Complex Fractions Worksheet 7th Grade Pdf Complex Fractions Date Period Simplify each expression 1 4 3 4 3 2 2 1 4 5 4 4 3 c 0AHlYlt 6r ji3g0h 6t9sp crce3sLeyr nvUeDdl Z h qM 4a zd cew Mwqi WtBh7 KIhn ZfBi qn TigtmeS GAol3g4e Obnr ba4 G2I j Worksheet by Kuta Software LLC 7 9 9 x 2 3x 8 a2 4 5 4 a 9 x2 9 1 4 6x 10 a 8 4 a2 4 11 25 12 x 1 4 1
An hour compute the unit rate as the complex fraction e 1 3 6 Maya reads 1 8 of a newspaper in 1 20 of a minute How minutes does she need to read an entire paper f 4 7 Ellie used 1 6 of a liter of water to make 1 21 of a casserole How many liters of does she need to make an entire casserole g 1 5 8 Stella writes 1 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 Worksheet 7th Grade Pdf
Complex Fractions Worksheet 7th Grade Pdf
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O 13 for 3 inches of ribbon 4 4 per inch Complex Fractions to Unit Rate Coloring Page Directions Express each phrase as a unit rate Find the answer in one of the three answer boxes below the problem Find the problem number on the picture and color each sections with the color that corresponds to your solution Which is larger the numerator of the complex fraction or the denominator of the complex fraction The denominator so a quotient 1 is expected Let s work with the division problem in vertical form You may need to discuss how to check a division problem 5 3 18 1 1 3 3 1 5 3 6 3 5 6 So 5
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 7 5 Practice Complex Fractions Solve 1 1 1 x 1 1 x2 3 a 2 4 a a 5 1 a2 1 a 1 a2 1 a 7 2 4 x 2 5 10 x 2 9 3 2a 3 2 6 2a 3 4 11 x x 1 1 x x x 1 1 x 13 3 x 9 x2 15 a2 b2 4a2b a b 16ab2 17 1 3 x 10 x2 1 11 x 18 x2 19 1 2x 3x 4 x 32 3 x 4 21 x 1 2
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Complex fractions worksheets help us understand the concept of fractions with relevance to real life and how it is related to other topics of mathematics like ratio proportion decimals percentages etc Download Complex Fractions Worksheet PDFs These math worksheets should be practiced regularly and are free to download in PDF formats Possible Directions First two pages Copy enough for all students not back to back Go through the example as a whole class having students fill out the notes page as you go With the two practice problems you can complete it as a whole class or give time to try the two problems independently or with partners
Example 1 Simplify Solution To simplify the complex fraction we will follow the steps as outlined above We start by finding the LCD of all of the fractions in the expression In this case the LCD is clearly 4 Now we multiply numerator and denominator by the LCD of 4 as follows 4 So to multiply we remember that 4 is the same as A complex fraction is a fraction that has one or more fractions in the numerator and or denominator Ratios can compare fractional quantities to 1 other fractional quantities Look at Example A I am going to represent this ratio as 2 yards per 2 hour This ratio is an example of a complex fraction because it has a fraction in the 3
Complex Fractions Worksheet 7th Grade Pdf
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Complex Fractions Worksheet 7th Grade
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Complex Fractions Worksheet 7th Grade Pdf - 7 5 Practice Complex Fractions Solve 1 1 1 x 1 1 x2 3 a 2 4 a a 5 1 a2 1 a 1 a2 1 a 7 2 4 x 2 5 10 x 2 9 3 2a 3 2 6 2a 3 4 11 x x 1 1 x x x 1 1 x 13 3 x 9 x2 15 a2 b2 4a2b a b 16ab2 17 1 3 x 10 x2 1 11 x 18 x2 19 1 2x 3x 4 x 32 3 x 4 21 x 1 2