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7. evaluate the expression: \\(\\frac{2}{5} \\times \\frac{3}{4}\\) \\(…

Question

  1. evaluate the expression: \\(\frac{2}{5} \times \frac{3}{4}\\)

\\(\bigcirc\\) 0.5
\\(\bigcirc\\) 0.6
\\(\bigcirc\\) 0.4
\\(\bigcirc\\) 0.3

Explanation:

Step1: Multiply numerators and denominators

To multiply fractions $\frac{2}{5} \times \frac{3}{4}$, we multiply the numerators together and the denominators together. So, $2\times3 = 6$ and $5\times4 = 20$. This gives us $\frac{6}{20}$.

Step2: Simplify the fraction

Simplify $\frac{6}{20}$ by dividing both the numerator and the denominator by their greatest common divisor, which is 2. So, $\frac{6\div2}{20\div2}=\frac{3}{10}$.

Step3: Convert to decimal

Convert $\frac{3}{10}$ to a decimal. Dividing 3 by 10 gives 0.3.

Answer:

0.3 (corresponding to the option with 0.3, likely the last option shown as "0.3" with a checkmark - the option text would be the one with 0.3, e.g., if the options are labeled as D. 0.3, then D. 0.3)