 4 more parts make 28 parts.
1 identical pies are shared equally among 6 children. What fraction of one pie does each child get?
Show answer & reasoning
Divide 1 equal wholes into 6 shares: each gets 1/6 of a pie, equivalent to 1/6.