Question

unit: fractions and mixed numbers
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question id: 116799
the movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer.
multiply $6 \cdot \frac{3}{8}$. simplify the answer and express it as a mixed number.
\\(\frac{9}{4}\\)
1
\\(6\frac{3}{8}\\)
\\(2\frac{1}{4}\\)

Explanation:

Step1: Multiply the integer and the numerator

To multiply an integer (6) by a fraction ($\frac{3}{8}$), we can write the integer as a fraction with denominator 1, so $6=\frac{6}{1}$. Then we multiply the numerators and the denominators: $\frac{6}{1} \times \frac{3}{8}=\frac{6\times3}{1\times8}=\frac{18}{8}$.

Step2: Simplify the fraction

Simplify $\frac{18}{8}$ by dividing both the numerator and the denominator by their greatest common divisor, which is 2. So $\frac{18\div2}{8\div2}=\frac{9}{4}$.

Step3: Convert to a mixed number

To convert $\frac{9}{4}$ to a mixed number, we divide 9 by 4. 4 goes into 9 twice (since $4\times2 = 8$) with a remainder of 1. So $\frac{9}{4}=2\frac{1}{4}$.

Answer:

D. $2\frac{1}{4}$ (assuming the options are labeled A, B, C, D in order, with D being $2\frac{1}{4}$)