Section 1.1 Fractions 15 Adding and Subtracting Fractions Example 10 Simplify. Solution: To find the LCD, we have: LCD 2 2 3 12 Add and subtract the numerators. Simplify to lowest terms. 5 12 3 4 5 12 5 12 5 12 1 2 3 4 3 3 4 3 9 12 5 9 6 8 12 2 3 12 6 12 1 2 1 6 2 6 Skill Practice Add. 16. 2 3 1 2 5 6 7. Operations on Mixed Numbers Recall that a mixed number is a whole number added to a fraction. The number 12 represents the sum of three wholes plus a half, that is, For 12 this reason, any mixed number can be converted to an improper fraction by using addition. 12 3 3 1 2 6 2 1 2 7 2 3 3 12 3 . Answer 16. 2 2’s 3’s 12 2 2 3 4 2 2 2 2 Write each fraction as an equivalent fraction with the LCD as its denominator. TIP: A shortcut to writing a mixed number as an improper fraction is to multiply the whole number by the denominator of the fraction. Then add this value to the numerator of the fraction, and write the result over the denominator. Multiply the whole number by the denominator: Add the numerator: Write the result over the denominator: 72 3 3 2 6 6 1 7 12 To add, subtract, multiply, or divide mixed numbers, we will first write the mixed number as an improper fraction.
miller_beginning_intermediate_algebra_4e_ch1_3
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