Solution:
[tex]\frac{1}{2}\times-4 \frac{4}{5}[/tex]
As one of the fraction is a proper fraction and another one is Mixed fraction.
There are two methods of solving it.
1. [tex]\frac{1}{2}\times-4 \frac{4}{5}=\frac{1}{2} \times \frac{-24}{5}=\frac{-12}{5}=-2\frac{2}{5}[/tex]
2. [tex]\frac{1}{2}\times-4 \frac{4}{5}=\frac{1}{2}[-4-\frac{4}{5}]=\frac{1}{2}\times (-4)+\frac{1}{2}\times\frac{-4}{5}=-2+\frac{-2}{5}=\frac{-10-2}{5}=\frac{-12}{5}=-2\frac{2}{5}[/tex]→→Here i have used Distributive property with respect to addition and Subtraction i.e a×(b+c)= a ×b + a×c or a×(b-c)=a×b-a×c
Now, you can fill the blanks by yourself.
Answer:Barbara writes each number as a fraction and then multiplies.
-24/5 -12/5
Answer:Christopher writes the mixed number as a sum and uses the distributive property.
-4 -4/5 -2 -2/5
Answer:Barbara's and Christopher’s answers will be equal. Write the answer as a mixed number in simplest form.
-2 2/5
Step-by-step explanation:
