Question

A restaurant uses 8 1/4 pounds of carrots to make 6 carrots cakes . Frank wants to use the same recipe. How many pounds of carrots does Frank need to make one carrot cake ?

Answer 1

Answer:

$1\frac{3}{8}$ pounds.

Step-by-step explanation:

We have been given that a restaurant uses 8 1/4 pounds of carrots to make 6 carrots cakes.

To find the amount of carrots used to make one cake, we will divide 8 1/4 by 6.

$8\frac{1}{4}\div 6$

Convert mixed fraction into improper fraction:

$8\frac{1}{4}\Rightarrow \frac{8\times 4+1}{4}=\frac{32+1}{4}=\frac{33}{4}$

$8\frac{1}{4}\div 6\Rightarrow\frac{33}{4}\div 6$

Convert to multiplication problem:

$\frac{33}{4}\div \frac{6}{1}=\frac{33}{4}\times\frac{1}{6}$

$\frac{33}{4}\div \frac{6}{1}=\frac{11}{4}\times\frac{1}{2}$

$\frac{33}{4}\div \frac{6}{1}=\frac{11}{8}$

$\frac{33}{4}\div \frac{6}{1}=1\frac{3}{8}$

Therefore, Frank needs $1\frac{3}{8}$ pounds of carrots to make one carrot cake.

Answer 2

1 1/2 pounds

16 ounces = 1 pound

8 1/4 pounds = 132 ounces
132 ounces/ 6 cakes = 22
22 ounces = 1 1/2 pounds