Multiply Fractions & Decimals

Answer 1

To multiply fractions and decimals, follow these steps:

1. If any of the numbers are decimals, convert them to fractions. For example, if you have the decimal 0.5, convert it to the fraction 1/2.

2. Multiply the numerators (the top numbers) of the fractions together to get the new numerator.

3. Multiply the denominators (the bottom numbers) of the fractions together to get the new denominator.

4. If needed, simplify the fraction by finding the greatest common factor (GCF) of the numerator and denominator, and then divide both numerator and denominator by the GCF.

5. If necessary, convert the fraction back into a decimal by dividing the numerator by the denominator.

Let's go through an example:

Example: Multiply 1/3 by 0.5

1. No decimals are present, so we don't need to convert any numbers.

2. Multiply the numerators: 1 * 1 = 1.

3. Multiply the denominators: 3 * 2 = 6.

4. The fraction 1/3 is already in its simplest form.

5. To convert the fraction 1/3 into a decimal, divide 1 by 3: 1 ÷ 3 = 0.3333 (rounded to four decimal places).

Therefore, 1/3 multiplied by 0.5 equals 0.3333.