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Mnenie [13.5K]
2 years ago
9

Sort the ratios listed at the right into bins so that equivalent ratios are grouped together:

Mathematics
2 answers:
Mazyrski [523]2 years ago
4 0
First bin: 40:64, 65/104,6/16
Second bin: 5/75, 15:225
Third bin: 14:35,6/15,12/30
Fourth bin: 24:64,66/176, 48:128
cestrela7 [59]2 years ago
3 0

Step 1

<u>Find the irreducible fraction in each ratio</u>

<u>case 1)</u>  \frac{40}{64}

Divide by 8 boths numerator and denominator

\frac{40}{64}=\frac{5}{8}

<u>case 2)</u>  \frac{5}{75}

Divide by 5 boths numerator and denominator

\frac{5}{75}=\frac{1}{15}

<u>case 3)</u>  \frac{14}{35}

Divide by 7 boths numerator and denominator

\frac{14}{35}=\frac{2}{5}

<u>case 4)</u>  \frac{24}{64}

Divide by 8 boths numerator and denominator

\frac{24}{64}=\frac{3}{8}

<u>case 5)</u>  \frac{6}{15}

Divide by 3 boths numerator and denominator

\frac{6}{15}=\frac{2}{5}

<u>case 6)</u>  \frac{65}{104}

Divide by 13 boths numerator and denominator

\frac{65}{104}=\frac{5}{8}

<u>case 7)</u>  \frac{66}{176}

Divide by 22 boths numerator and denominator

\frac{66}{176}=\frac{3}{8}

<u>case 8)</u>  \frac{12}{30}

Divide by 6 boths numerator and denominator

\frac{12}{30}=\frac{2}{5}

<u>case 9)</u>  \frac{15}{225}

Divide by 15 boths numerator and denominator

\frac{15}{225}=\frac{1}{15}

<u>case 10)</u>  \frac{6}{16}

Divide by 2 boths numerator and denominator

\frac{6}{16}=\frac{3}{8}

<u>case 11)</u>  \frac{15}{24}

Divide by 3 boths numerator and denominator

\frac{15}{24}=\frac{5}{8}

<u>case 12)</u>  \frac{48}{128}

Divide by 16 boths numerator and denominator

\frac{48}{128}=\frac{3}{8}

Step 2

<u>Sort the ratios into bins</u>

1<u>) First Bin</u>

<u>Ratio=\frac{5}{8} </u>

\frac{40}{64}

\frac{65}{104}

\frac{15}{24}

<u>2) Second Bin </u>

<u>Ratio=\frac{1}{15} </u>

\frac{5}{75}

\frac{15}{225}

<u>3) Third Bin</u>

Ratio=\frac{2}{5}

\frac{14}{35}

\frac{6}{15}

\frac{12}{30}

4<u>) Fourth Bin</u>

<u>Ratio=\frac{3}{8} </u>

\frac{24}{64}

\frac{66}{176}

\frac{6}{16}

\frac{48}{128}

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