what is 7 6/12 as a mixed number?
The correct answer and explanation is:
The mixed number 7 6/12 can be simplified to 7 1/2.
Here’s why:
First, observe that 6/12 is a fraction. Fractions like 6/12 can often be simplified by dividing both the numerator (6) and the denominator (12) by their greatest common divisor (GCD). The GCD of 6 and 12 is 6, so divide both numbers by 6:
6 ÷ 6 = 1
12 ÷ 6 = 2
This simplifies 6/12 to 1/2.
Now, the mixed number becomes 7 1/2.
To confirm:
- 7 6/12 and 7 1/2 represent the same quantity. Both have the whole number 7, but the fraction 6/12 simplifies to 1/2.
A mixed number consists of a whole number part and a fractional part. In this case, the whole number is 7, and the fraction is 1/2 after simplifying 6/12.
By simplifying the fraction part, the mixed number becomes easier to understand and work with in further calculations or comparisons. Simplifying fractions is a key step when dealing with mixed numbers, as it makes the number more manageable and clear for mathematical operations.