Question

Each circle counts as one whole, Write a mixed number giving the amount shaded. Then, write this amount as an improper fraction.​

Answer 1

Answer:

$2 \frac{2}{5}$

$\frac{12}{5}$

Step-by-step explanation:

As a mixed fraction, There are 3 circles with 5 pieces in each so our denominator will be 5

The number that is shaded is 2 whole circles so that is 10 and 2 out of 5 of last one.

The whole number is 2 and the fraction for the last circle is 2/5 so our mixed number is

$2 \frac{2}{5}$

Now to find the improper fraction turn 2 into a fraction with 5 as a denominator.

$\frac{2}{1} \times \frac{5}{5}$

Which equal

$\frac{10}{5}$

Then add 2/5 to 10/5

$\frac{10}{5} + \frac{2}{5} = \frac{12}{5}$

Answer 2

Answer:

2 2/5, 12/5

Step-by-step explanation:

We can count the first two as two wholes, so that's 2*1, and that's just 2. Then, we see what part of the third circle is shaded in, and that would be 2/5. So that means that 2 2/5 of all the triangles were shaded in. BUUUT, we can also count the individual shades pieces, and that would get you 12, so you do 12/5.

Also:

If you have 2 2/5, you can do 2 multiplied by the denominator (5) added to the numerator (2) and then over the denominator (5). So it would be 2*5 = 10, 10 + 2 = 12, then you do 12/5, and that's how you make a mixed number into an improper fraction.

Let me know if you have any questions