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

Identify operations: Step 1: Identify the operations and order of operations in the expression. We have the expression 3/5 - 1/4 * 2/5. According to the order of operations (PEMDAS/BODMAS), we need to perform multiplication before subtraction.Perform multiplication: Step 2: Perform the multiplication. 1/4 * 2/5 = (1*2)/(4*5) = 2/20 = 1/10.Perform subtraction: Step 3: Perform the subtraction. 3/5 - 1/10. To subtract these fractions, we need a common denominator. The least common denominator between 5 and 10 is 10.Convert fractions: Step 4: Convert 3/5 to a fraction with denominator 10. 3/5 = (3*2)/(5*2) = 6/10.Subtract fractions: Step 5: Subtract the fractions. 6/10 - 1/10 = 5/10 = 1/2.

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Evaluate the expression. $\newline$ $\frac{3}{5} - \frac{1}{4} \times \frac{2}{5}$ $\newline$ Write your answer as a fraction or as a whole or mixed number. $\newline$ ______

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Math Problems

Grade 7

Evaluate numerical expressions involving fractions

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Q. Evaluate the expression.

\newline

\frac{3}{5} - \frac{1}{4} \times \frac{2}{5}

\newline

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

\newline

______

Identify operations: Step $1$ : Identify the operations and order of operations in the expression. $\newline$ We have the expression $\frac{3}{5} - \frac{1}{4} \times \frac{2}{5}$ . According to the order of operations (PEMDAS/BODMAS), we need to perform multiplication before subtraction.
Perform multiplication: Step $2$ : Perform the multiplication. $\newline$ $\frac{1}{4} \times \frac{2}{5} = \frac{1\times2}{4\times5} = \frac{2}{20} = \frac{1}{10}$ .
Perform subtraction: Step $3$ : Perform the subtraction. $\frac{3}{5} - \frac{1}{10}$ . To subtract these fractions, we need a common denominator. The least common denominator between $5$ and $10$ is $10$ .
Convert fractions: Step $4$ : Convert $\frac{3}{5}$ to a fraction with denominator $10$ . $\newline$ $\frac{3}{5} = \left(\frac{3\times2}{5\times2}\right) = \frac{6}{10}.$
Subtract fractions: Step $5$ : Subtract the fractions. $\frac{6}{10} - \frac{1}{10} = \frac{5}{10} = \frac{1}{2}.$