CONVERT DECIMALS TO FRACTIONS AND PERCENTAGES

Convert the following to fractions and percentage.

Example 1 :

1.35

Solution :

Converting decimal to fraction :

We see two digits after the decimal, so we will multiply and divide it by 100.

1.35 x (100/100) = 135/100

Dividing both numerator and denominator by 5.

= 27/20

So, fractional form of 1.35 is 27/20.

Converting decimal to percentage :

= 1.35 x 100%

100 is having two zeroes, so move the decimal two digits to the right.

= 135%

So, percentage form of 1.35 is 135%.

Example 2 :

0.01

Solution :

Converting decimal to fraction :

We see two digits after the decimal, so we will multiply and divide it by 100.

0.01 x (100/100) = 1/100

It cannot be simplified further.

So, fractional form of 0.01 is 1/100.

Converting decimal to percentage :

= 0.01 x 100%

100 is having two zeroes, so move the decimal two digits to the right.

= 1%

So, percentage form of 0.01 is 1%.

Example 3 :

2.254

Solution :

Converting decimal to fraction :

We see three digits after the decimal, so we will multiply and divide it by 1000.

2.254 x (1000/1000) = 2254/1000

Dividing both numerator and denominator by 2.

= 1127/500

So, fractional form of 2.254 is 1127/500.

Converting decimal to percentage :

= 2.254 x 100%

100 is having two zeroes, so move the decimal two digits to the right.

= 225.4%

So, percentage form of 2254 is 225.4%.

Example 4 :

2.2

Solution :

Converting decimal to fraction :

We see one digit after the decimal, so we will multiply and divide it by 10.

2.2 x (10/10) = 22/10

Dividing both numerator and denominator by 2.

= 11/5

So, fractional form of 2.2 is 11/5.

Converting decimal to percentage :

= 2.2 x 100%

100 is having two zeroes, so move the decimal two digits to the right.

= 220%

So, percentage form of 2.2 is 220%.

Example 5 :

0.0625

Solution :

Converting decimal to fraction :

We see four digits after the decimal, so we will multiply and divide it by 10000.

0.0625 x (10000/10000) = 625/10000

Simplifying both numerator and denominator, we get

= 1/16

So, fractional form of 0.0625 is 1/16.

Converting decimal to percentage :

= 0.0625 x 100%

100 is having two zeroes, so move the decimal two digits to the right.

= 6.25%

So, percentage form of 0.0625 is 6.25%.

Example 6 :

Which is greater 3/20 or 16% ?

Solution :

To compare these two quantitites, we have to make it as same unit.

Converting the fraction 3/20 as decimal :

To make the denominator of 3/20 as 100, we have to multiply the numerator and denominator by 5.

= 3/20 x 5/5

= 15/100

So, the decimal form is 0.15

Converting percentage 16% as decimal :

= 16/100

= 0.16

Comparing these two decimals 0.15 and 0.16, 0.16 is greater. Then 16% is greater than 3/20.

Example 7 :

You, your sister, and a friend each take the same number of shots at a soccer goal. You make 72% of your shots, your sister makes 19/25 of her shots, and your friend makes 0.67 of his shots. Who made the fewest shots?

Solution :

Shots you make = 72%

Shots your sister make = 19/25

Shots your friend make = 0.67

Converting the percentage and fraction as decimal,

72% = 72/100 ==> 0.72

19/25 = (19/25) x 4/4 

= (19 x 4) / 100

= 76/100

= 0.76

Comparing the decimals 0.72, 0.76 and 0.67 and arranging from least to greatest.

0.67, 0.72, 0.76

Arranging the members from least shots to greatest :

Your friend, you make, your sister

Example 8 :

The table shows the results of 8 teams competing in a scavenger hunt. Which team collected the most items? Which team collected the fewest items?

Solution :

• Team 4 is collected more number of items.
• Team 5 is collected less number of items.

Example 10 :

Quarterback completed 68% of his passes in a game. He threw 25 passes. How many passes did the quarterback complete?

Solution :

Total number of passes = 25

Number of quarterback completed = 68% of 25

= 68/100 x 25

= 17

So, 17 quarterback has completed.