Question

Replace each • with <, >, or = to make a true sentence.

$1.2·1\frac{2}{9}$

Short answer

The true statement is $1.2<1\frac{2}{9}$.

Step-by-step solution

Step 1. Convert the fraction into a decimal.

We can find that $1\frac{2}{9}=1.2222...$.

Step 2. Convert the decimals to same number of digits.

1.2222…. has infinite digits after the decimal.

To make 1.2 like that, we can put as many zeros on the right side of the decimal.

So, 1.2 = 1.2000….

Step 3. Compare the decimals.

We will compare 1.2000… and 1.2222...

1.2000…. < 1.2222….

Step 4. Replace 1.2222… by a fraction.

We replace 1.2222… by $1\frac{2}{9}$to get the final answer.

That is:$1.2<1\frac{2}{9}$