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# Operations with Fractions

Blaise Pascal The French mathematician had been involved in imaginative and subtle work in geometry and other branches of mathematics. In 1645, Pascal invented the first calculating machine and sold it. His work in hydrostatics led to the invention of the
by

## Victoria Meeker

on 24 January 2013

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#### Transcript of Operations with Fractions

BY: Holly, Vanessa and Victoria 3.1 Using Models to multiply Fractions and Whole Numbers Blaise teaches you how! Hi, my name is Blaise Pascal. I invented one of the first mechanical calculators: the pascaline. 1. Write a multiplication statement for each set of fraction circles. Then find each product. 3.2 using models to multiply fractions 1. 3.3 Multiplying fractions 3.4 Multiplying mixed numbers 1. Write each mixed number as an improper fraction. 1623 Born in Clermont on June 19

1631 Moved to Paris

1636 Proved the 32-nd proposition of Euclid

1641 Designed a calculating machine the Pascaline to be completed in 1653

1650 Pascal suddenly abandoned his favorite pursuits to study religion

1653 Returned from his religious studies to administer his father's estate

1662 died at Paris on August 19 = A) B) = 2. Multiply.
A) 3x B) 12x A) B) 12x7
1 9 Vanessa went to Galaxy Land at West Edmonton Mall. She took \$28 with her. She spend 4/7of her money on the rides. How much money did Vanessa spend on rides? 3. Find each product. A) 3x5 4 8 B) 4x9
2 5 2. A) Shade the rectangle to find each product. 1x3 2 4 B) 2x1 5 2 A) B) = 3/8 =2/10 =1/5 3. Noah used 5/8 of the money he had saved to buy a DVD player and 4 DVDS. The cost of the DVD player was 2/5 of the amount he spent. What fraction of his savings did Noah spend on the DVD player. 5 2 8 5 x = 5 2 8 5 x = 4 = 4x1 1 2 2
1 = = 5x1 1 4 = 1 5x 4x 1 2 5 4 3x 4 5 4 5 = 3x4 1 5 = 12 5 12x 7 9 = 7 9 84 9 = = 16 1 She spent \$16 = 15 32 = 36 10 Find the common factors of each pair of numbers. A) 14,21 B)10,15 C)6,9 A) 7 B) 5 C) 3 2. 3x2 5 x 7 Shade the rectangles to find the product. 9 1 3 = 2 2 5 = 18 5 = = 1. = = 6
35 3. The sum of two fractions is 7/12. The product of the same two fractions is 1/12. What are the two fractions? 1 1
4 3 x = 1
12 1
4 1
3 + = 7
12 12 3 + 4 = 7 28 x 4 = 28 1 4 7 x 1 4 2 8 A) 2 3/10 B)4 1/8 C)3 5/9 A)23/10 B)33/8 C)23/9 2. Use estimation. Which number is each product closer to? A)2 1/8 x 3 3/4 CLOSEST TO: 6 or 8
B)3 5/9 x 1 5/6 CLOSEST TO: 6 or 8