Converting a Fraction to a Repeating Decimal Advanced Online Quiz

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Q 1 - Convert $\mathbf {\frac{9}{7}}$ into a decimal. If necessary, use a bar to indicate which digit or group of digits repeats.

A - $1.\overline{285714}$

B - $1.\overline{284714}$

C - $1.\overline{295714}$

D - $1.\overline{285716}$

Answer : A

Explanation

Step 1:

Using long division, $\frac{9}{7} = 1.285714285714...$

Step 2:

Putting a bar over repeating 285714, we get $1.285714285714... = 1.\overline{285714}$

Step 3:

So, $\frac{9}{7} = 1.\overline{285714}$

Q 2 - Convert $\mathbf {\frac{11}{9}}$ into a decimal. If necessary, use a bar to indicate which digit or group of digits repeats.

Answer : C

Explanation

Step 1:

Using long division, $\frac{11}{9} = 1.222...$

Step 2:

Putting a bar over repeating 2, we get $1.222... = 1.\bar{2}$

Step 3:

So, $\frac{11}{9} = 1.\bar{2}$

Q 3 - Convert $\mathbf {\frac{14}{3}}$ into a decimal. If necessary, use a bar to indicate which digit or group of digits repeats.

Answer : B

Explanation

Step 1:

Using long division, $\frac{14}{3} = 4.666...$

Step 2:

Putting a bar over repeating 6, we get $4.666.... = 4.\bar{6}$

Step 3:

So, $\frac{14}{3} = 4.\bar{6}$

Q 4 - Convert $\mathbf {\frac{16}{3}}$ into a decimal. If necessary, use a bar to indicate which digit or group of digits repeats.

Answer : D

Explanation

Step 1:

Using long division, $\frac{16}{3} = 5.333... = 5.\bar{3}$

Step 2:

Putting a bar over repeating 3, we get $5.333.... = 5.\bar{3}$

Step 3:

So, $\frac{16}{3} = 5.\bar{3}$

Q 5 - Convert $\mathbf {\frac{19}{6}}$ into a decimal. If necessary, use a bar to indicate which digit or group of digits repeats.

Answer : C

Explanation

Step 1:

Using long division, $\frac{19}{6} = 3.1666...$

Step 2:

Putting a bar over repeating 6, we get $3.1666... = 3.1\bar{6}$

Step 3:

So, $\frac{19}{6} = 3.1\bar{6}$

Q 6 - Convert $\mathbf {\frac{23}{3}}$ into a decimal. If necessary, use a bar to indicate which digit or group of digits repeats.

Answer : D

Explanation

Step 1:

Using long division, $\frac{23}{3} = 7.666...$

Step 2:

Putting a bar over repeating 6, we get $7.666... = 7.\bar{6}$

Step 3:

So, $\frac{23}{3} = 7.\bar{6}$

Q 7 - Convert $\mathbf {\frac{29}{6}}$ into a decimal. If necessary, use a bar to indicate which digit or group of digits repeats.

Answer : A

Explanation

Step 1:

Using long division, $\frac{29}{6} = 4.8333...$

Step 2:

Putting a bar over repeating 6, we get $4.8333... = 4.8\bar{3}$

Step 3:

So, $\frac{29}{6} = 4.8\bar{3}$

Q 8 - Convert $\mathbf {\frac{25}{9}}$ into a decimal. If necessary, use a bar to indicate which digit or group of digits repeats.

Answer : B

Explanation

Step 1:

Using long division, $\frac{25}{9} = 2.777...$

Step 2:

Putting a bar over repeating 3, we get $2.777... = 2.\bar{7}$

Step 3:

So, $\frac{25}{9} = 2.\bar{7}$

Q 9 - Convert $\mathbf {\frac{29}{3}}$ into a decimal. If necessary, use a bar to indicate which digit or group of digits repeats.

Answer : D

Explanation

Step 1:

Using long division, $\frac{29}{3} = 9.666....$

Step 2:

Putting a bar over repeating 3, we get $9.666... = 9.\bar{6}$

Step 3:

So, $\frac{29}{3} = 9.\bar{6}$

Q 10 - Convert $\mathbf {\frac{35}{6}}$ into a decimal. If necessary, use a bar to indicate which digit or group of digits repeats.

Answer : A

Explanation

Step 1:

Using long division, $\frac{35}{6} = 5.8333...$

Step 2:

Putting a bar over repeating 3, we get $5.8333.... = 5.8\bar{3}$

Step 3:

So, $\frac{35}{6} = 5.8\bar{3}$

converting_fraction_to_repeating_decimal_advanced.htm