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Select and drag the ratios to the empty boxes to correctly complete each equation.

a) 3/4=6/8
b) 5/2=15/6
c) 1/3=2/6
d) 7/8=14/16

User Mmatyas
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1 Answer

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Final answer:

To solve the equations, set up proportions by setting each ratio equal to the unit scale. Cross-multiply and solve for the unknowns to find the length and width ratios.

Step-by-step explanation:

To solve the given equations, we need to set up proportions by setting each ratio equal to the unit scale. Let's go through each equation:

a) 3/4 = 6/8

To form a proportion, we set the length ratios equal to each other:

3/4 = L/1

Cross-multiplication gives us 4L = 3*1, which simplifies to 4L = 3. Dividing both sides by 4, we find L = 3/4.

For the width ratios, we have:

6/8 = W/1

Cross-multiplication gives us 8W = 6*1, which simplifies to 8W = 6. Dividing both sides by 8, we find W = 6/8.

b) 5/2 = 15/6

Again, we set the length ratios equal to each other:

5/2 = L/1

Cross-multiplication gives us 2L = 5*1, which simplifies to 2L = 5. Dividing both sides by 2, we find L = 5/2.

For the width ratios, we have:

15/6 = W/1

Cross-multiplication gives us 6W = 15*1, which simplifies to 6W = 15. Dividing both sides by 6, we find W = 15/6.

c) 1/3 = 2/6

Setting the length ratios equal to each other:

1/3 = L/1

Cross-multiplication gives us 3L = 1*1, which simplifies to 3L = 1. Dividing both sides by 3, we find L = 1/3.

For the width ratios, we have:

2/6 = W/1

Cross-multiplication gives us 6W = 2*1, which simplifies to 6W = 2. Dividing both sides by 6, we find W = 2/6.

d) 7/8 = 14/16

Setting the length ratios equal to each other:

7/8 = L/1

Cross-multiplication gives us 8L = 7*1, which simplifies to 8L = 7. Dividing both sides by 8, we find L = 7/8.

For the width ratios, we have:

14/16 = W/1

Cross-multiplication gives us 16W = 14*1, which simplifies to 16W = 14. Dividing both sides by 16, we find W = 14/16.

User Sirber
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