Question

The sum of two numbers is 31.26. If one of them is 11.76, what is the other number in fractional form?

• A. $\frac{39}{2}$
• B. $20\frac{1}{2}$
• C. $19\frac{1}{2}$
• D. $\frac{19}{2}$

Answer 1

Answer: (A), (C)

The correct options are
A

$\frac{39}{2}$

C

$19\frac{1}{2}$

Let the other number be x.
The equation is 11.76 + x = 31.26
$\Rightarrow$ x = 31.26 - 11.76

$31.26$
$-11.76$
$\overline{}$
$19.5=x$
$\overline{}$

The other number is 19.5

In fractional form we can write the number as $19\frac{1}{2}$

We can also write it as an improper fraction as $\frac{39}{2}$