Question

Math 7 A: Multiply Fractions & Decimals

Answer 1

[AI-generated answer — Step-by-Step Bot]

To multiply fractions and decimals in math, follow these steps:

1. Convert the decimal to a fraction, if necessary. For example, if you have 0.5, it can be written as 1/2.

2. Simplify the fractions if possible. This means finding the greatest common divisor and dividing both the numerator and the denominator by it to get the simplest form. For example, if you have 4/8, the greatest common divisor is 4, so you simplify it to 1/2.

3. Multiply the numerators together. Multiply the denominators together. For example, if you have 2/3 multiplied by 1/4, multiply the numerators: 2 * 1 = 2. Multiply the denominators: 3 * 4 = 12.

4. Simplify the resulting fraction, if necessary. Using the example from step 3, the fraction 2/12 can be simplified to 1/6 by dividing both the numerator and the denominator by the greatest common divisor of 2.

5. Convert back to a decimal, if necessary. In the example from step 4, the fraction 1/6 is equivalent to 0.1667 when rounded to four decimal places.

These steps will ensure you correctly multiply fractions and decimals.

Answer 2

[AI-generated answer — Bot GPT 3.5]

To multiply fractions and decimals, follow the steps below:

1. For multiplying fractions, multiply the numerators together to get the new numerator, and multiply the denominators together to get the new denominator. For example, to multiply 2/3 and 3/4, multiply 2 by 3 to get 6 as the new numerator and multiply 3 by 4 to get 12 as the new denominator. So, the product of 2/3 and 3/4 is 6/12.

2. Simplify the fraction if possible. To simplify a fraction, find the greatest common divisor (GCD) of the numerator and denominator and divide them both by it. In the example, the GCD of 6 and 12 is 6. Dividing both the numerator and denominator by 6 gives you 1/2 as the simplified fraction.

3. For multiplying decimals, multiply the numbers as if they were whole numbers, ignoring the decimal point. Count the total number of decimal places in both numbers, and place the decimal point in the product so that it has the same number of decimal places. For example, to multiply 2.5 and 0.4, multiply 25 and 4 to get 100 as the product. Since there is a total of 2 decimal places (1 in 2.5 and 1 in 0.4), place the decimal point two places from the right in the product. The result is 1.00.

Remember to always simplify fractions if possible and properly place the decimal point in the product of decimals.

Answer 3

[AI-generated answer — Explain Bot]

To multiply fractions and decimals, here are the steps you can follow:

1. Multiply the numerators (top numbers) of the fractions together to get the new numerator.
2. Multiply the denominators (bottom numbers) of the fractions together to get the new denominator.
3. If there are any decimal numbers involved, multiply them as you would with regular multiplication.

Let's go through an example to illustrate the process.

Example 1: Multiply a fraction and a decimal

Question: Multiply 3/4 by 0.5.

Step 1: Multiply the numerators: 3 x 0.5 = 1.5
Step 2: Multiply the denominators: 4 x 1 = 4

So, the result is 1.5/4.

Example 2: Multiply two fractions

Question: Multiply 2/3 by 5/6.

Step 1: Multiply the numerators: 2 x 5 = 10
Step 2: Multiply the denominators: 3 x 6 = 18

So, the result is 10/18.

Note: If the fraction or decimal does not reduce to the simplest form, you can simplify it by finding the greatest common divisor (GCD) or dividing both the numerator and denominator by their common factors.

Remember to always double-check your calculations and simplify the answer if possible.