Evaluate the expression. 3/4 ÷ 1 + 1/2 Write your answer as a fraction or as a whole or mixed number. ______

Understand and Identify Operations: Step 1: Understand the expression and identify the operations involved. Expression: 3/4 ÷ 1 + 1/2 We need to divide 3/4 by 1 and then add 1/2 to the result. Perform Division First: Step 2: Perform the division first due to the order of operations. Calculation: 3/4 ÷ 1 = 3/4 Dividing by 1 does not change the value. Add Result to 1/2: Step 3: Add the result from Step 2 to 1/2. Calculation: 3/4 + 1/2 To add fractions, find a common denominator. The common denominator for 4 and 2 is 4. Convert 1/2 to 2/4. Now, add 3/4 + 2/4 = 5/4.

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Math Problems

Grade 7

Evaluate numerical expressions involving fractions

Full solution

Q. Evaluate the expression.

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\frac{3}{4} \div 1 + \frac{1}{2}

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

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______

Understand and Identify Operations: Step $1$ : Understand the expression and identify the operations involved. $\newline$ Expression: $\frac{3}{4} \div 1 + \frac{1}{2}$ $\newline$ We need to divide $\frac{3}{4}$ by $1$ and then add $\frac{1}{2}$ to the result.
Perform Division First: Step $2$ : Perform the division first due to the order of operations. $\newline$ Calculation: $\frac{3}{4} \div 1 = \frac{3}{4}$ $\newline$ Dividing by $1$ does not change the value.
Add Result to $1$ / $2$ : Step $3$ : Add the result from Step $2$ to $\frac{1}{2}$ . $\newline$ Calculation: $\frac{3}{4} + \frac{1}{2}$ $\newline$ To add fractions, find a common denominator. The common denominator for $4$ and $2$ is $4$ . $\newline$ Convert $\frac{1}{2}$ to $\frac{2}{4}$ . $\newline$ Now, add $\frac{3}{4} + \frac{2}{4} = \frac{5}{4}$ .