First estimate the answer. Then multiply to find the exact answer. Simplify all answers.
8 1/6 . 9 3/4
Is this your problem?
8 1/6 times 9 3/4
What is your estimate?
79 15/24
That's pretty precise for an estimate.
I'd estimate 8 * 10 = 80.
(49/6) * (39/4) = 79 15/24 = 79 5/8
To estimate the multiplication of the two numbers 8 1/6 and 9 3/4, we can round them to the nearest whole numbers and then multiply.
Starting with the first number, 8 1/6, we can round the fraction 1/6 to the nearest whole number, which is 0. So we have 8 + 0 = 8.
Next, for the second number, 9 3/4, we can round the fraction 3/4 to the nearest whole number, which is 1. So we have 9 + 1 = 10.
Now, we can multiply the estimated numbers: 8 * 10 = 80.
To find the exact answer, we need to convert the mixed numbers into improper fractions, then multiply.
Starting with the first number, 8 1/6, we can convert it by multiplying the whole number (8) by the denominator (6) and then adding the numerator (1). This gives us (8 * 6 + 1) / 6 = 49/6.
Next, for the second number, 9 3/4, the conversion would be (9 * 4 + 3) / 4 = 39/4.
Now, we can multiply the two improper fractions: (49/6) * (39/4).
To multiply fractions, we simply multiply the numerators (top numbers) together and the denominators (bottom numbers) together. So, (49 * 39) / (6 * 4) = 1911/24.
Finally, we can simplify the fraction. Since both the numerator and denominator are divisible by 3, we divide them both by 3: (1911/3) / (24/3) = 637/8.
Therefore, the exact answer is 637/8.