Reciprocal fractions worksheet for math practice.

Let's solve the problem step by step.

Understanding the Task

The task is to write the reciprocals of the given fractions.

The reciprocal of a fraction is obtained by flipping the numerator and the denominator. For example:
- The reciprocal of $ \frac{a}{b} $ is $ \frac{b}{a} $.
- For a whole number like 12, we can write it as $ \frac{12}{1} $, so its reciprocal is $ \frac{1}{12} $.
- The reciprocal of 1 is $ \frac{1}{1} = 1 $.

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Now, let’s go through each problem:

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Solutions:

1) $ \frac{5}{12} $ → $ \frac{12}{5} $

2) $ \frac{14}{36} $ → $ \frac{36}{14} $ → Simplify: $ \frac{18}{7} $
*(Note: You can simplify if needed, but unless asked, just flipping is fine.)*

3) $ \frac{21}{196} $ → $ \frac{196}{21} $

4) $ \frac{12}{45} $ → $ \frac{45}{12} $ → Simplify: $ \frac{15}{4} $

5) $ 8 $ → $ \frac{8}{1} $ → $ \frac{1}{8} $

6) $ \frac{43}{155} $ → $ \frac{155}{43} $

7) $ \frac{13}{25} $ → $ \frac{25}{13} $

8) $ \frac{19}{108} $ → $ \frac{108}{19} $

9) $ \frac{51}{109} $ → $ \frac{109}{51} $

10) $ \frac{8}{15} $ → $ \frac{15}{8} $

11) $ \frac{25}{105} $ → $ \frac{105}{25} $ → Simplify: $ \frac{21}{5} $

12) $ 63 $ → $ \frac{63}{1} $ → $ \frac{1}{63} $

13) $ \frac{17}{55} $ → $ \frac{55}{17} $

14) $ \frac{125}{180} $ → $ \frac{180}{125} $ → Simplify: $ \frac{36}{25} $

15) $ \frac{18}{23} $ → $ \frac{23}{18} $

16) $ \frac{9}{63} $ → $ \frac{63}{9} $ → Simplify: $ \frac{7}{1} = 7 $

17) $ \frac{63}{96} $ → $ \frac{96}{63} $ → Simplify: $ \frac{32}{21} $

18) $ \frac{36}{255} $ → $ \frac{255}{36} $ → Simplify: $ \frac{85}{12} $

19) $ 12 $ → $ \frac{1}{12} $

20) $ \frac{17}{108} $ → $ \frac{108}{17} $

21) $ 1 $ → $ \frac{1}{1} = 1 $

22) $ \frac{36}{95} $ → $ \frac{95}{36} $

23) $ \frac{18}{96} $ → $ \frac{96}{18} $ → Simplify: $ \frac{16}{3} $

24) $ \frac{41}{208} $ → $ \frac{208}{41} $

25) $ \frac{8}{17} $ → $ \frac{17}{8} $

26) $ \frac{14}{109} $ → $ \frac{109}{14} $

27) $ \frac{17}{123} $ → $ \frac{123}{17} $

28) $ 5 $ → $ \frac{1}{5} $

29) $ \frac{96}{255} $ → $ \frac{255}{96} $ → Simplify: $ \frac{85}{32} $

30) $ \frac{36}{48} $ → $ \frac{48}{36} $ → Simplify: $ \frac{4}{3} $

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✔ Final Answers (Reciprocals):

1) $ \frac{12}{5} $
2) $ \frac{36}{14} $ or $ \frac{18}{7} $
3) $ \frac{196}{21} $
4) $ \frac{45}{12} $ or $ \frac{15}{4} $
5) $ \frac{1}{8} $
6) $ \frac{155}{43} $
7) $ \frac{25}{13} $
8) $ \frac{108}{19} $
9) $ \frac{109}{51} $
10) $ \frac{15}{8} $
11) $ \frac{105}{25} $ or $ \frac{21}{5} $
12) $ \frac{1}{63} $
13) $ \frac{55}{17} $
14) $ \frac{180}{125} $ or $ \frac{36}{25} $
15) $ \frac{23}{18} $
16) $ \frac{63}{9} $ or $ 7 $
17) $ \frac{96}{63} $ or $ \frac{32}{21} $
18) $ \frac{255}{36} $ or $ \frac{85}{12} $
19) $ \frac{1}{12} $
20) $ \frac{108}{17} $
21) $ 1 $
22) $ \frac{95}{36} $
23) $ \frac{96}{18} $ or $ \frac{16}{3} $
24) $ \frac{208}{41} $
25) $ \frac{17}{8} $
26) $ \frac{109}{14} $
27) $ \frac{123}{17} $
28) $ \frac{1}{5} $
29) $ \frac{255}{96} $ or $ \frac{85}{32} $
30) $ \frac{48}{36} $ or $ \frac{4}{3} $

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✔ Tips:

- Always flip numerator and denominator.
- Simplify only if required (but simplifying often helps).
- Whole numbers become $ \frac{1}{\text{number}} $.
- Reciprocal of 1 is 1.

Let me know if you'd like this in a printable format or with steps for each!