Fraction Matcher

Overview

Read in a list of Fraction objects, prompt the user for floating-point numbers, and print the closest Fraction matches.

Fraction Class

Use the code from yourprevious programsas a starting point:FractionReader.javaandFraction.java.

Interface

Have Fraction implement theComparableinterface. You will need to implementcompareTo.

compareTo

Returns a negative value if this Fraction'sfloating-point equivalentis smaller than the parameter's, zero if they are equal, and a positive value if this is larger.compareToreturns aninteger.

Constructor

The Fraction constructor should accept 2 integers: numerator and denominator. Initialize your instance variables with those values.

toString

Return a String representingnumerator/denominator.

Additional Methods

Create any other methods you need.

FractionMatcher Class

Themainmethod should be in theFractionMatcherclass. Create any additional methods you wish.

1. Read in a list of fractions from the filefractions.txt.
2. Sort the Fraction objects (UsingCollections).
3. Prompt the user for floating-point values (until zerois entered).
4. For each value, print theFractionthat is theclosestto the value and its decimal equivalent in parentheses.

Finding the Closest

I recommend you create a constantTINY = .000001to assist with floating-point comparison. There are 3 main cases:

1. The providedvalue is less than or equal tothefirstFraction (value + TINY =>returnthefirstFraction.
2. The providedvalue is greater than or equal tothelastFraction (value - TINY >= last fraction in the list):returnthelastFraction.
3. The providedvalueisbetween2 values. Find the 2 fractions the value is between, and return the fraction with thesmaller difference. (absolute value of (input - first fraction's value)compared toabsolute value of (input - second fraction's value)).

Fraction.txt

1/15

13/16

7/16

15/16

4/13

7/10

1/12

7/11

2/5

3/13

3/8

2/15

13/15

12/13

4/5

11/13

3/7

2/11

1/2

3/4

5/7

3/14

8/9

5/12

3/16

3/5

5/8

8/15

8/11

9/13

4/9

1/4

1/7

3/10

11/12

9/10

7/13

1/8

5/9

7/15

1/9

4/15

3/11

5/13

1/3

1/16

11/14

2/9

1/6

9/11

7/8

8/13

5/11

7/9

1/5

14/15

5/16

11/15

6/11

9/14

7/12

1/11

1/10

10/13

5/14

2/13

4/11

6/13

9/16

6/7

1/1

4/7

2/7

13/14

1/14

5/6

10/11

1/13

2/3

11/16