Question

1. use a mixed number and an improper fraction to describe each picture.

a)
b)
c)

Explanation:

Part a)

Step1: Identify mixed number

First figure is fully shaded ($1 = \frac{5}{5}$), second has $\frac{2}{5}$ shaded. Mixed number: $1+\frac{2}{5}=1\frac{2}{5}$

Step2: Convert to improper fraction

$\frac{5+2}{5}=\frac{7}{5}$

Part b)

Step1: Identify mixed number

Two full circles ($2 = \frac{8}{4}$), third has $\frac{3}{4}$ shaded. Mixed number: $2+\frac{3}{4}=2\frac{3}{4}$

Step2: Convert to improper fraction

$\frac{8+3}{4}=\frac{11}{4}$

Part c)

Step1: Identify mixed number

Two full rectangles ($2 = \frac{4}{2}$), third has $\frac{1}{2}$ shaded. Mixed number: $2+\frac{1}{2}=2\frac{1}{2}$

Step2: Convert to improper fraction

$\frac{4+1}{2}=\frac{5}{2}$

Answer:

a) Mixed number: $1\frac{2}{5}$, Improper fraction: $\frac{7}{5}$
b) Mixed number: $2\frac{3}{4}$, Improper fraction: $\frac{11}{4}$
c) Mixed number: $2\frac{1}{2}$, Improper fraction: $\frac{5}{2}$