Estimate the product

7 2/3 x 3 7/9

Find the sum
1 3/7 + 10 6/7

Estimate the sum
9 12/15 + 1 2/6

I can do it easily. But I bet you need the practice. If you post your answers, I'll check them for you.

To estimate the product of 7 2/3 and 3 7/9, follow these steps:

Step 1: Convert the mixed fractions to improper fractions.
7 2/3 can be written as 23/3, and 3 7/9 can be written as 34/9.

Step 2: Multiply the two improper fractions.
23/3 multiplied by 34/9 gives you (23 * 34) / (3 * 9).

Step 3: Simplify the fraction (if possible).
Multiply the numerators (23 * 34) to get 782, and multiply the denominators (3 * 9) to get 27. So, the product is 782/27.

To find the exact sum of 1 3/7 and 10 6/7, follow these steps:

Step 1: Convert the mixed fractions to improper fractions.
1 3/7 can be written as 10/7, and 10 6/7 can be written as 76/7.

Step 2: Add the two improper fractions.
10/7 plus 76/7 gives you (10 + 76) / 7.

Step 3: Simplify the fraction (if possible).
The numerator remains 86, and the denominator remains 7. So, the sum is 86/7.

To estimate the sum of 9 12/15 and 1 2/6, follow these steps:

Step 1: Convert the mixed fractions to improper fractions.
9 12/15 can be written as 147/15, and 1 2/6 can be written as 8/6.

Step 2: Add the two improper fractions.
147/15 plus 8/6 gives you (147 * 6 + 8 * 15) / (15 * 6).

Step 3: Simplify the fraction (if possible).
Multiply the numerators (147 * 6) to get 882, and multiply the denominators (15 * 6) to get 90. So, the sum is 882/90.

Remember, you can always simplify fractions further if needed by finding their greatest common divisor and dividing both the numerator and denominator by it.