Answer :
The result of the expression of fractions "1 whole minus 7/12 minus 1/4" is 1/6.
To solve the expression "1 whole minus 7/12 minus 1/4," we need to find the common denominator for the fractions involved.
The common denominator of 12 and 4 is 12.
First, we convert the whole number 1 into a fraction with a denominator of 12. It becomes 12/12.
Now, we can subtract the fractions:
12/12 - 7/12 - 3/12
= (12 - 7 - 3)/12
= 2/12.
Simplifying further, we can divide both the numerator and denominator by their greatest common divisor, which is 2.
This gives us:
2/12 = 1/6.
Therefore, the result of the expression "1 whole minus 7/12 minus 1/4" is 1/6.
Learn more about the fraction here:
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Final answer:
To find 1 minus 7/12 minus 1/4, we convert 1 to 12/12, subtract 7/12 to get 5/12, convert 1/4 to 3/12, subtract to get 2/12, and then simplify to 1/6.
Explanation:
When dealing with fractions, it helps to have an intuitive sense of their values in relation to whole numbers. In this case, we want to perform a subtraction: we start with one whole and subtract 7/12 and then subtract 1/4. To do this, let's express one whole as a fraction with a common denominator of 12, which would be 12/12. Next, we subtract the other two fractions:
- 12/12 - 7/12 = 5/12
- Now, subtract 1/4, but first convert it to a fraction with a denominator of 12, which is 3/12.
- Finally, subtract: 5/12 - 3/12 = 2/12
This fraction can be simplified by dividing the numerator and the denominator by their greatest common factor, which is 2. Therefore, 2/12 simplifies to 1/6. So, the final answer is 1/6.
