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Mathematics

Grade6

Easy

Question

Convert 0.416 into a fraction.

$\frac{416}{1000}$
$\frac{46}{1000}$
$\frac{41}{1000}$
$\frac{416}{100}$

hint Hint:

To convert decimal into fraction, divide the numerator and denominator by 10 for every digit after the decimal point.
For example
$0.2 space c a n space a l s o space b e space w r i t t e n space a s space fraction numerator 0.2 over denominator 1 end fraction comma space S i n c e space t h e r e space i s space o n l y space o n e space d i g i t space a f t e r space t h e space d e c i m a l space s o space m u l t i p l y space b y space 10 space t o space t h e space n u m e r a t o r space a n d space d e n o m i n a t o r fraction numerator 0.2 over denominator 1 end fraction cross times 10 over 10 equals space 2$

The correct answer is: $416 over 1000$

To convert decimal into fraction, divide the numerator and denominator by 10 for every digit after the decimal point.
Here 0.416, Since there are 3 digits after the decimal point, multiply by 1000 to the numerator and denominator.
0.416 can also be written as $fraction numerator 0.416 over denominator 1 end fraction equals space fraction numerator 0.416 over denominator 1 end fraction cross times 1000 over 1000 equals space 416 over 1000$
Thus, 0.416 = $416 over 1000$

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