Question

1. Is 2/12 = 5/28 a true proportion?

Step 1. Cross multiply.

2 x 28 = 12 x 56
56 = 672


Step 2. is the proportion true?

-----, because the cross products are not ----------.

The proportion -------- true, because 2/12 and 5/28 ------------ equivalent ratios.

Answer 1

Solution (1):

We know that:

• Given proportion: 2:12 = 5:28

Step-by step calculations:

Simplify the LHS:

• 2:12 = 5:28
• => 1:6 = 5:28

Remember: (a:b = c:d) = (a x d = b x c)

Use cross multiplication:

• => 1:6 = 5:28
• => 28 = 30 (False)

Solution (2):

• No, because the cross products are not equivalent.
• The proportion is not true, because 2/12 and 5/28 are not equivalent ratios.

Answer 2

• See below

Explanation:

Step 1

• 2/12 = 5/28
• 2*28 = 12*5
• 56 = 60

False equation

Step 2

• No, because the cross products are not equal.

• The proportion is not true, because 2/12 and 5/28 are not equivalent ratios.