**Writing Fractions as Decimals and Percents :**

In this section, we will learn, how to write a fraction as a decimal and a percent.

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)

96 / 200 = 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 a fraction as decimal and a percent.

Apart from the stuff given in this section, if you need any other tuff in math, please use our google custom search here.

Widget is loading comments...

You can also visit our following web pages on different stuff in math.

**WORD PROBLEMS**

**Word problems on simple equations **

**Word problems on linear equations **

**Word problems on quadratic equations**

**Area and perimeter word problems**

**Word problems on direct variation and inverse variation **

**Word problems on comparing rates**

**Converting customary units word problems **

**Converting metric units word problems**

**Word problems on simple interest**

**Word problems on compound interest**

**Word problems on types of angles **

**Complementary and supplementary angles word problems**

**Markup and markdown word problems **

**Word problems on mixed fractrions**

**One step equation word problems**

**Linear inequalities word problems**

**Ratio and proportion word problems**

**Word problems on sets and venn diagrams**

**Pythagorean theorem word problems**

**Percent of a number word problems**

**Word problems on constant speed**

**Word problems on average speed **

**Word problems on sum of the angles of a triangle is 180 degree**

**OTHER TOPICS **

**Time, speed and distance shortcuts**

**Ratio and proportion shortcuts**

**Domain and range of rational functions**

**Domain and range of rational functions with holes**

**Graphing rational functions with holes**

**Converting repeating decimals in to fractions**

**Decimal representation of rational numbers**

**Finding square root using long division**

**L.C.M method to solve time and work problems**

**Translating the word problems in to algebraic expressions**

**Remainder when 2 power 256 is divided by 17**

**Remainder when 17 power 23 is divided by 16**

**Sum of all three digit numbers divisible by 6**

**Sum of all three digit numbers divisible by 7**

**Sum of all three digit numbers divisible by 8**

**Sum of all three digit numbers formed using 1, 3, 4**

**Sum of all three four digit numbers formed with non zero digits**