Converting Repeating Decimals To Fractions Worksheet. New york state common core math grade 8 module 7 lesson 10. Create another equation by multiplying both 10x 8 3333.
Subtract the equations from one another. Sides of the original equation by a different power of 10. For example x 0 4444.
Examples solutions and videos to help grade 8 students know the intuitive reason why every repeating decimal is equal to a fraction and how to convert a decimal expansion that eventually repeats into a fraction.
Examples solutions and videos to help grade 8 students know the intuitive reason why every repeating decimal is equal to a fraction and how to convert a decimal expansion that eventually repeats into a fraction. Then multiply both sides of the equation by 10 1 since there s just 1 repeating digit in your original number to get 10x 4 4444. Some simple decimal numbers are quite easy to convert into a fraction. This moves the repeating digit 3 to the left 100x 83 333.
