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wlad13 [49]
3 years ago
13

A student estimates the weight of astronauts on the moon by multiplying their weight by the decimal 0.16666....what fraction can

be used for the same estimation?
Mathematics
2 answers:
Y_Kistochka [10]3 years ago
8 0

Answer:

\frac{1}{6}      

Step-by-step explanation:

0.16666 can be written as \frac{16666}{1000000}

write the numerator and denominator as the product of their prime numbers

and divide the common numbers. Thus, it can be further reduced to \frac{1}{6}

The gravity of moon is about \frac{1}{6} times the gravity of the Earth due to which the weight of the astronauts on the moon can be found by multiplying by the decimal 0.16666.. or \frac{1}{6}.

Elden [556K]3 years ago
3 0

Let x = 1.66666... ....(1)

Multiply both sides of equation (1) by 10.

10x = 1.666666.... .... (2)

Multiply both sides of equation (1) by 100.

100x = 16.66666....... (3)

Subtract equation (2) from equation (3)

100x - 10x = 16.66666...- 1.66666...

90x = 15

x= \frac{15}{90}  = \frac{1}{6}

Hence, the required fraction form is \frac{1}{6} .... Answer.


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