FANDOM


Converting multi-digit repeating decimals to fractions
Converting repeating decimals to fractions 2 256
Description
Exercise Name: Converting multi-digit repeating decimals to fractions
Math Missions: 8th grade (U.S.) Math Mission, Algebra I Math Mission, Mathematics II Math Mission
Types of Problems: 1

The Converting multi-digit repeating decimals to fractions exercise appears under the 8th grade (U.S.) Math Mission, Algebra I Math Mission and Mathematics II Math Mission. This exercise practices converting between repeating decimals and their corresponding fraction form.

Types of Problems

There is one type of problem in this exercise:

  1. Change into a fraction: This problem provides a repeating decimal. The user is asked to take the repeating decimal and change it into a fraction.
    Cmdrdtf1

    Change into a fraction

Strategies

Knowing how to convert quickly from fractions into decimal can provide insight here for how to work backwards.

  1. A decimal that repeats over n-spots will be an "over  {10^n-1} " answer. For example, {0.232323... = \frac{23}{99}}.
  2. The fraction answers need to be simplified, so {\frac{1}{3}} is correct but {\frac{3}{9}} is not.

Real-life applications

  1. Connections between fractions and decimals help in many scientific approximation applications.

Ad blocker interference detected!


Wikia is a free-to-use site that makes money from advertising. We have a modified experience for viewers using ad blockers

Wikia is not accessible if you’ve made further modifications. Remove the custom ad blocker rule(s) and the page will load as expected.