**Writing fractions as decimals and percents :**

We can write a fraction as an equivalent decimal or as an equivalent percent. Equivalent fractions, decimals, and percents all represent equal parts of the same whole.

**Example 1 :**

96 out of 200 animals treated by a veterinarian are horses.

Write 96/200 as a decimal and as a percent.

**Solution :**

**Step 1 :**

Write an equivalent fraction with a denominator of 100.

To write 96/200 as an equivalent fraction with a denominator 100, we have to divide 96 and 200 by 100.

96/200 = (96÷2) / (200÷2) = 48 / 100

**Step 2 :**

In 48/100, since the denominator is 100, 48/100 can be easily converted to decimal.

Because, if we divide a number by 100, in the result there should two digits after the decimal point.

(Because there are two zeros in 100)

So, we have

48 / 100 = 0.48

**Step 3 :**

Write the percent equivalent.

Percent means per hundred

That is, the given number is compared to hundred.

In 48 / 100, since 48 is compared to 100, we have

48 / 100 = 48%

**Example 2 :**

1/8 of the animals treated by the veterinarian are dogs.

Write 1/8 as a decimal.

**Solution :**

Notice that the denominator is not a factor or multiple of 100.

**Step 1 :**

Use long division to divide the numerator by the denominator.

The decimal equivalent of 1/8 is 0.125.

**Step 2 :**

Now, let us write the decimal as a percent.

First write the fraction equivalent of the decimal.

In 0.125, since there are three digits after the decimal point, we can write it as a fraction with denominator 1000.

So, we have

0.125 = 125 / 1000

**Step 3 :**

Write the percent equivalent.

Percent means per hundred

That is, the given number to be written as a fraction with denominator 100.

So, we have to write 125/1000 as an equivalent fraction with denominator 100,

For that, we have to divide 125 and 1000 by 10.

125/1000 = (125÷10) / (1000÷10)

125/1000 = 12.5 / 100

125/1000 = 12.5%

The percent equivalent of 1/8 is 12.5%.

After having gone through the stuff given above, we hope that the students would have understood "How to write fractions as decimals and percents".

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