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

A 6:1
B1:4
C4:1
D24:6
E15:6
F1200:300
G112:13​

User Amir Arad
by
7.0k points

1 Answer

3 votes

Answer:

C 4:1

D 24:6

F 1200:300

Explanation:

The given ratio is
(12)/(3)

Simplify

Divide by 3 both numerator and denominator


(4)/(1)

Verify each case

case A) we have


(6)/(1)

Compare with the given ratio


(6)/(1) \\eq (4)/(1)

therefore

The ratio is not equivalent

case B) we have


(1)/(4)

Compare with the given ratio


(1)/(4) \\eq (4)/(1)

therefore

The ratio is not equivalent

case C) we have


(4)/(1)

Compare with the given ratio


(4)/(1)=(4)/(1)

therefore

The ratio is equivalent

case D) we have


(24)/(6)

Simplify

Divide by 6 both numerator and denominator


(4)/(1)

Compare with the given ratio


(4)/(1)=(4)/(1)

therefore

The ratio is equivalent

case E) we have


(15)/(6)

Simplify

Divide by 3 both numerator and denominator


(5)/(2)

Compare with the given ratio


(5)/(2) \\eq (4)/(1)

therefore

The ratio is not equivalent

case F) we have


(1,200)/(300)

Simplify

Divide by 300 both numerator and denominator


(4)/(1)

Compare with the given ratio


(4)/(1)=(4)/(1)

therefore

The ratio is equivalent

case G) we have


(112)/(13) ----> irreducible

Compare with the given ratio


(112)/(13) \\eq (4)/(1)

therefore

The ratio is not equivalent

User Riri
by
7.0k points