Welcome to my video on multiplying mixed numbers. - We have 1 and 5/6 being multiplied with 4 and 1/2. - The first step is to convert the mixed numbers into improper fractions. - Let's start by converting 1 and 5/6 into an improper fraction. - Since 1 and 5/6 has a 6 in the denominator, our improper fraction will also have a 6 in the denominator. - To convert, we multiply 6 by the whole number 1 and add it to the numerator 5. - This is all being multiplied by 4 and 1/2, so let's do the same thing with this mixed number. - We want to convert 4 and 1/2 into an improper fraction. - Since 4 and 1/2 has a 2 in the denominator, our improper fraction will also have a 2 in the denominator. - To convert, we multiply 2 by the whole number 4 and add it to the numerator 1. - Now let's simplify these fractions as much as possible. - In our first fraction, we have 6 times 1, which is 6, and we still have to add 5. - This is all over 6 multiplied by our second fraction, which has 2 times 4, which is 8, and we still have to add 1. - Let's simplify further. In our first fraction, we have 6 plus 5, which is 11, over 6. - This is all being multiplied by our second fraction, which has 8 plus 1, which is 9, over 2. - Now, since we have two fractions being multiplied, we simply multiply the numerators and multiply the denominators. - Before doing that, let's simplify the diagonals. Both 6 and 9 can be divided by 3 evenly. - Dividing 9 by 3 gives us 3, and dividing 6 by 3 gives us 2. - Now, let's multiply the numerators and denominators. - In the numerator, we have 11 times...
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