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Maths-

General

Easy

Question

Express 0.3178 in the form of p/q. Where p and q are integers.

hint Hint:

Hint:
p/q form is the representation of a rational number such that p and q are integers and q ≠ 0. Decimals can only be represented in p/q form if they are either terminating decimal or non-terminating and repeating decimals.

The correct answer is: 1589/5000

As 0.3178 is a terminating decimal so it can be expressed as p/q form.
Step 1 of 2:
Write down 0.3178 divided by 1:
$equals fraction numerator 0.3178 over denominator 1 end fraction$
Step 2 of 2:
Multiplying numerator and denominator by 104(because there are 4 digits after the decimal point)
$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell equals fraction numerator 0.3178 cross times 10 to the power of 4 over denominator 1 cross times 10 to the power of 4 end fraction end cell row cell equals 3178 over 10000 end cell end table$
Simplifying the fraction:
$equals 1589 over 5000$
Final Answer:
Hence, the p/q form of 0.3178 is $1589 over 5000$

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