Question

Simplify two whole number 2/5 + 1 number 1/10 - 3/20

Answer 1

To simplify the expression \( \frac{2}{5} + 1 + \frac{1}{10} - \frac{3}{20} \), we first need to convert all fractions to have a common denominator.

The denominators are 5, 10, and 20. The least common multiple of these numbers is 20.

Now, we convert each fraction:

- For \( \frac{2}{5} \):
\[
\frac{2}{5} = \frac{2 \times 4}{5 \times 4} = \frac{8}{20}
\]

- For \( \frac{1}{10} \):
\[
\frac{1}{10} = \frac{1 \times 2}{10 \times 2} = \frac{2}{20}
\]

- For \( \frac{3}{20} \) (it already has the correct denominator):
\[
\frac{3}{20} = \frac{3}{20}
\]

Now, substitute these values back into the expression:
\[
\frac{8}{20} + 1 + \frac{2}{20} - \frac{3}{20}
\]

Next, we can combine the fractions:
\[
\left(\frac{8}{20} + \frac{2}{20} - \frac{3}{20}\right) + 1 = \frac{8 + 2 - 3}{20} + 1 = \frac{7}{20} + 1
\]

Now, we can convert the whole number \(1\) into a fraction with the same denominator:
\[
1 = \frac{20}{20}
\]

So, we have:
\[
\frac{7}{20} + \frac{20}{20} = \frac{7 + 20}{20} = \frac{27}{20}
\]

Thus, the final simplified expression is:
\[
\frac{27}{20}
\]
or in mixed number form:
\[
1 \frac{7}{20}
\]