Question

Which statement about the answer to this problem is most accurate? ​45−34=120​ The answer 120 is reasonable because ​45​ and 34​ are both closer to 1 than they are to 12, making the difference close to 0. The answer 120 is not reasonable because ​45​ is closer to 1 than to ​12​, and ​34​ is closer to 0 than to ​12​, making the difference close to 12. ​ The answer 120 is reasonable because both fractions are closer to 12 than they are to 1, making the difference close to 0. The answer​120​is not reasonable because ​45​ is closer to ​12​ than to 1, and ​34​ is closer to 0 than to ​12, making the difference close to​ ​12​.

Answer 1

Answer:

A. The answer 1/20 is reasonable because ​4/5​ and 3/4​ are both closer to 1 than they are to 1/2, making the difference close to 0.

Step-by-step explanation:

Given: $\frac{4}{5}$ - $\frac{3}{4}$

Solving this,

         $\frac{4}{5}$ - $\frac{3}{4}$

the lowest common multiple is 20, so that:

          = $\frac{16 - 15}{20}$

         = $\frac{1}{20}$

converting the fractions to decimal,

$\frac{4}{5}$ = 0.8

$\frac{3}{4}$ = 0.75

so that,

0.8 - 0.75

= 0.05

$\frac{1}{20}$ = 0.05

It can be observed that the fractions, $\frac{4}{5}$ and $\frac{3}{4}$, are closer to 1, so that the answer, $\frac{1}{20}$, is close to 0.