How do you multiply a fraction by a decimal?

To multiply a fraction by a decimal, convert the decimal to a fraction, then multiply the fractions.

When you need to multiply a fraction by a decimal, the first step is to convert the decimal into a fraction. For example, if you have the decimal 0.5, you can write it as the fraction 1/2. This is because 0.5 means 5 tenths, which simplifies to 1/2.

Next, you multiply the original fraction by the new fraction. Suppose you have the fraction 3/4 and you want to multiply it by 0.5 (which we've converted to 1/2). You multiply the numerators (top numbers) together and the denominators (bottom numbers) together. So, 3/4 multiplied by 1/2 is calculated as follows:

\[ \frac{3}{4} \times \frac{1}{2} = \frac{3 \times 1}{4 \times 2} = \frac{3}{8} \]

This gives you the product of the fraction and the decimal.

If the decimal is more complex, like 0.75, you convert it to a fraction first. 0.75 is the same as 75/100, which simplifies to 3/4. Then, you follow the same multiplication process. For example, multiplying 2/3 by 0.75 (which is 3/4) would be:

\[ \frac{2}{3} \times \frac{3}{4} = \frac{2 \times 3}{3 \times 4} = \frac{6}{12} = \frac{1}{2} \]

By converting the decimal to a fraction, you simplify the multiplication process and ensure accurate results.