/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 299 In the following exercises, writ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 12: Q. 299 (page 1219)

In the following exercises, write each repeating decimal as a fraction.

0.36炉

Short Answer

Expert verified

The repeating decimal as a fraction is411

Step by step solution

01

Step 1. Given information

The given repeating decimal is0.36炉

02

Step 2. Use place value to write this as a sum.

0.36炉=0.36363636...=0.36+0.0036+0.000036+0.00000036+...

This is the sum of infinite series of G.P.

03

Step 3. Write the repeating decimal as a fraction.

We will find the sum of infinite G.P. to write the repeating decimal as a fraction.

a=0.36r=0.00360.36r=0.01

So the sum is

S=a1-rS=0.361-0.01S=0.360.99S=3699S=411

Therefore, the repeating decimal as a fraction is411.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

In the following exercises, write the first five terms of each geometric sequence with the given first term and common ratio.

a1=27andr=13

In the following exercises, find the indicated term of a sequence where the first term and the common ratio is given.

Finda13givena1=7andr=2.

Write the first five terms of the sequence whose general term is an=3n鈭�4

Find a general term for the sequence whose first five terms are shown. 鈭�3, 9, 鈭�27, 81, 鈭�243, ...

Find a general term for the sequence whose first five terms are shown.

11,14,19,116,125,鈥�
See all solutions

Recommended explanations on Math Textbooks

Mechanics Maths

Read Explanation

Statistics

Read Explanation

Geometry

Read Explanation

Pure Maths

Read Explanation

Decision Maths

Read Explanation

Calculus

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.