Working with unlike fractions Introducing Unlike fractions 3

Working with unlike fractions Introducing: • Unlike fractions 3 4 1 2

Compare Fractions 1 3 5 The fractions 4 and 8 have unlike denominators and unlike numerators. Fractions that have unlike denominators are unlike fractions.

Compare Fractions 2 3 5 To compare 4 and 8 , rename one or both fractions with like denominators making them like fractions. Then compare the numerators. In this case, 34 is renamed as 68 so that we can compare the numerator of 68 and 58.

If Anna is 12 of a mile away from the shore and Alo is 78 of a mile away from the shore, how much more does Anna need to reach Alo? 1 2 7 8

1 4 =4 X 2 4 8 Anna is 4 8 of a mile away from the shore. 7 - 4 =3 8 8 8 *So Anna needs to row 3 of a mile to reach Alo. 8

Compare Fractions 3 3 5 12 20 3 4 15 20 3 5 < The numerators are the same in give a larger fraction. 3 4 3 3 and 5 4 . The smaller denominator will

I’m going to say this again because it’s really important When the numerators are the same, the fraction with the smaller denominator is a larger number

Would you rather have ½ or ¼ ? When the numerators are the same, the fraction with the smaller denominator is a larger number

Compare Fractions 4 2 2 The fractions 5 and 3 have the same numerator. The denominator 5 in the 2 fraction 5 means that the unit has more parts, making the parts smaller. Therefore, 25 is smaller than 23.

Compare Fractions 5 The larger the denominator the smaller the fraction.

Saki and Hachi packed buffalo hides in a cart. 1 Saki filled 10 of the cart 2 while Hachi filled 5 of the cart. How much of the cart is filled? 2 4 2 = X 2 10 5 5 1 4 + = 10 10 10

5 10 Hachi and Saki filled up of the cart with 1 hides, which can be simplified to 2. 1 2

Compare Fractions 6 Another method for comparing is to think of the fractions. In this example 1 7 1 it is obvious that 3 is smaller than 8. For one thing, 1 is smaller than 2 3 1 and 78 is larger than 2.

Compare Fractions 7 Being able to compare fractions by picturing them in your mind will help you arrive at an answer more quickly than with calculation. As mentioned before, as the numerator increases it means that you have selected more parts. As the denominator increases it means that the parts are smaller. Which is larger, 5 or 7 ? 8 16

Compare Fractions 8 5 8 is larger. It takes practice, but being able to estimate by visualizing the fraction (number sense) will help you to understand fractions better.

Tasina and Hoksinato went on a hunt for buffalo but they were surrounded by a group of snakes. 1 To protect themselves, Tasina shot 4 of the snakes while Hoksinato shot 3 of the snakes. How many snakes 8 did Tasina and Hoksinato kill? 1 4 2 2 x 3 8 2 + 8 = 2 8 5 = 8

• Tasina and Hoksinato shot of the snakes. 5 8