Questions: What is the reciprocal of 0.20 and 5^2 / 3 ?
A 5 and 3 / 17
B 2 and 3 / 17
C 5 and 17 / 3
D 5 and 3 / 10
Transcript text: 14 What is the reciprocal of 0.20 and $5^{2} / 3$ ?
A $\quad 5$ and ${ }^{3} / 17$
B $\quad 2$ and $^{3} / 17$
C $\quad 5$ and ${ }^{17} / 3$
D $\quad 5$ and $^{3} / 10$
Solution
Solution Steps
Step 1: Understanding the Problem
The problem asks for the reciprocal of two numbers: 0.20 and 532. We need to find the reciprocal of each number and then match our results with the given multiple-choice options.
Step 2: Finding the Reciprocal of 0.20
The reciprocal of a number x is x1. For 0.20, the reciprocal is:
0.201=511=5
Step 3: Finding the Reciprocal of 532
First, convert the mixed number 532 to an improper fraction:
532=35×3+2=315+2=317
The reciprocal of 317 is:
3171=173
Final Answer
The reciprocals are 5 and 173. Therefore, the correct answer is: