How do you make the fraction 109 over 171 into a decimal?

1 answer

Answer

1097300

2026-08-01 09:50

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109/171 as a fraction means '171 divided into 109' .

Two methods.

#1 Long division.

#2 Calculator ; type in in '109' , 'divide sign', '171', '=' The answer should 'pop up on the screen ' '0.6374269...'.

Back to # 1. Long Division is a much is a much more tedious process.

Set up division bracket

  1. 109.000000 ( 0.

Notice the decimal point and the 'string of 'zeroes'.

We say ' '171' into '109' will not go. So zero in the answer followed by decimal point.

Hence

171 ) 1090.00000 ( 0.

Then we we say '171' into '1090' foes '6' times ( 171 x 6 = 126) we then with a remainder of 64.

Hence we then track down the next zero so the remainder reads, 1260 . Then we we say '171' into '1260' goes '7' times ( 171 x 7 = 1197) we then with a remainder of 63.

171 ) 1090.0000 = 0.67

proceed in this manner until there is no remainder. NB However, the answer may be an irrational number, in which case the long division never ends

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