Question

4. Maliyah has 3 54 cups of dough for baking bread. Each loaf of bread requires96 of a cup of dough. What is the exact number of loaves that Maliyah canmake from the dough?

Answer 1

Write 3 3/4 as a fraction:

`3(3)/(4)=3+(3)/(4)=(12)/(4)+(3)/(4)=(15)/(4)`

Use conversion factor to find the exact number of loaves that Maliyah can make with 3 3/4 (15/4) cups of dough.

1 loaf requires 1/6 of cup of dough.

`(15)/(4)\text{cups}\cdot\frac{1\text{loaf}}{(1)/(6)\text{cup}}=(15)/(4)\text{cups}\cdot6\frac{\text{loaf}}{\text{cup}}=(90)/(4)\text{loaves}=(45)/(2)\text{loaves}`

You can write the answer as a mixed number:

`(45)/(2)=(44)/(2)+(1)/(2)=22(1)/(2)`

Then, with 3 3/4 cups of dough Maliyah can make 22 1/2 (45/2) loaves of bread.