Evaluate the expression. $\newline$ $\frac{1}{5} + \frac{1}{4} \times \frac{3}{5}$ $\newline$ Write your answer as a fraction or as a whole or mixed number. $\newline$ ______

Full solution

Q. Evaluate the expression.

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\frac{1}{5} + \frac{1}{4} \times \frac{3}{5}

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Write your answer as a fraction or as a whole or mixed number.

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______

Identify operations: Step $1$ : Identify the operations to perform. $\newline$ We need to add $\frac{1}{5}$ and multiply $\frac{1}{4}$ by $\frac{3}{5}$ . According to the order of operations (PEMDAS/BODMAS), we should perform multiplication before addition.
Perform multiplication: Step $2$ : Perform the multiplication. $\newline$ $\frac{1}{4} \times \frac{3}{5} = \frac{1\times3}{4\times5} = \frac{3}{20}$
Add fractions: Step $3$ : Add the result from Step $2$ to $\frac{1}{5}$ .
$\frac{1}{5} + \frac{3}{20}$
To add these fractions, we need a common denominator. The least common denominator between $5$ and $20$ is $20$ .
$\frac{1}{5} = \frac{4}{20}$
So, $\frac{4}{20} + \frac{3}{20} = \frac{7}{20}$