Multiply 4 by 2/3/7 . Convert the product to be a mixed number.
To multiply 4 by 2/3/7, we need to first divide 2 by 3, and then divide the result by 7. Let's simplify this step by step:
2 divided by 3:
2 ÷ 3 = 0.6666666667 (rounding to 10 decimal places)
Next, we divide the result (0.6666666667) by 7:
0.6666666667 ÷ 7 = 0.0952380952 (rounding to 10 decimal places)
Therefore, 4 multiplied by 2/3/7 is approximately 0.0952380952.
To convert this decimal to a mixed number, we can follow these steps:
1. Count the decimal places to determine the denominator of the fraction.
In this case, there are 10 decimal places, so the denominator would be 10 raised to the power of 10, which is 10,000,000,000.
2. Write the decimal as a fraction: place the digits after the decimal point as the numerator, and use the denominator from step 1.
The decimal 0.0952380952 can be represented as the fraction 952380952/10,000,000,000.
3. Simplify the fraction as much as possible.
In this case, no simplification is possible because the numerator and denominator do not share any common factors.
Therefore, the product 4 * 2/3/7 can be represented as the mixed number 952,380,952/10,000,000,000.
rong
Apologies for the incorrect response. Let's try solving it correctly.
To multiply 4 by 2/3/7, we can rewrite it as 4 * (2/3) * (1/7).
Now let's simplify this multiplication step by step:
First, multiply 4 by 2 to get 8: 4 * 2 = 8.
Next, multiply the result by 1/3: 8 * (1/3) = 8/3.
Lastly, multiply the result by 1/7: (8/3) * (1/7) = 8/21.
Therefore, the product of 4 multiplied by 2/3/7 is 8/21.
To convert this improper fraction to a mixed number, we divide the numerator (8) by the denominator (21):
8 ÷ 21 = 0 remainder 8.
Hence, we can express the product 8/21 as a mixed number: 0 8/21.
rong agin
Apologies for the confusion. Let's solve it again correctly.
To multiply 4 by 2/3/7, it's important to clarify the expression. Are you asking to multiply 4 by the fraction 2/3 and then divide by 7 (resulting in a fraction), or are you asking to multiply 4 by the product of 2/3 and 1/7 (resulting in a decimal)?
If we assume you meant to multiply 4 by the fraction 2/3 and then divide by 7, we can calculate it as follows:
4 * (2/3) ÷ 7
To multiply, we multiply the numerators (4 * 2) and the denominators (3 * 1):
(4 * 2) / (3 * 1) = 8/3
To convert this improper fraction to a mixed number, we divide the numerator (8) by the denominator (3):
8 ÷ 3 = 2 remainder 2
Hence, the product 4 * 2/3/7 is 2 2/3 when expressed as a mixed number.