Two fractions are given. For each one, write its decimal equivalent and determine if the decimal is terminating or non-terminating.A. 9/20 B. 4/15

A=0.45 ;TerminatingB=0.26666.....;Non-TerminatingStep-by-step explanation:In both the fractions the numerator is less than the denominator thereby indicating that the decimal equivalent is definitely less than one.Now for A-We are making the denominator to a multiple of 10.[tex]\dfrac{9}{20}\times\dfrac{5}{5}=\dfrac{45}{100}=0.45[/tex]Now for B-Using normal long division, divide 4 by 15.               ;reminder at each step;calculation of the decimal equivalent15×2=30;10                                   ;0.215×6=90;10                                   ;0.2615×6=90;10                                   ;0.26615×6=90;10                                   ;0.266615×6=90;10                                   ;0.26666and so on....Therefore we can see that the reminder is remained constant throughout so there the decimal equivalent is non-terminating.