**Converting Between Percents Decimals and Fractions Worksheet Pdf :**

Worksheets on converting between fractions, decimals and percentages are much useful to the students who would like to practice problems on fractions , decimals and percentages.

Please click the following link to download worksheet on percents decimals and fractions.

1. Look at the number line given below and write the missing decimals and fractions.

2. Convert the given fraction into decimal.

7/25

3. Convert the given fraction into decimal.

3/8

4. Convert the given fraction into percentage.

17/5

5. Convert the percentage into mixed number.

340%

6. Convert the given mixed fractions into decimals.

2 3/5, 3 6/25, 3 1/25

7. Convert the given mixed fractions into decimal.

5 7/8

8. Convert the given decimals into percentages.

2.742, 0.2742, 0.0032, 0.032, 0.32

9. Convert the given percentages into fractions

45%, 36.2%

10. Convert the given percentages into fractions

36%, 27.5%

**Problem 1 :**

Look at the number line given below and write the missing decimals and fractions.

**Solution :**

**Problem 2 :**

Convert the given fraction into decimal.

7/25

**Solution :**

**In the given fraction, the denominator is 25 which is convertible to 100 using multiplication by 4.**

**Problem 3 :**

Convert the given fraction into decimal.

3/8

**Solution :**

**In the given fraction, the denominator is 8 which is not convertible to 10 or 100.**

**So the given fraction can be converted into decimal using long division.**

**Problem 4 :**

Convert the given fraction into percentage.

17/5

**Solution :**

To convert the given decimal into percentage, we have to check whether the denominator of the fraction can be converted into 100 using multiplication.

Here, the denominator of the given fraction is 5 which can be converted into 100 using multiplication by 2.

So, we have

**Problem 5 :**

Convert the percentage into mixed number.

340%

**Solution :**

To convert the given percentage into mixed number, first we have to convert the given percentage into improper fraction by taking 100 as denominator and simplify, if possible.

So, we have

340% = 340/100 = 17/5

Now, we can convert 17/5 as a mixed number as explained below.

**Problem 6 :**

Convert the given mixed fractions into decimals.

2 3/5, 3 6/25, 3 1/25

**Solution :**

**Problem 7 :**

Convert the given mixed fractions into decimal.

5 7/8

**Solution :**

To convert the given mixed number into decimal, we have to take the fraction part of the mixed number and check whether the denominator can be converted in to 10 or 100 using multiplication.

In the fraction part 7/8, the denominator is 8 which can not be converted in to 10 or 100 using multiplication.

So, we can convert 7/8 into decimal using long division.

**Problem 8 :**

Convert the given decimals into percentages.

2.742, 0.2742, 0.0032, 0.032, 0.32

**Solution :**

To convert a decimal into percentage, the given decimal has to be multiplied by 100. When we multiply the decimal by 100, we have to move the decimal point two digits to the right.

So, we have

**Problem 9 :**

Convert the given percentages into fractions

45%, 36.2%

**Solution :**

To convert a percentage into fraction, we have to divide the given number by 100.

Because, percentage means, the given number is compared to 100.

When we divide the given number by 100, we will get a fraction. And we have to simplify the fraction to its lowest term, if possible.

So, we have

**Problem 10 :**

Convert the given percentages into decimals

36%, 27.5%

**Solution :**

To convert a percentage into decimal, we have to move the decimal point two digits to the left.

So, we have

After having gone through the stuff given above, we hope that the students would have understood "Converting between percents decimals and fractions worksheet pdf".

Apart from the stuff given above, if you want to know more about "Converting between percents decimals and fractions worksheet pdf", please click here

Apart from the stuff given in this section, if you need any other stuff 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**

**Time and work 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**

**Sum of all three four digit numbers formed using 0, 1, 2, 3**

**Sum of all three four digit numbers formed using 1, 2, 5, 6**

Widget is loading comments...