Respuesta :

Solution:

Convert the fractions into improper fractions and solve.

  • 9 1/2 ÷ 3 7/10
  • => 19/2 ÷ 37/10
  • => 19/2 x 10/37
  • => 19 x 5/37
  • => 95/37

Convert the fraction into mixed fraction (Not required):

  • => 95/37 = 37/37 + 37/37 + 21/37
  • => 1 + 1 + 21/37
  • => 2 + 21/37
  • => 2 21/37

The solution to the problem is 2 21/37.

Answer:

[tex]2\frac{21}{37}[/tex]

Step-by-step explanation:

[tex]9\frac{1}{2} / 3\frac{7}{10}[/tex]

open mixed fractions to improper fractions:

[tex]\frac{18+1}{2} /\frac{30+7}{10}[/tex]

simplify:

[tex]\frac{19}{2} /\frac{37}{10}[/tex]

making it division to multiplication changes side upside down:

[tex]\frac{19}{2} *\frac{10}{37}[/tex]

multiply both the fractions:

[tex]\frac{190}{74}[/tex]

simplify by 2:

[tex]\frac{95}{37}[/tex]

final answer in mixed fraction:

[tex]2\frac{21}{37}[/tex]