Use fraction bars to find the difference. Write the answer in simplest form.
4 1/2 - 3 2/3
9/2 - 11/3 = 27/6 - 22/6 = ?
Use fraction bars to find the difference write in simplest form 3 8/10 - 2 2/10=
To find the difference between 4 1/2 and 3 2/3 using fraction bars, we need to first convert the mixed numbers into improper fractions.
4 1/2 can be written as (4 * 2 + 1) / 2 = 9/2
3 2/3 can be written as (3 * 3 + 2) / 3 = 11/3
Now, let's visualize these fractions using fraction bars.
For 9/2, we need to represent the fraction 9 over 2. We can do this by dividing the fraction bar into 2 equal parts, and shading in 9 out of those 2 parts. Since we can't have a fraction of a bar, we represent the 9/2 fraction using 4 fraction bars, where 2 is shaded and the remaining 2 is unshaded.
For 11/3, we need to represent the fraction 11 over 3. We can do this by dividing the fraction bar into 3 equal parts, and shading in 11 out of those 3 parts. Since we can't have a fraction of a bar, we represent the 11/3 fraction using 3 fraction bars, where 3 is shaded and 2 is unshaded.
Now, to find the difference between these fractions, we need to subtract one fraction from the other.
Since we have more fraction bars for 9/2 than for 11/3, we need to make the denominators of these fractions the same.
To do this, we multiply the numerator and the denominator of 11/3 by 2, which gives us 22/6.
Now, we can subtract 9/2 - 22/6.
Since the denominators are the same, we can simply subtract the numerators: 9 - 22 = -13.
The resulting fraction is -13/6.
To write the answer in simplest form, we need to simplify the fraction.
-13/6 can be divided by their greatest common divisor, which is 1.
Dividing both the numerator and denominator by 1, we get:
-13/6, which is the simplified answer in simplest form.
Therefore, the difference between 4 1/2 and 3 2/3, written in simplest form, is -13/6.