Three equivalent ratios for 1 2/3: 5/4

(1 2/3):(5/4)

= (5/3):(5/4)
= 4:3

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To find three equivalent ratios for 1 2/3: 5/4, we can multiply both the numerator and denominator of the given ratio by the same number to obtain equivalent ratios.

Let's first convert 1 2/3 into an improper fraction:

1 2/3 = (3 * 1 + 2) / 3 = 5 / 3

Now, we can find equivalent ratios by multiplying the numerator and denominator of 5/3 by the same number:

1. Multiply by 2:
5/3 * 2 = (5 * 2) / (3 * 2) = 10/6

2. Multiply by 3:
5/3 * 3 = (5 * 3) / (3 * 3) = 15/9

3. Multiply by 4:
5/3 * 4 = (5 * 4) / (3 * 4) = 20/12

Therefore, three equivalent ratios for 1 2/3: 5/4 are 10/6, 15/9, and 20/12.