1. Consider the rational numbers 4/13 and 3/10 .A. Which number is the larger number? Explain.B. What is a rational number between the two given numbers?
Accepted Solution
A:
Answer:So [tex]\frac{4}{13}[/tex] > [tex]\frac{3}{10}[/tex] Step-by-step explanation:the rational numbers are [tex]\frac{4}{13}[/tex] and [tex]\frac{3}{10}[/tex]Here denominators are not same . First convert these unlike fraction in to like fraction.first find the LCM of 13 and 10 = 130[tex]\frac{4}{13}[/tex] = ( [tex]\frac{4}{13}[/tex] )×( [tex]\frac{10}{10}[/tex]) = [tex]\frac{40}{130}[/tex] [tex]\frac{3}{10}[/tex] = ( [tex]\frac{3}{10}[/tex]) × ( [tex]\frac{13}{13}[/tex]) = [tex]\frac{39}{130}[/tex]Here now both fractions are like fraction. [tex]\frac{40}{130}[/tex] > [tex]\frac{39}{130}[/tex]So [tex]\frac{4}{13}[/tex] > [tex]\frac{3}{10}[/tex] There are only one number beteen these two rational numbers