Verified answer

Answer:

Step-by-step explanation:

1. [tex]3\frac{7}{8}[/tex] ÷ [tex]\frac{10}{1}[/tex] = [tex]\frac{31}{80}[/tex]

• [tex]\frac{31}{8}[/tex] × [tex]\frac{1}{10}[/tex]  → reciprocal of the 2nd fraction

• [tex]\frac{31}{80}[/tex]

    2.  [tex]5\frac{3}{9}[/tex] ÷ [tex]\frac{7}{1}[/tex] = [tex]\frac{16}{21}[/tex]

• [tex]\frac{48}{9}[/tex] × [tex]\frac{1}{7}[/tex]
• [tex]\frac{48}{63}[/tex] → this fraction can reduced by dividing both numerator and denominator by the GCF (Greatest Common Factor), the GCF of (48 and 63 is 3)

• [tex]\frac{48 / 3}{63 / 3}[/tex] = [tex]\frac{16}{21}[/tex]

    3. [tex]5\frac{2}{3}[/tex] ÷ [tex]4\frac{3}{5}[/tex] = [tex]1\frac{16}{69}[/tex]

• [tex]\frac{17}{3}[/tex] ÷ [tex]\frac{23}{5}[/tex]
• [tex]\frac{17}{3}[/tex] × [tex]\frac{5}{23}[/tex]
• [tex]\frac{85}{69}[/tex] → convert it into mixed number. therefore,
• [tex]1\frac{16}{69}[/tex]

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