How do you write 3/7 as a terminating or repeating

Dowqueuestbew1j

Dowqueuestbew1j

Answered question

2022-01-17

How do you write 3/7 as a terminating or repeating decimal?

Answer & Explanation

rodclassique4r

rodclassique4r

Beginner2022-01-18Added 37 answers

There are several formats for indicating a repeating decimal.
(You may want to check the form your instructor likes).
37 expressed as a decimal fraction is a repeating decimal with a fairly long (7 digit) pattern before repeating (you can verify this by long division.
One form of expressing this repeating pattern is
37=0.428571[428571]
macalpinee3

macalpinee3

Beginner2022-01-19Added 29 answers

Just do a manual long division of 3 by 7. After 6 decimals the step reminder is 3 and so the sequence repeats.
(Is manual long division still taught in schools? Or do calculators rule?)
BTW, 1/7 and it’s multiples form a pretty, circular pattern.
17=0.142857 reccuring
27=0.285714 recurring
37=0.428571 reccurring
47=0.571428 recurring
57=0.714285 reccurring
67=0.857142 reccurring.
(77=0.999999 reccurring=1)
alenahelenash

alenahelenash

Expert2022-01-24Added 556 answers

7 is greater as 3 so the first digit of the decimals is zero the remainder is 3 and we add comma to the result and a 0 to the 3, now 7 in 30 is 4 and 2 remainder, 207=2R6,607=8R4,407=5R5,507=7R1,107=1R3, so 37=0.4285714285714...

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