What is the value of p in this proportion?

310p=4514

Enter your answer as a simplified fraction in the box.

What is the value of p in this proportion 310p4514 Enter your answer as a simplified fraction in the box class=

Respuesta :

Answer:

p = [tex]\frac{3}{32}[/tex]

Step-by-step explanation:

[tex]\frac{\frac{3}{10} }{p}[/tex] = [tex]\frac{\frac{4}{5} }{\frac{1}{4} }[/tex] ( cross- multiply )

[tex]\frac{4}{5}[/tex] p = [tex]\frac{3}{10}[/tex] × [tex]\frac{1}{4}[/tex] = [tex]\frac{3}{40}[/tex]

Multiply both sides by [tex]\frac{5}{4}[/tex] to clear the fraction on left side

p = [tex]\frac{5}{4}[/tex] × [tex]\frac{3}{40}[/tex] = [tex]\frac{1}{4}[/tex] × [tex]\frac{3}{8}[/tex] = [tex]\frac{3}{32}[/tex]

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