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

Convert to Multiplication: Step 1: Convert the division of fractions to multiplication by using the reciprocal of the divisor. 1/2 ÷ 1/5 becomes 1/2 * 5/1. Calculation: 1/2 * 5 = 5/2.Add to 1/4: Step 2: Add the result from Step 1 to 1/4. 5/2 + 1/4 needs a common denominator. Calculation: Convert 5/2 to 10/4, so 10/4 + 1/4 = 11/4.

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Math Problems

Grade 7

Evaluate numerical expressions involving fractions

Full solution

Q. Evaluate the expression.

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

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

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______

Convert to Multiplication: Step $1$ : Convert the division of fractions to multiplication by using the reciprocal of the divisor. $\newline$ $\frac{1}{2} \div \frac{1}{5}$ becomes $\frac{1}{2} \times \frac{5}{1}$ . $\newline$ Calculation: $\frac{1}{2} \times 5 = \frac{5}{2}$ .
Add to $\frac{1}{4}$ : Step $2$ : Add the result from Step $1$ to $\frac{1}{4}$ . $\frac{5}{2} + \frac{1}{4}$ needs a common denominator. $\newline$ Calculation: Convert $\frac{5}{2}$ to $\frac{10}{4}$ , so $\frac{10}{4} + \frac{1}{4} = \frac{11}{4}$ .