Answer:
d) [tex]3\frac{3}{4}[/tex] pounds
Step-by-step explanation:
Hi there!
What we know:
- Sarah has [tex]11 \frac{1}{4}[/tex] pounds of dog food
- Sarah is dividing this into 3 containers
1) Convert [tex]11 \frac{1}{4}[/tex] into an improper fraction
[tex]11 \frac{1}{4}[/tex]
Multiply the whole number by the denominator
11 × 4 = 44
Add 44 to the numerator
44 + 1 = 45
[tex]\frac{45}{4}[/tex]
2) Divide [tex]\frac{45}{4}[/tex] by 3
[tex]\frac{45}{4} / 3[/tex]
Dividing by a number is the same as multiplying its reciprocal
[tex]= \frac{45}{4} *\frac{1}{3}[/tex]
Multiply the numerators and the denominators
[tex]45*1 = 45\\4*3 = 12[/tex]
[tex]= \frac{45}{12}[/tex]
3) Convert [tex]\frac{45}{12}[/tex] into a mixed number fraction
[tex]\frac{45}{12}[/tex] ⇒ [tex]3\frac{3}{4}[/tex]
Therefore, there will be [tex]3\frac{3}{4}[/tex] pounds of food in each container.
I hope this helps!
