Math and Dosage Calculations for Health Care 3rd Edition by James Whaley, Kathryn Booth, Booth Kathryn

Question

Math and Dosage Calculations for Health Care 3rd Edition by James Whaley, Kathryn Booth, Booth Kathryn

Edition 3ISBN: 9780077290498

Math and Dosage Calculations for Health Care 3rd Edition by James Whaley, Kathryn Booth, Booth Kathryn

Edition 3ISBN: 9780077290498

Exercise 2

Find the least common denominator for each set of fractions, and then use the common denominator to write equivalent fractions. $Find the least common denominator for each set of fractions, and then use the common denominator to write equivalent fractions.$

Explanation

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A common denominator is any number which is a multiple of all the denominators in a group of fractions.
To find the LCD of $A common denominator is any number which is a multiple of all the denominators in a group of fractions. To find the LCD of . List the common multiples of the denominators in the fraction. Take the number 4. The first few multiples of 4 are 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56 and 60. Now, take the number 6. The first few multiples of 6 are 6, 12, 18, 24, 30 and 36. The numbers 12, 24 and 36 appear on all the lists. These are common denominators. 12 is the smallest in the list. Hence the LCD is 12. Now, convert both the fractions into equivalent forms with the LCD as the denominator. Divide the LCD by the denominator of the fraction. Multiply the denominator of the fraction with a quotient obtained above. That is, Hence . Similarly, Hence .$ .
List the common multiples of the denominators in the fraction.
Take the number 4. The first few multiples of 4 are 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56 and 60.
Now, take the number 6. The first few multiples of 6 are 6, 12, 18, 24, 30 and 36.
The numbers 12, 24 and 36 appear on all the lists. These are common denominators.
12 is the smallest in the list. Hence the LCD is 12.
Now, convert both the fractions into equivalent forms with the LCD as the denominator.
Divide the LCD by the denominator of the fraction.
Multiply the denominator of the fraction with a quotient obtained above.
That is, $A common denominator is any number which is a multiple of all the denominators in a group of fractions. To find the LCD of . List the common multiples of the denominators in the fraction. Take the number 4. The first few multiples of 4 are 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56 and 60. Now, take the number 6. The first few multiples of 6 are 6, 12, 18, 24, 30 and 36. The numbers 12, 24 and 36 appear on all the lists. These are common denominators. 12 is the smallest in the list. Hence the LCD is 12. Now, convert both the fractions into equivalent forms with the LCD as the denominator. Divide the LCD by the denominator of the fraction. Multiply the denominator of the fraction with a quotient obtained above. That is, Hence . Similarly, Hence .$ Hence $A common denominator is any number which is a multiple of all the denominators in a group of fractions. To find the LCD of . List the common multiples of the denominators in the fraction. Take the number 4. The first few multiples of 4 are 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56 and 60. Now, take the number 6. The first few multiples of 6 are 6, 12, 18, 24, 30 and 36. The numbers 12, 24 and 36 appear on all the lists. These are common denominators. 12 is the smallest in the list. Hence the LCD is 12. Now, convert both the fractions into equivalent forms with the LCD as the denominator. Divide the LCD by the denominator of the fraction. Multiply the denominator of the fraction with a quotient obtained above. That is, Hence . Similarly, Hence .$ .
Similarly, $A common denominator is any number which is a multiple of all the denominators in a group of fractions. To find the LCD of . List the common multiples of the denominators in the fraction. Take the number 4. The first few multiples of 4 are 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56 and 60. Now, take the number 6. The first few multiples of 6 are 6, 12, 18, 24, 30 and 36. The numbers 12, 24 and 36 appear on all the lists. These are common denominators. 12 is the smallest in the list. Hence the LCD is 12. Now, convert both the fractions into equivalent forms with the LCD as the denominator. Divide the LCD by the denominator of the fraction. Multiply the denominator of the fraction with a quotient obtained above. That is, Hence . Similarly, Hence .$ Hence $A common denominator is any number which is a multiple of all the denominators in a group of fractions. To find the LCD of . List the common multiples of the denominators in the fraction. Take the number 4. The first few multiples of 4 are 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56 and 60. Now, take the number 6. The first few multiples of 6 are 6, 12, 18, 24, 30 and 36. The numbers 12, 24 and 36 appear on all the lists. These are common denominators. 12 is the smallest in the list. Hence the LCD is 12. Now, convert both the fractions into equivalent forms with the LCD as the denominator. Divide the LCD by the denominator of the fraction. Multiply the denominator of the fraction with a quotient obtained above. That is, Hence . Similarly, Hence .$ .