Question

Question content area top
Part 1
Subtract.
two fifths
minusnine tenths
Question content area bottom
Part 1
two fifths
minusnine tenths
equals
  
enter your response here ​(Simplify your​ answer.)

Answer 1

To subtract \(\frac{2}{5}\) and \(\frac{9}{10}\), we first need a common denominator. The least common multiple of 5 and 10 is 10.

Now we convert \(\frac{2}{5}\) to a fraction with a denominator of 10:

\[
\frac{2}{5} = \frac{2 \times 2}{5 \times 2} = \frac{4}{10}
\]

Now we can rewrite the subtraction:

\[
\frac{4}{10} - \frac{9}{10}
\]

Now we subtract the numerators:

\[
\frac{4 - 9}{10} = \frac{-5}{10}
\]

Now, we simplify \(\frac{-5}{10}\):

\[
\frac{-5}{10} = \frac{-1}{2}
\]

So,

\[
\frac{2}{5} - \frac{9}{10} = \frac{-1}{2}
\]

The final simplified answer is:

\[
\frac{-1}{2}
\]