Answer:1/7
Explanation:
To find what part of 3 and one half is one half, we'll first need to convert the mixed number 3 and one half into an improper fraction.
To do that, we multiply the whole number (3) by the denominator of the fraction (2) and add the numerator (1). So, 3 multiplied by 2 equals 6, and adding 1 gives us 7. The improper fraction equivalent of 3 and one half is 7/2.
Now, we can find what part of 7/2 is one half. To do this, we divide one half by 7/2.
In algebraic terms, we have:
(1/2) ÷ (7/2)
When we divide fractions, we can "invert and multiply." This means we take the reciprocal (flip) the second fraction and multiply it by the first fraction. So, we have:
(1/2) × (2/7)
Multiplying the numerators (1 and 2) gives us 2, and multiplying the denominators (2 and 7) gives us 14. Therefore, the result is:
2/14
Simplifying this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 2:
2 ÷ 2 = 1 14 ÷ 2 = 7
So, the final result is:
1/7
Therefore, one half is one-seventh of 3 and one half.