Question

Simplify the following expression.


1/4 + 7/20
A.
3/5




B.
13/20




C.
11/20




D.
1/3

Answer 1

To simplify the expression \( \frac{1}{4} + \frac{7}{20} \), we need to find a common denominator.

The denominators are 4 and 20. The least common multiple of 4 and 20 is 20.

Now we can convert \( \frac{1}{4} \) to have a denominator of 20:

\[
\frac{1}{4} = \frac{1 \times 5}{4 \times 5} = \frac{5}{20}
\]

Now we can add the two fractions:

\[
\frac{5}{20} + \frac{7}{20} = \frac{5 + 7}{20} = \frac{12}{20}
\]

Now we can simplify \( \frac{12}{20} \). We can divide both the numerator and the denominator by their greatest common divisor, which is 4:

\[
\frac{12 \div 4}{20 \div 4} = \frac{3}{5}
\]

So the simplified expression is \( \frac{3}{5} \).

The correct answer is:

**A. \( \frac{3}{5} \)**