Q6. - Algebra 1

Question

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

$-\frac{7}{11}·-\frac{2}{3}$

Step-by-Step Solution

Answer

The true sentence is $-\frac{7}{11}>-\frac{2}{3}$.

Step 1. Convert the fractions into a decimal.

We can find that $-\frac{7}{11}=-0.636363....$.

And $-\frac{2}{3}=-0.666666....$

Step 2. Compare the decimals.

We will compare - 0.636363… and – 0.666666…

 

We know that, - 0.636363 > – 0.666666…

Step 3. Replace decimals with original fractions.

We replace – 0.636363 with $-\frac{7}{11}$.

And we replace – 0.666666…... with $-\frac{2}{3}$.

 

Thus we get: $-\frac{7}{11}>-\frac{2}{3}$