Which of the following is equivalent ratio?

A. 6:9 = 36:45

B. 4:5 = 20:25

C. 3:4 = 9:15

D. 5:12 = 30:62


Sagot :

Answer:

B. 4:5 = 20:25

Step-by-step explanation:

[tex] A. \\ \sf{ \frac{6}{9} = \frac{36}{35} } \\ \sf{6 \: ‧ \: 45 \: = \: 36 \: ‧ \: 9} \\ \sf{270 = 324} \\ \red{ \times } [/tex]

[tex]\\[/tex]

[tex] B. \\ \sf{ \frac{4}{5} = \frac{20}{25} } \\ \sf{4 \: ‧ \: 25 \: = \: 20 \: ‧ \: 5} \\ \sf{100 = 100} \\ \green{✓} [/tex]

[tex]\\[/tex]

[tex] C. \\ \sf{ \frac{3}{4} = \frac{9}{15} } \\ \sf{3 \: ‧ \: 15 \: = \: 9 \: ‧ \: 4} \\ \sf{45 = 36} \\ \red{×} [/tex]

[tex]\\[/tex]

[tex] D. \\ \sf{ \frac{5}{12} = \frac{30}{62} } \\ \sf{5 \: ‧ \: 62 \: = \: 30 \: ‧ \: 12} \\ \sf{310 = 360} \\ \red{×} [/tex]

[tex]\\[/tex]

I used cross-multiplication

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