Evaluate the expression. 1/5 * 3/4 + 2/5 Write your answer as a fraction or as a whole or mixed number. ______

Multiply fractions: First, we need to multiply the fractions 1/5 and 3/4. Calculation: (1/5) * (3/4) = 3/20Add fractions: Next, we add the result from the first step to 2/5. Calculation: 3/20 + 2/5 To add these fractions, we need a common denominator. The least common denominator between 20 and 5 is 20. Convert 2/5 to a fraction with a denominator of 20: (2/5) * (4/4) = 8/20 Now add: 3/20 + 8/20 = 11/20

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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}{5} \times \frac{3}{4} + \frac{2}{5}

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

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______

Multiply fractions: First, we need to multiply the fractions $\frac{1}{5}$ and $\frac{3}{4}$ . $\newline$ Calculation: $(\frac{1}{5}) \times (\frac{3}{4}) = \frac{3}{20}$
Add fractions: Next, we add the result from the first step to $\frac{2}{5}$ . $\newline$ Calculation: $\frac{3}{20} + \frac{2}{5}$ $\newline$ To add these fractions, we need a common denominator. The least common denominator between $20$ and $5$ is $20$ . $\newline$ Convert $\frac{2}{5}$ to a fraction with a denominator of $20$ : $(\frac{2}{5}) \times (\frac{4}{4}) = \frac{8}{20}$ $\newline$ Now add: $\frac{3}{20} + \frac{8}{20} = \frac{11}{20}$