Drag the expressions to show the order of their quotients from least to greatest.
4/5 ÷ 1/12
1/9 ÷ 1/8
1/9 ÷ 1/12
4/5 ÷ 1/8
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To find the order of the quotients from least to greatest, let’s calculate each expression one by one.
1. 4/5 ÷ 1/12 = 4/5 × 12/1 = (4 × 12) / 5 = 48/5 = 9.6
2. 1/9 ÷ 1/8 = 1/9 × 8/1 = 8/9 ≈ 0.89
3. 1/9 ÷ 1/12 = 1/9 × 12/1 = 12/9 = 4/3 ≈ 1.33
4. 4/5 ÷ 1/8 = 4/5 × 8/1 = (4 × 8) / 5 = 32/5 = 6.4
Now, we can compare the values:
– 1/9 ÷ 1/8 = 0.89
– 1/9 ÷ 1/12 ≈ 1.33
– 4/5 ÷ 1/8 = 6.4
– 4/5 ÷ 1/12 = 9.6
So, in order from least to greatest:
1. 1/9 ÷ 1/8
2. 1/9 ÷ 1/12
3. 4