which of the following is an integer multiple of the unit fraction 1/4
(1/4)3
1/3•1/4
2.4/4
5/4
(1/4)3
To determine which of the following options is an integer multiple of the unit fraction 1/4, we can multiply each option by 4 and see if the result is an integer.
Let's go through each option one by one:
1) (1/4)3 is equivalent to (1/4) * 3 = 3/4. When multiplied by 4, we get (4/1) * (3/4) = 3. Therefore, 3/4 is not an integer multiple of 1/4.
2) 1/3 * 1/4 is equivalent to (1/3)*(1/4) = 1/12. When multiplied by 4, we get (4/1) * (1/12) = 1/3. Therefore, 1/3 is not an integer multiple of 1/4.
3) 2.4/4 simplifies to 0.6, which is not a fraction. We cannot multiply it by 4 to get an integer multiple of 1/4.
4) 5/4 is 1.25, which is not a fraction. We cannot multiply it by 4 to get an integer multiple of 1/4.
None of the given options is an integer multiple of 1/4.
To determine which of the given options is an integer multiple of the unit fraction 1/4, we need to find the ones that can be expressed as a whole number multiplied by 1/4.
Let's analyze each option:
1. (1/4)3: To simplify this expression, we multiply the unit fraction 1/4 by 3.
1/4 * 3 = 3/4
Since 3/4 is not an integer multiple of 1/4, option (1/4)3 is not an answer.
2. 1/3 * 1/4: To find the value of this expression, we multiply 1/3 by 1/4.
1/3 * 1/4 = 1/12
Since 1/12 is not an integer multiple of 1/4, option 1/3 * 1/4 is not an answer.
3. 2.4/4: To determine if this is an integer multiple of 1/4, we need to simplify the given expression.
2.4/4 = 12/20 = 3/5
Since 3/5 is not an integer multiple of 1/4, option 2.4/4 is also not an answer.
4. 5/4: To examine if this is an integer multiple of 1/4, we simplify the expression.
5/4 = 1.25
Since 1.25 is not an integer multiple of 1/4, option 5/4 is not an answer.
After evaluating all the options, none of them can be expressed as an integer multiple of the unit fraction 1/4.