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MATH / When converting (31)/(11111) to a decimal, the decimal turns out to be a repeating decimal. How many digits repeat in this repeating decimal? For example, if you get the repeating …

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problem

When converting 3111111\frac{31}{11111} to a decimal, the decimal turns out to be a repeating decimal. How many digits repeat in this repeating decimal? For example, if you get the repeating decimal 0.123¯,0.\overline{123}, then your answer should be 3,3, and if you get 0.4367¯,0.436\overline{7}, your answer should be 1.1.
Plain-text mathematical notation (without MathML)
When converting (31)/(11111) to a decimal, the decimal turns out to be a repeating decimal. How many digits repeat in this repeating decimal?

For example, if you get the repeating decimal 0.(123)¯, then your answer should be 3, and if you get 0.436(7)¯, your answer should be 1.
Original LaTeX notation
When converting $\frac{31}{11111}$ to a decimal, the decimal turns out to be a repeating decimal. How many digits repeat in this repeating decimal?

For example, if you get the repeating decimal $0.\overline{123},$ then your answer should be $3,$ and if you get $0.436\overline{7},$ your answer should be $1.$

level

Level 4

type

Prealgebra

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Source and history

task_id
87828420-a46e-538f-b7d0-2c390c672c28
task_key
prealgebra--test--87828420-a46e-538f-b7d0-2c390c672c28
task_revision_id
1
config / split
prealgebra / test

Official source

initial import