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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?

Sagot :

Write 3 3/4 as a fraction:

[tex]3\frac{3}{4}=3+\frac{3}{4}=\frac{12}{4}+\frac{3}{4}=\frac{15}{4}[/tex]

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.

[tex]\frac{15}{4}\text{cups}\cdot\frac{1\text{loaf}}{\frac{1}{6}\text{cup}}=\frac{15}{4}\text{cups}\cdot6\frac{\text{loaf}}{\text{cup}}=\frac{90}{4}\text{loaves}=\frac{45}{2}\text{loaves}[/tex]

You can write the answer as a mixed number:

[tex]\frac{45}{2}=\frac{44}{2}+\frac{1}{2}=22\frac{1}{2}[/tex]

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