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Part 1: Write the fraction that is shaded and the fraction that is unshaded. Part 2: Write <, >, or = to compare the fractions.

Mathematics

ScanSolve AI Answer

Part 1: Write the fraction that is shaded and the fraction that is unshaded.

  1. a) Fraction shaded: 28\boxed{\frac{2}{8}} b) Fraction unshaded: 68\boxed{\frac{6}{8}}

  2. a) Fraction shaded: 48\boxed{\frac{4}{8}} b) Fraction unshaded: 48\boxed{\frac{4}{8}}

  3. a) Fraction shaded: 38\boxed{\frac{3}{8}} b) Fraction unshaded: 58\boxed{\frac{5}{8}}

  4. a) Fraction shaded: 28\boxed{\frac{2}{8}} b) Fraction unshaded: 68\boxed{\frac{6}{8}}

Part 2: Write <,>,<, >, or == to compare the fractions below.

a) Compare 12\frac{1}{2} and 14\frac{1}{4}.
To compare, convert 12\frac{1}{2} to an equivalent fraction with a denominator of 4:

12=1×22×2=24\frac{1}{2} = \frac{1 \times 2}{2 \times 2} = \frac{2}{4}

Now compare 24\frac{2}{4} and 14\frac{1}{4}.

24>14\frac{2}{4} > \frac{1}{4}

So, 12>14\boxed{\frac{1}{2} > \frac{1}{4}}

b) Compare 28\frac{2}{8} and 14\frac{1}{4}.
Simplify 28\frac{2}{8}:

28=2÷28÷2=14\frac{2}{8} = \frac{2 \div 2}{8 \div 2} = \frac{1}{4}

Now compare 14\frac{1}{4} and 14\frac{1}{4}.

14=14\frac{1}{4} = \frac{1}{4}

So, 28=14\boxed{\frac{2}{8} = \frac{1}{4}}

c) Compare 38\frac{3}{8} and 12\frac{1}{2}.
To compare, convert 12\frac{1}{2} to an equivalent fraction with a denominator of 8:

12=1×42×4=48\frac{1}{2} = \frac{1 \times 4}{2 \times 4} = \frac{4}{8}

Now compare 38\frac{3}{8} and 48\frac{4}{8}.

38<48\frac{3}{8} < \frac{4}{8}

So, 38<12\boxed{\frac{3}{8} < \frac{1}{2}}

d) Compare 68\frac{6}{8} and 34\frac{3}{4}.
Simplify 68\frac{6}{8}:

68=6÷28÷2=34\frac{6}{8} = \frac{6 \div 2}{8 \div 2} = \frac{3}{4}

Now compare 34\frac{3}{4} and 34\frac{3}{4}.

34=34\frac{3}{4} = \frac{3}{4}

So, 68=34\boxed{\frac{6}{8} = \frac{3}{4}}

e) Compare 1 and 44\frac{4}{4}.
The fraction 44\frac{4}{4} represents a whole.

44=1\frac{4}{4} = 1

Now compare 1 and 1.

1=11 = 1

So, 1=44\boxed{1 = \frac{4}{4}}

f) Compare 48\frac{4}{8} and 14\frac{1}{4}.
Simplify 48\frac{4}{8}:

48=4÷48÷4=12\frac{4}{8} = \frac{4 \div 4}{8 \div 4} = \frac{1}{2}

To compare 12\frac{1}{2} and 14\frac{1}{4}, convert 12\frac{1}{2} to an equivalent fraction with a denominator of 4:

12=1×22×2=24\frac{1}{2} = \frac{1 \times 2}{2 \times 2} = \frac{2}{4}

Now compare 24\frac{2}{4} and 14\frac{1}{4}.

24>14\frac{2}{4} > \frac{1}{4}

So, 48>14\boxed{\frac{4}{8} > \frac{1}{4}}

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