Chapter 2.II, Problem 27RE

BuyFind*arrow_forward*

8th Edition

Robert Brechner + 1 other

ISBN: 9781305585447

Textbook Problem

Subtract the following fractions and reduce to lowest terms.

To determine

**To calculate:** The value of

Explanation

**Given information:**

**Formula used:**

Use the following steps for subtraction of the mixed fractions.

Step1: If the fractions of the mixed numbers have the same denominator subtract the fractions and reduce to the lowest terms.

Step2: Now if the fractions do not have the same denominator, raise them to the denominator of Least Common Denominator (LCD) and subtract. Also, when the numerator of the fraction in the minuend is less than the numerator in the subtrahend then borrow one whole unit from the whole number of the minuend which will be in the form of LCD and is added to the fraction of the minuend.

Step3: Subtract the whole numbers.

Step4: Add the difference of the whole numbers and the difference of the fractions.

Now use the following steps for determining the least common denominator of two or more fractions with the use of prime number are,

Step1: Write all the denominators in a row.

Step2: Now find a prime number that divides evenly into any of the denominators and then write that prime number to the left of the row and divide while placing all quotients and undivided numbers in the next row down.

Step3: Repeat the above process until new row contains all ones.

Step4: Multiply all the prime numbers on the left to get the LCD of the fractions.

**Calculation:**

Consider the following fraction,

As these are unlike fractions and they must be converted to obtain the same denominator so find the LCD.

The Least Common Denominator (LCD) is

Then,

Now, subtract the fractions and convert the fraction into mixed if it is improper

Sect-2.I P-1TIESect-2.I P-2TIESect-2.I P-3TIESect-2.I P-4TIESect-2.I P-5TIESect-2.I P-6TIESect-2.I P-1RESect-2.I P-2RESect-2.I P-3RESect-2.I P-4RE

Sect-2.I P-5RESect-2.I P-6RESect-2.I P-7RESect-2.I P-8RESect-2.I P-9RESect-2.I P-10RESect-2.I P-11RESect-2.I P-12RESect-2.I P-13RESect-2.I P-14RESect-2.I P-15RESect-2.I P-16RESect-2.I P-17RESect-2.I P-18RESect-2.I P-19RESect-2.I P-20RESect-2.I P-21RESect-2.I P-22RESect-2.I P-23RESect-2.I P-24RESect-2.I P-25RESect-2.I P-26RESect-2.I P-27RESect-2.I P-28RESect-2.I P-29RESect-2.I P-30RESect-2.I P-31RESect-2.I P-32RESect-2.I P-33RESect-2.I P-34RESect-2.I P-35RESect-2.I P-36RESect-2.I P-37RESect-2.I P-38RESect-2.I P-39RESect-2.I P-40RESect-2.I P-41RESect-2.I P-42RESect-2.I P-43RESect-2.I P-44RESect-2.II P-7TIESect-2.II P-8TIESect-2.II P-9TIESect-2.II P-10TIESect-2.II P-11TIESect-2.II P-12TIESect-2.II P-13TIESect-2.II P-1RESect-2.II P-2RESect-2.II P-3RESect-2.II P-4RESect-2.II P-5RESect-2.II P-6RESect-2.II P-7RESect-2.II P-8RESect-2.II P-9RESect-2.II P-10RESect-2.II P-11RESect-2.II P-12RESect-2.II P-13RESect-2.II P-14RESect-2.II P-15RESect-2.II P-16RESect-2.II P-17RESect-2.II P-18RESect-2.II P-19RESect-2.II P-20RESect-2.II P-21RESect-2.II P-22RESect-2.II P-23RESect-2.II P-24RESect-2.II P-25RESect-2.II P-26RESect-2.II P-27RESect-2.II P-28RESect-2.II P-29RESect-2.II P-30RESect-2.II P-31RESect-2.II P-32RESect-2.II P-33RESect-2.II P-34RESect-2.II P-35RESect-2.III P-14TIESect-2.III P-15TIESect-2.III P-16TIESect-2.III P-1RESect-2.III P-2RESect-2.III P-3RESect-2.III P-4RESect-2.III P-5RESect-2.III P-6RESect-2.III P-7RESect-2.III P-8RESect-2.III P-9RESect-2.III P-10RESect-2.III P-11RESect-2.III P-12RESect-2.III P-13RESect-2.III P-14RESect-2.III P-15RESect-2.III P-16RESect-2.III P-17RESect-2.III P-18RESect-2.III P-19RESect-2.III P-20RESect-2.III P-21RESect-2.III P-22RESect-2.III P-23RESect-2.III P-24RESect-2.III P-25RESect-2.III P-26RESect-2.III P-27RESect-2.III P-28RESect-2.III P-29RESect-2.III P-30RESect-2.III P-31RESect-2.III P-32RESect-2.III P-33RESect-2.III P-34RESect-2.III P-35RESect-2.III P-36RESect-2.III P-37RESect-2.III P-38RESect-2.III P-39RESect-2.III P-40RECh-2 P-1CRCh-2 P-2CRCh-2 P-3CRCh-2 P-4CRCh-2 P-5CRCh-2 P-6CRCh-2 P-7CRCh-2 P-8CRCh-2 P-9CRCh-2 P-10CRCh-2 P-11CRCh-2 P-12CRCh-2 P-13CRCh-2 P-14CRCh-2 P-1ATCh-2 P-2ATCh-2 P-3ATCh-2 P-4ATCh-2 P-5ATCh-2 P-6ATCh-2 P-7ATCh-2 P-8ATCh-2 P-9ATCh-2 P-10ATCh-2 P-11ATCh-2 P-12ATCh-2 P-13ATCh-2 P-14ATCh-2 P-15ATCh-2 P-16ATCh-2 P-17ATCh-2 P-18ATCh-2 P-19ATCh-2 P-20ATCh-2 P-21ATCh-2 P-22ATCh-2 P-23ATCh-2 P-24ATCh-2 P-25ATCh-2 P-26ATCh-2 P-27ATCh-2 P-28ATCh-2 P-29ATCh-2 P-30ATCh-2 P-31AT

Applied Calculus

Calculus: Early Transcendental Functions

Elementary Geometry For College Students, 7e

Calculus (MindTap Course List)

Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

Essentials Of Statistics

Intermediate Algebra

Calculus: An Applied Approach (MindTap Course List)

Multivariable Calculus

Mathematical Applications for the Management, Life, and Social Sciences

Single Variable Calculus: Early Transcendentals, Volume I

Statistics for The Behavioral Sciences (MindTap Course List)

Probability and Statistics for Engineering and the Sciences

Elementary Technical Mathematics

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

Precalculus: Mathematics for Calculus (Standalone Book)

Finite Mathematics

Single Variable Calculus

Mathematical Excursions (MindTap Course List)

Calculus: Early Transcendentals

Understanding Basic Statistics

Finite Mathematics and Applied Calculus (MindTap Course List)

Calculus: Early Transcendental Functions (MindTap Course List)

Single Variable Calculus: Early Transcendentals

Trigonometry (MindTap Course List)

Elements Of Modern Algebra

Calculus of a Single Variable

Finite Mathematics for the Managerial, Life, and Social Sciences

Study Guide for Stewart's Multivariable Calculus, 8th

Elementary Geometry for College Students

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

College Algebra (MindTap Course List)

Statistics for Business & Economics, Revised (MindTap Course List)

Research Methods for the Behavioral Sciences (MindTap Course List)

STATISTICS F/BUSINESS+ECONOMICS-TEXT

Multivariable Calculus

Research Methods for the Behavioral Sciences (MindTap Course List)

Mathematics For Machine Technology

Calculus (MindTap Course List)

Introduction To Statistics And Data Analysis