Question

1. which ratio is proportional to \\( \frac { 2.7 } { 3 } \\)? \\( \frac { 9 } { 10 } \\) \\( \frac { 0.9 } { 10 } \\) \\( \frac { 0.09 } { 1 } \\) \\( 1 \frac { 9 } { 1 } \\)

Explanation:

Step1: Simplify the given ratio

First, simplify \(\frac{2.7}{3}\). We can divide \(2.7\) by \(3\): \(2.7\div3 = 0.9\), so \(\frac{2.7}{3}=0.9=\frac{9}{10}\) (since \(0.9=\frac{9}{10}\)).

Step2: Check each option

• Option 1: \(\frac{9}{1}\) is \(9\), not equal to \(0.9\).
• Option 2: \(\frac{0.09}{1}=0.09\), not equal to \(0.9\).
• Option 3: \(\frac{0.9}{10}=0.09\), not equal to \(0.9\).
• Option 4: \(\frac{9}{10}=0.9\), which is equal to the simplified form of \(\frac{2.7}{3}\).

Answer:

\(\frac{9}{10}\) (the fourth option, assuming the options are ordered as shown: the first circle with \(\frac{9}{10}\))