Converting a Fraction to a Terminating Decimal Basic Online Quiz

Following quiz provides Multiple Choice Questions (MCQs) related to Converting a Fraction to a Terminating Decimal Basic. You will have to read all the given answers and click over the correct answer. If you are not sure about the answer then you can check the answer using Show Answer button. You can use Next Quiz button to check new set of questions in the quiz.

Q 1 - Convert $\mathbf {\frac{3}{25}}$ into a decimal.

Answer : C

Explanation

Step 1:

We write an equivalent fraction of $\frac{3}{25}$ with a denominator 100.

$\frac{3}{25} = \frac{\left ( 3 \times 4 \right )}{\left ( 25 \times 4 \right )} = \frac{12}{100}$

Step 2:

Shifting the decimal one place to the left we get $\frac{12}{100} = 0.12$

Step 3:

So, $\frac{3}{25} = 0.12$, a terminating decimal.

Q 2 - Convert $\mathbf {\frac{5}{16}}$ into a decimal.

Answer : D

Explanation

Step 1:

By long division of $\frac{5}{16}$, we get $\frac{5}{16} = 0.3125$

Step 2:

So, $\frac{5}{16} = 0.3125$, a terminating decimal.

Q 3 - Convert $\mathbf {\frac{7}{32}}$ into a decimal.

Answer : A

Explanation

Step 1:

By long division of $\frac{7}{32}$, we get $\frac{7}{32} = 0.21875$

Step 2:

So, $\frac{7}{32} = 0.21875$, a terminating decimal.

Q 4 - Convert $\mathbf {\frac{5}{64}}$ into a decimal.

Answer : B

Explanation

Step 1:

By long division of $\frac{5}{64}$, we get $\frac{5}{64} = 0.078125$

Step 2:

So, $\frac{5}{64} = 0.078125$, a terminating decimal.

Q 5 - Convert $\mathbf {\frac{7}{16}}$ into a decimal.

Answer : C

Explanation

Step 1:

By long division of $\frac{7}{16}$, we get $\frac{7}{16} = 0.4375$

Step 2:

So, $\frac{7}{16} = 0.4375$, a terminating decimal.

Q 6 - Convert $\mathbf {\frac{9}{32}}$ into a decimal.

Answer : A

Explanation

Step 1:

By long division of $\frac{9}{32}$, we get $\frac{9}{32} = 0.28125$

Step 2:

So, $\frac{9}{32} = 0.28125$, a terminating decimal.

Q 7 - Convert $\mathbf {\frac{7}{25}}$ into a decimal.

Answer : B

Explanation

Step 1:

We write an equivalent fraction of $\frac{7}{25}$ with a denominator 100.

$\frac{7}{25} = \frac{\left ( 7 \times 4 \right )}{\left ( 25 \times 4 \right )} = \frac{28}{100}$

Step 2:

Shifting the decimal two places to the left we get $\frac{28}{100} = 0.28$

Step 3:

So, $\frac{28}{100} = 0.28$, a terminating decimal.

Q 8 - Convert $\mathbf {\frac{9}{64}}$ into a decimal.

Answer : D

Explanation

Step 1:

By long division of $\frac{9}{64}$, we get $\frac{9}{64} = 0.140625$

Step 2:

So, $\frac{9}{64} = 0.140625$, a terminating decimal.

Q 9 - Convert $\mathbf {\frac{13}{16}}$ into a decimal.

Answer : A

Explanation

Step 1:

By long division of $\frac{13}{16}$, we get $\frac{13}{16} = 0.8125$

Step 2:

So, $\frac{13}{16} = 0.8125$, a terminating decimal.

Q 10 - Convert $\mathbf {\frac{15}{32}}$ into a decimal.

Answer : C

Explanation

Step 1:

By long division of $\frac{15}{32}$, we get $\frac{15}{32} = 0.46875$

Step 2:

So, $\frac{15}{32} = 0.46875$, a terminating decimal.

converting_fraction_to_terminating_decimal_basic.htm