What is the base-ten fraction representation for 1.21_four? A) 1 $\frac { 9 } { 16 }$ B) 1 $\frac { 3 } { 4 }$ C) 1 $\frac { 21 } { 100 }$ D) 1 $\frac { 3 } { 5 }$

Question

Quizplus · Accepted Answer

The given number is in a base-four system (indicated by the "four" in the question). Converting each digit to base-ten and considering the place values (1s, 1/4s, 1/16s, etc.), we get 1 whole, and the fractional part is 2*(1/4) + 1*(1/16) = 1/2 + 1/16 = 8/16 + 1/16 = 9/16. Therefore, the base-ten representation is 1 and 9/16.

What Is the Base-Ten Fraction Representation for 1 916\frac { 9 } { 16 }169​

What Is the Base-Ten Fraction Representation for 1 $\frac { 9 } { 16 }$