To solve the expression \( \frac{9}{10} \times \frac{1}{2} - \frac{3}{10} \), we will follow the order of operations and solve step by step.
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Multiply \( \frac{9}{10} \) by \( \frac{1}{2} \): \[ \frac{9}{10} \times \frac{1}{2} = \frac{9 \times 1}{10 \times 2} = \frac{9}{20} \]
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Now subtract \( \frac{3}{10} \) from \( \frac{9}{20} \): To do this, we need a common denominator. The denominators here are 20 and 10. The least common multiple of 20 and 10 is 20.
- Convert \( \frac{3}{10} \) to a fraction with a denominator of 20: \[ \frac{3}{10} = \frac{3 \times 2}{10 \times 2} = \frac{6}{20} \]
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Now, perform the subtraction: \[ \frac{9}{20} - \frac{6}{20} = \frac{9 - 6}{20} = \frac{3}{20} \]
Therefore, the final result is: \[ \frac{3}{20} \]