FINDING FRACTIONAL PART OF A NUMBER WORD PROBLEMS

Problem 1 :

Alexander the Great’s Empire : Alexander the Great conquered a vast empire spanning 1,000,000 square miles. If 3/8 of his empire was in Asia and the rest was in Europe, how many square miles was his empire in Europe ?

Solution :

A vast empire spanning = 1,000,000 square miles

Empire was in Asia = 3/8

Rest was in Europe = ?

Empire state as quantity of land in Asia = (1 - 3/8)

= 1,000,000 × 0.625

= 625000 

So, 625000 square miles was his empire in Europe.

Problem 2 :

Amelia Earhart's Flights : Amelia Earhart completed 15 long - distance flights during her aviation career. If 3/5 of her flights were solo flights and the rest were with a co - pilot, how many flights did she complete with  co - pilot ?

Solution :

Number of flights = 15 long distance flights

Solo flights = 3/5

Rest were with a co - pilot = ?

= 1 - 3/5

Total number of flights = Number of flights  × co - pilot

= 3 × 2

= 6

So, she has completed with 6 co - pilot.

Problem 3 :

Albert Einstein's Theories : Albert Einstein proposed 8 revolutionary theories during his lifetime. If 2/3 of his theories were in the field of physics and the rest were in mathematics, how many theories did he propose in mathematics ?

Solution :

Revolutionary theories = 8

Field of physics = 2/3

Rest were in mathematics = ?

= 8 × 1/3

= 8/3

So, he has proposed 8/3 theories.

Problem 4 :

Cleopatra's Army : Cleopatra commanded an army of 1,000 soldiers. If 3/4 of her army were foot soldiers and the rest were archers, how many archers did she have ?

Solution :

Number of soldiers = 1000

Foot soldiers = 3/4

Rest were archers = ?

Total archers = 1000 × 1/4

= 250

Hence she have 250 archers.

Problem 5 :

George Washington's Troops : During the Revolutionary War, George Washington had a total of 10,000 troops. If 3/5 of his troops were regular soldiers and the rest were militia, how many militia soldiers did he have ?

Solution :

Total number of troops = 10,000

Regular soldiers = 3/5

Rest were militia = ?

Number of militia = 1 - 3/5

Number of militia soldiers = Total number of troops  × Number of militia 

= 10,000 × 2/5

= 4000

So, number of militia soldiers is 4000.

Problem 6 :

Joan of Arc's Army : Joan of Arc led an army of 5,000 soldiers. If 2/3 of her army were cavalry and the rest were infantry, how many infantry soldiers did she have ? 

Solution :

Number of soldiers = 5000

Cavalry = 2/3

infantry = ?

= 1 - 2/3

= 5000 × 1/3

= 1666.67

So, number of  infantry soldiers.is 1667.

Problem 7 :

Leonardo da Vinci's Sketches : Leonardo da Vinci made a collection of 100 sketches. If 1/5 of his sketches were portraits and 2/5 were inventions, how many sketches were neither portraits nor inventions ?

Solution :

Number of sketches = 100

Portraits = 1/5

Inventions = 2/5

Sketches were neither portraits nor inventions = (1 - 1/5 - 2/5)

= 100  × 2/5

= 40

Hence, 40  sketches were neither portraits nor inventions.

Problem 8 :

Marie Curie's Discoveries : Marie Curie made 20 groundbreaking discoveries throughout her career. If 3/4 of her discoveries were in the field of radioactivity, how many discoveries were not related to radioactivity ? 

Solution :

Marie Curie made in groundbreaking discoveries = 20

Field of radioactivity = 3/4

Not related to radioactivity = 1 - 3/4

= 20 × 1/4

= 5

So, 5 discoveries were not related to radioactivity.

Problem 9 :

Martin Luther King Jr.'s Speech : Martin Luther King Jr. delivered a speech that lasted 25 minutes. If 1/5 of the speech was dedicated to a specific section, how long was that section ?

Solution :

He is delivered a speech that lasted = 25 minutes

Speech was dedicated to a specific section = 1/5

Length of the section = 25  × 1/5

= 5

Problem 10 :

Helen Keller's Autobiography : Helen Keller wrote an Autobiography that had 120 pages. If 2/5 of the pages were dedicated to her childhood, how many pages were about her childhood ?

Solution :

Number of pages = 120

She was dedicated pages to childhood = 2/5

= 24 × 2

= 48 

Hence, 48 pages were about her childhood.