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Simplifying Complex Fractions Worksheet
Complex Fractions Date_____ Period____ Simplify each expression. 1) 4 3 4 − 3 2 − 16 3 2). Create your own worksheets like this one with Infinite Algebra 2. Free trial available at KutaSoftware.com. Title: Complex Fractions Author: Mike Created Date: 7/17/2012 9:18:49 AM. Create here an unlimited supply of worksheets for simplifying complex fractions — fractions where the numerator, the denominator, or both are fractions/mixed numbers. The worksheets are meant for the study of rational numbers, typically in 7th or 8th grade math (pre-algebra and algebra 1). Basic instructions for the worksheets Rational Expressions - Complex Fractions Objective: Simplify complex fractions by multiplying each term by the least common denominator. Complex fractions have fractions in either the numerator, or denominator, or usu-ally both. These fractions can be simplified in one of two ways. Complex Fractions Name_____ Date_____ ©u i2e0l1O7i _KTuBtYaZ OSvoMfQtWwiaUrmeE lLFLDC\.N _ RA^lXlY DrciRgnhatTs] UrBedskeirovEexdx. -1-Simplify each expression.. Worksheet by Kuta Software LLC-3-9) x x - 2 - 2x + 5 36 x - 2 x2 - 6 x 35x3 - 2x4 + 10x2-180x2 + 288x + 144 10) 2x - 5 x2 + 3 x2 3 x - 4 + 9 2x - 5 4x3 - 30x2 + 66x - 40 15x3 - 51x2
(PDF) Lecture Notes Complex Fractions page 1 Sample Problems lalaine
Simplify complex fractions Google Classroom Which expression is equivalent to the following complex fraction? d 4 3 d Choose 1 answer: d 4 ⋅ d 3 A d 4 ⋅ d 3 3 d ⋅ d 4 B 3 d ⋅ d 4 None of the above C None of the above Stuck? Review related articles/videos or use a hint. Report a problem Do 7 problems A complex fraction is simplified when it no longer contains fractions in the numerator and denominator, and when it is fully reduced. We have a three step process for simplifying complex fractions. It is given below. Simplifying Complex Fractions Find the LCD of all the fractions in the expression. Multiply numerator and denominator by the LCD. V Worksheet by Kuta Software LLC Algebra 2 Name_____ Date_____ Period____ ©U 82E0Q1Z1J eKhuCtEar mSSoRfCt8wSahr6e0 oLpL ACY.1 V IA Eldl p YrDicg Fh4tks i PrDegs Aeur ZvRe7d3.S. Complex Fractions Simplify each expression. 1) 2 m 1 8 2) 1 2 x2 4 3) m 9 16 m2 4) x − 5 5 x2 5 5) x + 1 4 2 x + 1 6) x 16 4x 25 7) m 5 m2 3m + 4 8) 5 u 1 5-1-©U. Step 1. Step 2. Step 3. Simplify the numerator and the denominator of the complex fraction so that each is a single fraction. Perform the indicated division by multiplying the numerator of the com-plex fraction by the reciprocal of the denominator of the complex fraction. Simplify if possible. EXAMPLE 1
Algebra 2 Worksheets Rational Expressions Worksheets
Get Started Complex Fractions Worksheets A complex fraction can be defined as a fraction in which the denominator and numerator or both contain fractions. Here are the steps to solve complex fractions. Find the LCM (Least Common Multiple) of all the denominators in the complex fractions. Complex fraction: a fraction which has rational expressions in the numerator and/or denominator − o 2 2− 4 2 + 2 2 − Steps for Simplifying Complex Fractions simplify the numerator and/or the denominator by adding and/or subtracting the rational expressions use the procedure for dividing fractions to change division to multiplication
Simplifly as needed. Simplifying Complex Fractions - Example 1: Simplify: \ (\frac {\frac {3} {5}} {\frac {2} {25}- \frac {5} {16}}\) Solution: First, simplify the denominator: \ (\frac {2} {25} - \frac {5} {16}=-\frac {93} {400}\), Then: \ (\frac {\frac {3} {5}} {\frac {2} {25} - \frac {5} {16} }=\frac {\frac {3} {5}} {-\frac {93} {400} }\) Method 1 Key steps: Create a single fraction in the numerator and denominator. Apply the division rule of fractions by multiplying the numerator by the reciprocal or inverse of the denominator. Simplify, if necessary. Method 2 Key steps: Find the Least Common Denominator (LCD) of all the denominators in the complex fractions.
Simplifying complex fractions,2
Complex Fractions Worksheet. Simplify. 1 a. 11: 4 Simplify the division problem that remains. Let's follow this outline to simplify the complex fraction (1). First, add the fractions in the numerator as follows. 1 2 + 1 3 = 3 6 + 2 6 = 5 6. Secondly, add the fractions in the denominator as follows. 1 4 + 2 3 = 3 12 + 8 12 = 11 12.
