Chapter 2.II, Problem 28RE

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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

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

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