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

Simplify expression: Step 1: Simplify the expression using the order of operations (PEMDAS/BODMAS). First, handle the division in the expression 3/4 ÷ 1/3. To divide fractions, multiply the first fraction by the reciprocal of the second fraction. 3/4 ÷ 1/3 = 3/4 * 3/1 = 9/4 Add fractions: Step 2: Add the result from Step 1 to 1/4. Now, add 1/4 to 9/4. 1/4 + 9/4 = (1+9)/4 = 10/4 = 5/2

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Math Problems

Grade 7

Evaluate numerical expressions involving fractions

Full solution

Q. Evaluate the expression.

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

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

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______

Simplify expression: Step $1$ : Simplify the expression using the order of operations (PEMDAS/BODMAS). $\newline$ First, handle the division in the expression $\frac{3}{4} \div \frac{1}{3}$ . $\newline$ To divide fractions, multiply the first fraction by the reciprocal of the second fraction. $\newline$ $\frac{3}{4} \div \frac{1}{3} = \frac{3}{4} \times \frac{3}{1} = \frac{9}{4}$
Add fractions: Step $2$ : Add the result from Step $1$ to $\frac{1}{4}$ . Now, add $\frac{1}{4}$ to $\frac{9}{4}$ . $\frac{1}{4} + \frac{9}{4} = \frac{1+9}{4} = \frac{10}{4} = \frac{5}{2}$