Nursing Preparation Study Guide

Nursing Preparation Study Guide

Example Question What is the sum of < = + < <8 ? a. > 8? b.

Solution The LCD of 8 and 12 is 24. 1 × 3 8 × 3 + 1 × 2 12 × 2 = 3 24 + 2 24 = 3 + 2 24 = 5 24 Therefore the answer is A.

8 <8 c. 8 = d. > <8

3.2.2 Multiplication of Fractions First convert any mixed numbers to improper fractions. Then, simplify the factors in the numerator (the top number in the fraction) with factors in the denominator (the bottom number of the fraction). Lastly, multiply the numerators together and the denominators together. Be sure that the fraction is simplified (the only common factor between the numerator and the denominator is 1). When working with word problems keep in mind that the word “of” usually signifies multiplication. 3.2.3 Division of Fractions First convert mixed numbers to improper fractions. Keep the first fraction as it is written, but change the division sign to a multiplication sign. Flip the second fraction (switch the numerator and denominator). Simplify factors in the numerator with factors in the denominator. Lastly, multiply the numerators together and the denominators together. Be sure that the fraction is in simplest form. Example Simplify the expression: 2 > = × 3 < B Since there are mixed numbers, change them to improper fractions: 2 > = = 8×=C> = = 8< = and 3 < B = D×BC< B = 88 B so the problem then becomes 8< = × 88 B These fractions can be simplified by dividing 7 into both the numerator of 21 and the de- nominator of 7 and by dividing 2 into the numerator of 22 and the denominator of 8. This leaves D×<< ?×< D×<< ?×< = DD ? or 8 < ? This fraction is in simplest form since the numerator and denominator have no common factors other than 1.

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