A true statement by inserting a symbol displaystyle<,>{quadtext{or}quad}= between the given numbers displaystyle{0.58}overline{{3}}{quadtext{and}quad}frac{6}{{11}}

Question

A true statement by inserting a symbol

<, > or =

between the given numbers

0.58 \overset{―}{3} and \frac{6}{11}

Answer 1

Calculation: To compare the numbers

0.58 \overset{―}{3} and \frac{6}{11},

first we right the fraction

\frac{6}{11}

as decimal
and compare with the decimal

0.58 \overset{―}{3} .

11 \frac{0.5454}{6.00}

- \frac{55}{50}

- \frac{45}{50}

- \frac{45}{50}

- \frac{45}{5}

Therefore,

\frac{6}{11} = 0.545454 or 0 . \overset{―}{54}

Now, we compare this with given decimal

0.58 \overset{―}{3} .

Original numbers

0.58 \overset{―}{3} \frac{6}{11}

Decimals

0.58 \overset{―}{3} 0 . \overset{―}{54}

Compare

0.58 \overset{―}{3} > 0 . \overset{―}{54}

Thus,

0.58 \overset{―}{3} > \frac{6}{11} .

Answer:

0.58 \overset{―}{3} > \frac{6}{11}

Expert Answer