Multiply 1 2/3 by 6 1/2 . Convert the answer to be a mixed number.(1 point)
Responses
10 5/6
11 1/6
65/6
18/5
To multiply 1 2/3 by 6 1/2, we can first convert these mixed numbers into improper fractions.
1 2/3 = (3*1 + 2)/3 = 5/3
6 1/2 = (2*6 + 1)/2 = 13/2
Now, we can multiply these two fractions:
(5/3) * (13/2) = (5*13)/(3*2) = 65/6
The answer, 65/6, is already in fractional form. To convert it to a mixed number, we divide the numerator (65) by the denominator (6) and write the remainder as a fraction.
65 ÷ 6 = 10 remainder 5
So, the mixed number is 10 5/6.
The correct answer is 10 5/6.
To multiply 1 2/3 by 6 1/2, follow these steps:
Step 1: Convert both mixed numbers into improper fractions.
1 2/3 = (3*1 + 2) / 3 = 5/3
6 1/2 = (2*6 + 1) / 2 = 13/2
Step 2: Multiply the two fractions.
(5/3) * (13/2) = (5 * 13) / (3 * 2) = 65/6
Step 3: Convert the result back to a mixed number.
Divide the numerator (65) by the denominator (6):
65 ÷ 6 = 10 with a remainder of 5
So the answer is 10 5/6
To multiply mixed numbers, you can follow these steps:
1. Convert the mixed numbers to improper fractions.
- 1 2/3 can be written as (3 * 1 + 2) / 3 = 5/3
- 6 1/2 can be written as (2 * 6 + 1) / 2 = 13/2
2. Multiply the numerators (top numbers) of the fractions together.
- 5/3 * 13/2 = (5 * 13) / (3 * 2) = 65/6
3. Simplify the fraction, if possible. In this case, the fraction is already in its simplest form.
4. Convert the improper fraction back to a mixed number.
- Divide the numerator (65) by the denominator (6) to get the whole number part: 65 ÷ 6 = 10 with a remainder of 5.
- The whole number part becomes the whole number of the mixed number: 10
- The remainder (5) becomes the numerator of the fraction part, while the denominator (6) remains the same: 5/6
Therefore, the result of multiplying 1 2/3 by 6 1/2 and converting the answer to a mixed number is 10 5/6.