Questions: What is the reciprocal of 3 4/5? A. 3 4/5 B. -3 4/5 C. -5/19 D. 5/19

What is the reciprocal of 3 4/5? A. 3 4/5 B. -3 4/5 C. -5/19 D. 5/19
Transcript text: What is the reciprocal of $3 \frac{4}{5} ?$ A. $3 \frac{4}{5}$ B. $-3 \frac{4}{5}$ C. $-\frac{5}{19}$ D. $\frac{5}{19}$
failed

Solution

failed
failed

Solution Steps

To find the reciprocal of a mixed number, first convert the mixed number to an improper fraction. Then, take the reciprocal of that fraction by swapping the numerator and the denominator.

Step 1: Convert the Mixed Number to an Improper Fraction

To find the reciprocal of \(3 \frac{4}{5}\), we first convert the mixed number to an improper fraction.

\[ 3 \frac{4}{5} = \frac{3 \times 5 + 4}{5} = \frac{15 + 4}{5} = \frac{19}{5} \]

Step 2: Find the Reciprocal of the Improper Fraction

The reciprocal of a fraction \(\frac{a}{b}\) is \(\frac{b}{a}\). Therefore, the reciprocal of \(\frac{19}{5}\) is:

\[ \frac{5}{19} \]

Final Answer

\(\boxed{\frac{5}{19}}\)

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
An investigator proposes to study a marketed product sold to treat high blood pressure in individuals over age 12 using a liquid formulation for children under age 12. The drug sponsor hopes that the information from the research can be used to change the labeling for use of the drug in younger children. Which of the following is the investigator's most appropriate course of action? Submit the research protocol to the IRB for review, but do not submit an IND application to the FDA since the drug is already approved and marketed for this indication Submit the research protocol to the Office for Human Research Protections (OHRP) for their review Submit the research protocol to the IRB for review and submit an IND application to the FDA before conducting the research Submit an Investigational Device Exemption (IDE) application to the FDA
failedAnswered
y^8 * y^-2 = y^8 / 1 * 1 / y^2 = 1 * y^4 / y^5 = y^-1 = 1 / y (x^4)^-3 = x^-12 = 1 / x^12 (65^4 t^-7)^2 = 36 s^8 / 1 (4 / x^3)^-3 = 6
failedAnswered
A city currently has 132 streetlights. As part of an urban renewal program, the city council has decided to install 2 additional streetlights at the end of each week for the next 52 weeks. How many streetlights will the city have at the end of 36 weeks? streetlights
failedAnswered
Figure 4-3 shows the market for tiger shrimp. The market is initially in equilibrium at a price of 15 and a quantity of 80. Now suppose producers decide to cut output to 40 in order to raise the price to 18. 20) Refer to Figure 4-3. What is the value of the deadweight loss at a price of 18? 100 180 660 1,040
failedAnswered
The alpha helix and beta pleated sheet are examples of protein A primary structure. (B) quaternary structure. (C) tertiary structure. (D) gamma structure. (E) secondary structure.