COMPARE TO FRACTIONS AND DECIMALS

Compare Percents to Fractions and Decimals :

In this section, we will learn, how to compare percents to fractions and decimals.

Compare Percents to Fractions - Steps

Step 1 :

Write the given percentage as fraction.

For example, if it is 15% then write it as 15/100.

Step 2 :

Convert the denominator of the given fraction as 100 using multiplication.

So that, on either sides we will have fractions with same denominators.

Step 3 :

Now we can easily compare the numerators and decide which number is greater and which number is smaller.

Note :

If it is not possible to convert the denominator of the given fraction into 100 using multiplication, better convert both percent and fraction into decimal and compare.

Compare Percents to Decimals - Steps

Step 1 :

Write the given percentage as fraction. That is, if we have 15% then write it as 15/100.

Step 2 :

Multiply and divide the given decimal by 100.

So that, on either sides we will have fractions with same denominators.

Step 3 :

Now we can easily compare the numerators and decide which number is greater and which number is smaller.

Compare Percents to Fractions and Decimals - Examples

Example 1 :

Which of the following signs makes the statement true ?

< ,  > ,  = Solution :

We can write 20% as shown below.

20 / 100 -----(1)

Multiply both numerator and denominator of the fraction 1/2 by 50 as shown below.

(1 / 2)  (50 / 50)  =  50 / 100 -----(2)

In fractions (1) and (2), the denominators are same.

Now, we can compare the numerators.

20 is lesser than 50

So, 20% is lesser than 1/2. Example 2 :

Which sign makes the statement true?

< ,  > ,  = Solution :

Here, both the quantities are percents.

So, we can easily compare them.

65% is greater than 62% Example 3 :

Which sign makes the statement true?

< ,  > ,  = Solution :

We can write 7% as shown below.

7 / 100 -----(1)

Multiply both numerator and the denominator of the fraction 1/4 by 25 as shown below.

(1 / 4)  (25 / 25)  =  25 / 100 -----(2)

In fractions (1) and (2), the denominators are same.

Now, we can compare the numerators.

7 is lesser than 25

So, 7% is lesser than 1/4. Example 4 :

Which sign makes the statement true?

< ,  > ,  = Solution :

In the fraction 79/100, already the denominator is 100.

So, we have nothing more to do in the fraction 79/100.

79 / 100 -----(1)

We can write 79% as shown below.

79 / 100 -----(2)

In fractions (1) and (2), both the numerators and denominators are same.

So, 79/100 and 79% are equal. Example 5 :

Which sign makes the statement true?

< ,  > ,  = Solution :

We can write 3% as shown below.

3 / 100 -----(1)

Multiply and divide the decimal 0.07 by 100 as shown below.

0.07  (100 / 100)  =  7 / 100 -----(2)

In fractions (1) and (2), the denominators are same.

Now, we can compare the numerators.

3 is lesser than 7

So, 3% is lesser than 0.07  After having gone through the stuff given above, we hope that the students would have understood, how to compare percents to fractions and decimals.

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

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

Algebra word problems

Word problems on trains

Area and perimeter word problems

Word problems on direct variation and inverse variation

Word problems on unit price

Word problems on unit rate

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

Double facts word problems

Trigonometry word problems

Percentage word problems

Profit and loss word problems

Markup and markdown word problems

Decimal word problems

Word problems on fractions

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

Word problems on ages

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

Profit and loss shortcuts

Percentage shortcuts

Times table shortcuts

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

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 