Westonci.ca is the best place to get answers to your questions, provided by a community of experienced and knowledgeable experts. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.
Sagot :
[tex]\frac{11}{20} =\frac{11 \times 9}{20 \times 9}=\frac{99}{180} \\ \\
\frac{5}{9}=\frac{5 \times 20}{9 \times 20}=\frac{100}{180} \\ \\
99<100 \Rightarrow \frac{99}{180}<\frac{100}{180} \Rightarrow \boxed{\frac{11}{20} < \frac{5}{9}} \Leftarrow \hbox{answer A}[/tex]
Answer:
[tex]\dfrac{11}{20}<\dfrac{5}{9}[/tex]
A is correct.
Step-by-step explanation:
Given: [tex]\dfrac{11}{20}\text{ and }\dfrac{5}{9}[/tex]
We need to compare the two fraction.
We can compare either greater , less or equal.
If we compare two fraction. First we make their denominator same.
Denominators are 20 and 9
We will find the LCD of 20 and 9
20 = 2 x 2 x 5
9 = 3 x 3
LCD = 2 x 2 x 3 x 3 x 5 = 180
[tex]\text{First Fraction}\rightarrow \dfrac{11\times 9}{20\times 9}\Rightarrow \dfrac{99}{180}[/tex]
[tex]\text{Second Fraction}\rightarrow \dfrac{5\times 20}{9\times 20}\Rightarrow \dfrac{100}{180}[/tex]
Now, we can see their denominator are same.
We will compare the numerator.
99<100
Thus,
[tex]\dfrac{99}{180}<\dfrac{100}{180}[/tex]
[tex]\dfrac{11}{20}<\dfrac{5}{9}[/tex]
Hence, [tex]\dfrac{11}{20}<\dfrac{5}{9}[/tex] correct.
Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.