110k views
2 votes
Order 2/3, 3/7, 7/19 From least to greatest

User Kang Su
by
7.8k points

1 Answer

5 votes

Given:

The fractions are,


(2)/(3),(3)/(7),(7)/(19)

To order: From least to greatest.

Step-by-step explanation:

Since the denominator is unequal

Let us find the LCM of 3, 7, and 19.


\begin{gathered} LCM=3*7*19 \\ =399 \end{gathered}

Let us make all the denominators 399.


\begin{gathered} (2)/(3)*(133)/(133)=(266)/(399) \\ (3)/(7)*(57)/(57)=(171)/(399) \\ (7)/(19)*(21)/(21)=(147)/(399) \end{gathered}

Since,


147<171<266

Therefore, we can write


(7)/(19)\lt(3)/(7)\lt(2)/(3)

Therefore, the numbers from least to greatest is,


(7)/(19),(3)/(7),(2)/(3)

Final answer:


(7)/(19),(3)/(7),(2)/(3)

User Dominick Piganell
by
8.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories