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[tex] \frac{3 \frac{3}{4} }{ \frac{3}{8} } = \frac{ \frac{12 + 3}{4} }{ \frac{3}{8} } = \frac{ \frac{15}{4} }{ \frac{3}{8} } = \frac{ \frac{15 \times 2}{4 \times 2} }{ \frac{3}{8} } = \\ [/tex]

[tex] \frac{ \frac{30}{8} }{ \frac{3}{8} } = \frac{30}{8} \div \frac{3}{8} = \frac{30}{8} \times \frac{8}{3} = \frac{30}{3} = \\ [/tex]

[tex]10[/tex]

Thus there are (( 10 )) 3/8 in 3 3/4 .

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Answer:

[tex]\frac{3}{8}[/tex] can go into [tex]3\frac{3}{4}[/tex] exactly 10 times.

Step-by-step explanation:

  1. Convert the mixed number to an improper fraction: [tex]3\frac{3}{4}=\frac{15}{4}[/tex] (found by multiplying the denominator by the coefficient and adding the numerator)
  2. Divide (multiply by the reciprocal): [tex]\frac{15}{4}*\frac{8}{3}=\frac{120}{12}[/tex]
  3. Simplify: [tex]\frac{120}{12}=10[/tex]
  4. Done!

Hope this helps!

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