Fractions

In this Blog I will help you understand the concept of Fractions and also we we see how to solve the fractions.Fraction is an equal part of one whole object.The most common question is how do you denote a fraction???Fraction can be represented as " p/q " where 'p' denotes the value called numerator and 'q' denotes the value called denominator and q not equal to zero.

Introduction to fraction:

A fraction is a number that can represent part of a whole. The earliest fractions were reciprocals of integers: ancient symbols representing one part of two, one part of three, one part of four, and so on. A much later development were the common or "vulgar" fractions which are still used today (½, ⅝, ¾, etc.) and which consist of a numerator and a denominator.

In this Blog we are going to see how to change 385 to fraction and 385 into decimal,what is mean by improper fraction and some other examples based on fraction.

385 to Fraction:

385 to Fraction:

In this Blog we are going to see how to convert 385 to fraction and what is mean by improper fraction and how to convert 385 into decimal.Let us now solve few problems related to Fractions to understand the concept even better.

Problem 1:

Convert 385 to fraction.

Solution:

Given integer 385.

To convert the 385 to fraction we need to multiply and divide by the same number.We get only the improper fraction.

Improper fraction:

If [a/b] is improper fraction means, b < 10 =" [3850"> 38.5 × 10

(ii) 385 × (100/100)

=> 3.85 × 100

=> 3.85 × 102

(iii) 385 × (1000/1000)

=> 0.385 × 1000

=> 0.385 × 103

Problems on Fraction:

Problem1:

Add two fraction [3/4] and [2/5]

Solution:

Given , [3/4] and [2/5]

= [3/4] + [2/5]

To add fraction ,we need common denominator,

To make a common denominator , multiply 3/4 by 5 on both numerator and denominator and multiply 2/5 by 4 on both numerator and denominator.

= [3/4] × [5/5] + [2/5] × [4/4]

= [15/20 ] + [8/20]

= [(15+8) / 20]

= [23 /20]

Answer: [3/4] + [2/5] = [23 /20]

Problem 2:

Multiply the fractions 5/6 and 2/8

Solution:

Given, [5/6] and [2/8]

= [ 5/6] × [2/8]

= [ ((5)(2)) / ((6)(8))]

= [10/48]

= [5 / 24]

Answer: [5 / 24]

Problem 3:

[Divide the fraction 16/25 by 10/24]

Solution:

Given, [16/25] ÷ [10 /24]

We can divide by,

(i) Take the reciprocal for [10/24]

(ii) Multiply it with [16/25]

[16/25] ÷ [10 /24] = [16 /25] × [ 24 /10]

= [((16)(24)) / (( 25)(10))]

= [ 384 / 250 ]

= [192 / 125]

Answer: [192 / 125]

Hope you like the above example of Fractions.Please leave your comments, if you have any doubts.