estimating products

6/10 x 5 3/4

About 3

Thank you ms. sue can you explain to me how you get this I am really lost!!!!

To estimate the product of 6/10 and 5 3/4, we can follow these steps:

Step 1: Convert the mixed number 5 3/4 to an improper fraction.
5 3/4 = (4 * 5 + 3) / 4 = 23/4

Step 2: Multiply the fractions.
6/10 x 23/4 = (6 x 23) / (10 x 4) = 138/40

Step 3: Simplify the fraction, if possible.
In this case, 138/40 can be simplified by dividing both the numerator and denominator by their greatest common factor, which is 2:
138/40 = (69/20) / (20/20) = 69/20

So, the product of 6/10 and 5 3/4 is 69/20.