HOW TO CONVERT FRACTION TO PERCENT

Convert the following fraction into percentage.

Problem 2 :

  5/8

Solution :

= 5/8

First divide the numerator by the denominators.

= 0.625

Then multiply the decimal by 100%.

= 0.625 × 100%

= 62.5%

So, the fractions 5/8 is equivalent to 62.5%.

Problem 3 :

  6  4/5

Solution :

= 6  4/5

Mixed fractions is convert to the improper fractions.

= 34/5

First divide the numerator by the denominators.

= 6.8

Then multiply the decimal by 100%.

= 6.8 × 100%

= 680%

So, the fractions 6  4/5 is equivalent to 680%.

Problem 4 :

11/12

Solution :

11/12

First divide the numerator by the denominators.

= 0.92

Then multiply the decimal by 100%.

= 0.92 × 100%

= 92 %

So, the fractions 11/12 is equivalent to 92 %.

Problem 5 :

9/8

Solution :

= 9/8

First divide the numerator by the denominators.

= 1.125

Then multiply the decimal by 100%.

= 1.125 × 100%

= 112.5 %

So, the fractions 9/8 is equivalent to 112.5 %.

Problem 6 :

5  1/4

Solution :

= 5  1/4

Mixed fractions is convert to the improper fractions.

= 21/4

First divide the numerator by the denominators.

= 5.25

Then multiply the decimal by 100%.

= 5.25 × 100%

= 525 %

So, the fractions 5  1/4 is equivalent to 525 %.

Problem 7 :

2  2/3

Solution :

= 2  2/3

 Mixed fractions is convert to the improper fractions.

= 8/3

First divide the numerator by the denominators.

= 2.7

Then multiply the decimal by 100%.

= 2.7 × 100%

= 270 %

So, the fractions 2  2/3 is equivalent to 270 %.

Problem 8 :

5/12

Solution :

= 5/12

First divide the numerator by the denominators.

= 0.42

Then multiply the decimal by 100%.

= 0.42 × 100%

= 42 %

So, the fractions 5/12  is equivalent to 42 %. 

Problem 9 :

1  2/3

Solution :

 = 1  2/3

Mixed fractions is convert to the improper fractions.

= 5/3

First divide the numerator by the denominators.

= 1.7

Then multiply the decimal by 100%.

= 1.7 × 100%

= 170 %

So, the fractions 1  2/3 is equivalent to 170 %.

Problem 10 :

5/9

Solution :

= 5/9

First divide the numerator by the denominators.

= 0.56

Then multiply the decimal by 100%.

= 0.56 × 100%

= 56%

So, the fractions 5/9 is equivalent to 56%.

Problem 11 :

There are 20 apples on a tree. 3 of the apples are bad. What percentage of the apples are bad ?

Solution :

Total number of apples on a tree = 3

Number of apples which are bad = 3

Percentage of apples which are bad = (3/20) x 100%

= 3 x 5%

= 15 %

So, percentage of apples which are bad is 15%.

Problem 12 :

James sat an English test. He scored 39 out of 50. What percentage did he get right ?

Solution :

Mark scored by James in English = 39

Total marks = 50

Percentage of marks in English = (39/50) x 100%

= 39 x 2% 

= 78%

So, James has received 78% in English.

Problem 13 :

Helen takes 25 shots at basketball training. She misses 7 shots. What percentage of the shots did Helen miss?

Solution :

Number of shorts Helen takes = 25

Number of shots he misses = 7

Percentage of shots he misses = (7/25) x 100%

= 7 x 4%

= 28%

So, Helen missed 28%.

Problem 14 :

There are 40 passengers on a bus. 14 passengers are going to Newport. What percentage of the passengers are going to Newport ?

Solution :

Total number of passengers in the bus = 40

Number of passengers going to Newport = 14

Percentage of passengers who are going to Newport = (14/40) x 100%

= 0.35 x 100%

= 35%

Problem 15 :

Randalstown Rugby Club play 8 matches and win 7 of the matches. What percentage of the matches did Randalstown win?

Solution :

Total number of matches = 8

Number of matches he wins = 7

Percentage of matches Randalstown win = (7/8) x 100%

= 0.875 x 100%

= 87.5%

Percentage of matches Randalstown win is 87.5%

Problem 16 :

Freddy sits a physics test. He gets 38 out of 40 correct. What percentage did he get right?

Solution :

Total marks = 40

Marks he gets right = 38

Percentage of marks he gets right = (38/40) x 100%

= 0.95 x 100%

= 95%

Percentage of marks he gets correct is 95%.

Problem 17 :

There are 500 students at a school. 141 of the students study Spanish. What percentage of the students study Spanish ?

Solution :

Total number of students = 500

Number of students who study Spanish = 141

Percentage of students who study Spanish = (141/500) x 100%

= 0.282 x 100%

= 28.2%

So, the percentage of students who study Spanish is 28.2%

Problem 18 :

There are 30 students in a class. 4 of the students are left handed. What percentage of the students are right handed?

Solution :

Total number of students in the class = 30

Number of students who are left handed = 4

Percentage of students who are left handed = (4/30) x 100%

= 0.1333.... x 100%

= 13.33 %

Problem 19 :

The percent of the area of the United States that is in each of four states is shown

Write the percents as fractions in simplest form.

Solution :

a)

i) Percentage of area of Alaska in US = 17.5%

= 17.5/100

Multiplying the numerator and denominator by 10, we get

= 175 / 1000

Simplifying the fraction, we get

= 7/40

ii)  Percentage of area of Florida in US = 1.7%

= 1.7/100

Multiplying the numerator and denominator by 10, we get

= 170 / 1000

iii)  Percentage of area of Hawaii in US = 0.288%

= 0.288/100

Multiplying the numerator and denominator by 1000, we get

= 288/100000

= 9/3125

iv)  Percentage of area of lllinois in US = 1.5%

= 1.5/100

Multiplying both numerator and denominator by 10, we get

= 15/1000

= 3/200