Evaluate the expression. 1/2 + 4/5 * 1/4 Write your answer as a fraction or as a whole or mixed number. ______

Identify Order of Operations: Identify the order of operations. According to the order of operations (PEMDAS/BODMAS), we should perform multiplication before addition.Perform Multiplication: Perform the multiplication part of the expression. Multiply 4/5 by 1/4. (4/5) * (1/4) = 4/20 = 1/5 after simplifying.Perform Addition: Perform the addition part of the expression. Add 1/2 to the result from Step 2, which is 1/5. 1/2 + 1/5 To add these fractions, we need a common denominator. The least common denominator for 2 and 5 is 10.Convert Fractions: Convert fractions to have the same denominator. Convert 1/2 to 5/10 and 1/5 to 2/10. 1/2 = 5/10 1/5 = 2/10Add Fractions: Add the fractions with the common denominator. 5/10 + 2/10 = 7/10Write Final Answer: Write the final answer. The final answer is 7/10.

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Evaluate the expression. $\newline$ $\frac{1}{2} + \frac{4}{5} \times \frac{1}{4}$ $\newline$ Write your answer as a fraction or as a whole or mixed number. $\newline$ ______

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Math Problems

Grade 7

Evaluate numerical expressions involving fractions

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Q. Evaluate the expression.

\newline

\frac{1}{2} + \frac{4}{5} \times \frac{1}{4}

\newline

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

\newline

______

Identify Order of Operations: Identify the order of operations. $\newline$ According to the order of operations (PEMDAS/BODMAS), we should perform multiplication before addition.
Perform Multiplication: Perform the multiplication part of the expression. $\newline$ Multiply $\frac{4}{5}$ by $\frac{1}{4}$ . $\newline$ $\left(\frac{4}{5}\right) * \left(\frac{1}{4}\right) = \frac{4}{20} = \frac{1}{5}$ after simplifying.
Perform Addition: Perform the addition part of the expression. $\newline$ Add $\frac{1}{2}$ to the result from Step $2$ , which is $\frac{1}{5}$ . $\newline$ $\frac{1}{2} + \frac{1}{5}$ $\newline$ To add these fractions, we need a common denominator. The least common denominator for $2$ and $5$ is $10$ .
Convert Fractions: Convert fractions to have the same denominator. $\newline$ Convert $\frac{1}{2}$ to $\frac{5}{10}$ and $\frac{1}{5}$ to $\frac{2}{10}$ . $\newline$ $\frac{1}{2} = \frac{5}{10}$ $\newline$ $\frac{1}{5} = \frac{2}{10}$
Add Fractions: Add the fractions with the common denominator. $\frac{5}{10} + \frac{2}{10} = \frac{7}{10}$
Write Final Answer: Write the final answer. $\newline$ The final answer is $\frac{7}{10}$ .