**Problem 1 :**

The product of two rational numbers is 2/9. If one of the number is 1/2, find the other rational number.

**Solution :**

Product of two rational numbers = 2/9

One rational number = 1/2

Given number x required number = 2/9

(1/2) x required number = 2/9

required number/2 = 2/9

Multiplying by 2 on both sides

2 x (required number/2) = (2/9) x 2

required number = 4/9

**Problem 2 :**

The product of two rational numbers is 6. If one of the number is 14/3, find the other number.

**Solution :**

Product of two rational numbers = 6

One rational number = 14/3

Given number x required number = 6

(14/3) x required number = 6

(14 x required number)/3 = 6

Multiply by 3 on both sides

[(14 x required number)/3] x 3 = 6 x 3

14 required number = 18

Divide by 14 on both sides

14 required number /14 = 18/14

required number = 9/7

**Problem 3 :**

What number should be multiply 7/2 to get 21/4 ?

**Solution :**

Required number x (7/2) = 21/4

(7 x required number) /2 = 21/4

Multiply 2 on both sides

7 x required number = (21/4) x 2

= 21/2

Divide by 7 on both sides

required number = (21/2) x (1/7)

required number = 3/2

**Problem 4 :**

John reads 1/3 part of a book in 1 hour. How much part of the book will he read in 2 1/5 hours?

**Solution :**

The part of the book read by John in 1 hour = 1/3

So, the part of the book read by him in 2 1/5 hours

= 2 1/5 x (1/3)

= (11/5) x (1/3)

= 11/15

**Problem 5 :**

Suzy plants 4 saplings, in a row, in her garden. The distance between two adjacent saplings is 3/4 m. Find the distance between the first and the last sapling.

**Solution :**

**Number of saplings in a garden = 4 **

**The distance between two adjacent saplings = 3/4 m**

**T****he distance between the first and the last sapling **

**= 4 x (3/4) m**

** = 3 m**

**Problem 6 :**

Lipika reads a book for 1 3/4 hours every day. She reads the entire book in 6 days. How many hours in all were required by her to read the book?

**Solution :**

Time taken by Lipika for reading a book in one day

= 1 3/4

Converting the mixed fraction into improper fraction, we get 7/4

Number of days taken by Lipika to read the entire book

= 6

Total number of hours taken by her to complete the entire book = 6 x (7/4) = 21/4

= 10 1/2 hours.

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

If you have any feedback about our math content, please mail us :

**v4formath@gmail.com**

We always appreciate your feedback.

You can also visit the 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**

**Trigonometry 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**

**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**