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

Find Common Denominator: First, we need to find a common denominator for the fractions 3/5 and 1/4. The least common denominator (LCD) is 20. Convert 3/5 and 1/4 to have this common denominator: 3/5 = 12/20 and 1/4 = 5/20. Perform Multiplication: Next, we need to perform the multiplication in the expression 1/4 * 1/5. Multiplying these fractions: 1/4 * 1/5 = 1/20. Substitute and Subtract: Now, substitute the multiplication result back into the original expression and perform the subtraction: 3/5 - 1/20. Since 3/5 is already converted to 12/20: 12/20 - 1/20 = 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{3}{5} - \frac{1}{4} \times \frac{1}{5}

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

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______

Find Common Denominator: First, we need to find a common denominator for the fractions $\frac{3}{5}$ and $\frac{1}{4}$ . The least common denominator (LCD) is $20$ . Convert $\frac{3}{5}$ and $\frac{1}{4}$ to have this common denominator: $\newline$ $\frac{3}{5} = \frac{12}{20}$ and $\frac{1}{4} = \frac{5}{20}$ .
Perform Multiplication: Next, we need to perform the multiplication in the expression $\frac{1}{4} \times \frac{1}{5}$ . Multiplying these fractions: $\newline$ $\frac{1}{4} \times \frac{1}{5} = \frac{1}{20}.$
Substitute and Subtract: Now, substitute the multiplication result back into the original expression and perform the subtraction: $\frac{3}{5} - \frac{1}{20}$ . Since $\frac{3}{5}$ is already converted to $\frac{12}{20}$ : $\frac{12}{20} - \frac{1}{20} = \frac{11}{20}$ .