Grade 3

Theory: 

Comparing Fractions with Different Denominators

When fractions with the same numerator but different denominators are compared, we have the same number of pieces. If one denominator is larger, then the object was divided into more pieces so each piece would be smaller.

Only the denominators need to be compared to tell whether one fraction is larger, smaller or the same as another fraction with the same numerator

One denominator is either greater than, less than or equal to the other denominator. The fraction that has the largest denominator with the same numerator is the smallest fraction.

The fraction with the smaller denominator but the same numerator is larger. If both the numerators and denominators are the same, then the fractions are equal to each other.

Solutions from the Previous Issue:

Complete the followings identities:

1.        9 – 1 = 8 + ?              Solution: 9 – 1 = 8 + 0 

2.        4 + 1 = 6 – ?              Solution: 4 + 1 = 6 – 1

3.        ? + 1 = 3 – 1              Solution: 1+ 1 = 3 – 1

4.        8 – 1 = 7 + 0             

5.        5 + 1 = 7 – 1             

6.        9 - ? = 1 + 7           Solution:  9 - 1 = 1 + 7

7.        ? + 2 = 3 – 1              Solution:  0 + 2 = 3 – 1

8.        2 + ? = 1 + 1              Solution:  2 + 0 = 1 + 1

9.        ( 6 x ? ) – 18 = 36        Solution:  ( 6 x 9 ) – 18 = 36

10.     81 – (9 x ?) = 9          Solution:  81 – (9 x 8) = 9 

 Proposed Exercises:

1.        Tickets went on sale for the school play. A total of 944 tickets were available for sale. 232 were sold during the first week and 223 were sold during the second week. How many tickets were sold in the first two weeks?

2.        The weather bureau recorded that it rained 7, 6, 4, 5, 11, and 9 inches from January to June. What was the total amount of rain during this period?

3.        Jill delivered 186 letters on Monday, 343 letters on Tuesday, and 244 letters on Wednesday. How many letters did Jill deliver?

4.        This summer Jane and Greg joined the reading club. So far, Jane has read twenty-two books and Greg has read thirteen books. The club requires them to read seventy books each. How many more books does Jane need to read?