Name a fraction that is less than 2/3 but greater than 1/2.
There may be other ways to work this but I would convert both 2/3 and 1/2 to a common denominator. That would be x/6
2/3 = 4/6
1/2 = 3/6
so 3.5/6 would be between the two; however, your teacher may not accept that since the numerator is a fraction. So what to do? Convert both 4/6 and 3/6 to a larger fraction, for example, x/12. Then
4/6 = 8/12
3/6 = 6/12,
Now 7/12 is between 6/12 and 8/12. Said another way,
7/12 is between 2/3 and 1/2.
THANK YOU!!!
To find a fraction that is less than 2/3 but greater than 1/2, we need to identify a fraction that falls between these two values on the number line.
Let's start by converting the fractions 2/3 and 1/2 into decimals.
To convert 2/3 into a decimal, divide the numerator (2) by the denominator (3):
2 ÷ 3 = 0.666666...
So, 2/3 as a decimal is approximately 0.667.
Next, convert 1/2 into a decimal:
1 ÷ 2 = 0.5
Therefore, 1/2 as a decimal is 0.5.
Now, we need to find a fraction that is between 0.5 and 0.667.
One way to approach this is to split the difference between these two decimals.
Add the two decimals together and divide by 2:
0.5 + 0.667 = 1.167
1.167 ÷ 2 = 0.5835
So, the decimal value of the fraction we are looking for is approximately 0.5835.
To convert this decimal into a fraction, we can express it as 5835/10000, which can be simplified by dividing both the numerator and the denominator by their greatest common divisor. In this case, it is 5.
5835 ÷ 5 = 1167
10000 ÷ 5 = 2000
So, the simplified fraction is 1167/2000.
Therefore, the fraction 1167/2000 is less than 2/3 but greater than 1/2.