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19 days ago

5

Jenna mixed two shades of purple paint. For Purple People Eater, she used 3 pints of red paint for every 5 pints of blue paint.

For Purple Majesty, she used a blue to red paint ratio of 7 to 4. Compare the ratios of red paint to blue paint. The ratio for Purple People Eater can be expressed in fraction form as . The ratio for Purple Majesty can be expressed in fraction form as . To compare these fractions, rewrite them with a common denominator of . The ratio of red paint to blue paint in Purple People Eater is the ratio in Purple Majesty.

2 answers:

zzz [9K]19 days ago

6 0

Answer:

1.3/5

2.4/7

3.35

4.greater than

Svet_ta [9.5K]19 days ago

6 0

Answer:

$\frac{12}{35}$

Step-by-step explanation:

Details:

→ For Purple People Eater, 3 pints of red paint were used for every 5 pints of blue paint.

Thus, The red to blue paint ratio is 3:5

→ For Purple Majesty, the ratio of blue paint to red paint is 7 to 4.

This means The ratio of red paint to blue paint is 4:7

To determine:

1) Compare the ratios of red to blue paint.

$\frac{3}{5}\times \frac{4}{7}=\frac{12}{35}$

2) The fraction form of the Purple People Eater ratio is:

$=\frac{3}{5}$

3) The fraction form for Purple Majesty is:

$=\frac{7}{4}$

4) To compare these fractions, create a common denominator.

For a common denominator,

Multiply the numerator and denominator by 4 in $\frac{3}{5}$

$\Rightarrow\frac{3\times 4}{5\times4}=\frac{12}{20}$

Multiply the numerator and denominator by 5 in $\frac{7}{4}$

$\Rightarrow\frac{7\times 5}{5\times4}=\frac{35}{20}$

The common denominator is 20.

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