Question

assume that each circle shown below represents one unit. express the shaded amount as a single fraction and as a mixed number.

Explanation:

Step1: Count total parts and shaded parts

The first circle is fully - shaded with 8 parts, and the second circle has 7 shaded parts out of 8. So the total number of shaded parts is \(8 + 7=15\) and the total number of parts in each circle is 8.

Step2: Write as an improper fraction

The improper fraction is \(\frac{15}{8}\) since the total shaded parts are 15 and the denominator (number of parts in each whole) is 8.

Step3: Write as a mixed number

Divide 15 by 8. \(15\div8 = 1\) with a remainder of 7. So the mixed number is \(1\frac{7}{8}\).

Answer:

Improper fraction: \(\frac{15}{8}\), Mixed number: \(1\frac{7}{8}\)