Converting a Fraction to a Terminating Decimal Basic Online Quiz

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.