Estimate. Then find each product. Simplify
6 1/3×1:5/6
Is the answer 11 11/18
That doesn't look like an estimate?
To estimate the product of 6 1/3 and 1 5/6, you can round each fraction to the nearest whole number.
6 1/3 rounds to 6, and 1 5/6 rounds to 2.
Multiplying 6 by 2 gives 12, which is our estimated product.
To find the exact product, we need to multiply the fractions.
First, convert the mixed numbers to improper fractions:
6 1/3 = (6*3 + 1)/3 = 19/3
1 5/6 = (1*6 + 5)/6 = 11/6
Now, multiply the numerators together (19 * 11) to get 209, and multiply the denominators (3 * 6) to get 18.
So the product is 209/18.
To simplify this fraction, find the greatest common divisor (GCD) of the numerator and the denominator, which is 1 in this case since 1 is the only common divisor of 209 and 18.
Dividing both the numerator and the denominator by 1 gives the simplified fraction:
209/18
Therefore, the exact product of 6 1/3 and 1 5/6 is 209/18, which cannot be simplified further.