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densk [106]
3 years ago
8

Select all the ratios that are equivalent to the ratio 12:3. explain how you know( show multiplication or division)

Mathematics
1 answer:
grigory [225]3 years ago
3 0

Answer:

C 4:1

D 24:6

F 1200:300

Step-by-step explanation:

The given ratio is  \frac{12}{3}

Simplify

Divide by 3 both numerator and denominator

\frac{4}{1}

<u><em>Verify each case</em></u>

case A) we have

\frac{6}{1}

Compare with the given ratio

\frac{6}{1} \neq \frac{4}{1}

therefore

The ratio is not equivalent

case B) we have

\frac{1}{4}

Compare with the given ratio

\frac{1}{4} \neq \frac{4}{1}

therefore

The ratio is not equivalent

case C) we have

\frac{4}{1}

Compare with the given ratio

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

therefore

The ratio is equivalent

case D) we have

\frac{24}{6}

Simplify

Divide by 6 both numerator and denominator

\frac{4}{1}

Compare with the given ratio

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

therefore

The ratio is equivalent

case E) we have

\frac{15}{6}

Simplify

Divide by 3 both numerator and denominator

\frac{5}{2}

Compare with the given ratio

\frac{5}{2} \neq \frac{4}{1}

therefore

The ratio is not equivalent

case F) we have

\frac{1,200}{300}

Simplify

Divide by 300 both numerator and denominator

\frac{4}{1}

Compare with the given ratio

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

therefore

The ratio is equivalent

case G) we have

\frac{112}{13} ----> irreducible

Compare with the given ratio

\frac{112}{13} \neq \frac{4}{1}

therefore

The ratio is not equivalent

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