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Evaluate the expression. $\newline$ $1 + \frac{1}{2} \div \frac{2}{3}$ $\newline$ Write your answer as a fraction or as a whole or mixed number. $\newline$ ______

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Evaluate numerical expressions involving fractions

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Q. Evaluate the expression.

\newline

1 + \frac{1}{2} \div \frac{2}{3}

\newline

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

\newline

______

Multiply fractions: Now, let's multiply the fractions. $\newline$ $(\frac{1}{2}) \times (\frac{3}{2}) = \frac{3}{4}$ $\newline$ We got the result of the division part.
Add whole number to fraction: Next, we add the result to $1$ . $\newline$ $1 + \frac{3}{4}$ $\newline$ To add a whole number to a fraction, we can think of the whole number as a fraction with a denominator of $1$ . $\newline$ So, $1$ is the same as $\frac{4}{4}$ .
Add fractions: Now, we add the two fractions. $\frac{4}{4} + \frac{3}{4} = \frac{7}{4}$ This is our final answer, which is a mixed number.

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