Multiplying fractions and mixed numbers practice. multiply:2/3x6/7

Put in answer in lowest terms

To multiply fractions, you multiply the numerators (top numbers) together, and then multiply the denominators (bottom numbers) together. Let's apply this to the example of multiplying 2/3 by 6/7:

Step 1: Multiply the numerators: 2 x 6 = 12.
Step 2: Multiply the denominators: 3 x 7 = 21.

Now, put the result of the numerator (12) over the result of the denominator (21). So the final answer is 12/21.

However, the answer should be in its lowest terms. This means we need to simplify the fraction by finding the greatest common divisor (GCD) between the numerator and denominator and dividing them by it.

To simplify 12/21, we find the GCD of 12 and 21, which is 3. Divide both the numerator and denominator by 3:

12 ÷ 3 = 4
21 ÷ 3 = 7

So, the simplified (lowest term) form of 12/21 is 4/7.