Rosa has [tex]3 \frac{3}{4}[/tex] pounds of dough. She uses [tex]\frac{3}{4}[/tex] of a pound for one medium loaf of bread. How many medium loaves of bread could be made from Rosa's dough?

A. [tex]3 \frac{9}{16}[/tex]
B. 5
C. [tex]2 \frac{13}{16}[/tex]
D. 3



Answer :

To determine how many medium loaves of bread Rosa can make from her dough, let's work through the problem step-by-step.

1. Convert the mixed number to an improper fraction or a decimal:
Rosa has [tex]\(3 \frac{3}{4}\)[/tex] pounds of dough.
- The mixed number [tex]\(3 \frac{3}{4}\)[/tex] can be converted to an improper fraction by multiplying the whole number by the denominator and then adding the numerator:
[tex]\[ 3 \cdot 4 + 3 = 12 + 3 = 15 \][/tex]
Thus, [tex]\(3 \frac{3}{4} = \frac{15}{4}\)[/tex].
- Converting this to a decimal: [tex]\(3 \frac{3}{4} = 3 + \frac{3}{4} = 3 + 0.75 = 3.75\)[/tex].

2. Determine the amount of dough used per loaf:
Rosa uses [tex]\(\frac{3}{4}\)[/tex] of a pound of dough for one medium loaf of bread.
[tex]\[\frac{3}{4} = 0.75\][/tex]

3. Calculate the number of loaves:
To find out how many loaves she can make, divide the total amount of dough by the amount of dough used per loaf:
[tex]\[ \text{Number of loaves} = \frac{3.75}{0.75} \][/tex]

4. Perform the division:
- [tex]\(3.75 \div 0.75 = 5\)[/tex].

Therefore, Rosa can make 5 medium loaves of bread from her dough.

Final Answer: 5