TEKS 3.3H Worksheets — Grade 3 Compare two fractions having the same numerator

Mateo went to a wildlife park in Texas where he saw some birds. He saw 3/4 of the birds in the first area and 1/4 of the birds in the second area. How much of the total birds did Mateo see?

1. 1 ✓
2. 1/2
3. 2/4
4. 3/4

Why: To find out how much of the total birds Mateo saw, we add the two fractions. He saw 3/4 of the birds in the first area and 1/4 of the birds in the second area. We can add these two fractions: 3/4 + 1/4 = 4/4, which equals 1 whole. Therefore, the correct answer is 1.

Natalia is making peach cobbler for her family's picnic in Texas. She needs 1/2 cup of sugar for one cobbler and 1/4 cup for another cobbler. How much sugar does Natalia need in total for both cobblers?

1. 3/4 cup ✓
2. 1 cup
3. 1/2 cup
4. 1/8 cup

Why: To find the total amount of sugar Natalia needs, we add the two amounts together: 1/2 + 1/4. First, we convert 1/2 to 2/4 so that both fractions have the same denominator. Then we add: 2/4 + 1/4 = 3/4. Therefore, Natalia needs 3/4 cup of sugar for both cobblers.

Maria is making fruit smoothies for her friends at a picnic in Central Texas. She has 4 cups of strawberries and 4 cups of blueberries. If she uses 1/4 of the strawberries and 1/4 of the blueberries for each smoothie, how much fruit will she use altogether for one smoothie? Use the information to compare the fractions.

1. 1/2 ✓
2. 1/4
3. 1/8
4. 3/4

Why: For one smoothie, Maria uses 1/4 cup of strawberries and 1/4 cup of blueberries. To find the total amount of fruit used, we add the fractions: 1/4 + 1/4 = 2/4, which simplifies to 1/2. Therefore, the correct answer is 1/2.

Carolina is exploring Big Bend National Park, where she is measuring the lengths of different hiking trails. She walks 1/3 of the way on one trail and 1/4 of the way on another trail. Which trail did she walk further?

1. 1/3 ✓
2. 1/4
3. both trails equally
4. neither trail

Why: To determine which fraction is larger, we compare 1/3 and 1/4. Since both fractions have different denominators, we can find a common denominator. The common denominator for 3 and 4 is 12. Converting both fractions, 1/3 becomes 4/12 and 1/4 becomes 3/12. Since 4/12 is greater than 3/12, Carolina walked further on the 1/3 trail.

Andrea is helping her family at their ranch in Texas. They want to divide a large field into two sections. One section will be 1/2 of the field, and the other section will be 1/4 of the field. Which section is larger?

1. 1/2 ✓
2. 1/4
3. They are equal
4. None of the above

Why: To compare the two fractions, we can see that 1/2 is greater than 1/4. When the same denominator is used, 1/2 equals 2/4 and 1/4 is just 1/4. Therefore, the section that is 1/2 of the field is larger.

Lucas and his family are making tamales for a family gathering in Texas. They have prepared 3/4 of a batch of spicy chicken tamales and 1/4 of a batch of cheese tamales. How much of the total batch of tamales have they prepared?

1. 1 ✓
2. 2/4
3. 3/4
4. 1/2

Why: To find the total amount of tamales prepared, we add the fractions 3/4 and 1/4. When we put these together, we have 3/4 + 1/4 = 4/4, which is equal to 1 whole batch of tamales. Therefore, the correct answer is 1.

Ximena is making fruit smoothies to sell at her stand in Houston. For each smoothie, she uses 1/2 cup of pineapple and 1/4 cup of mango. How much fruit does she use for one smoothie?

1. 3/4 cup ✓
2. 1/4 cup
3. 1/2 cup
4. 1 cup

Why: To find the total amount of fruit used for one smoothie, we add the amounts of pineapple and mango. Ximena uses 1/2 cup of pineapple and 1/4 cup of mango. To add these fractions, we need a common denominator, which is 4. The equivalent of 1/2 is 2/4. Now we add: 2/4 + 1/4 = 3/4. Therefore, Ximena uses 3/4 cup of fruit for one smoothie.

Carolina and her friends are having a picnic in the Bluebonnet fields of Texas. They divided a large pizza into 8 equal slices. If they have eaten 5 slices, what fraction of the pizza is left for them to share?

1. 3/8 ✓
2. 5/8
3. 1/8
4. 6/8

Why: Carolina and her friends started with a whole pizza divided into 8 slices. If they ate 5 slices, we can find out how many slices are left by subtracting 5 from 8. So, 8 - 5 = 3 slices are remaining. To find the fraction of the pizza left, we compare the remaining slices to the total slices: 3 slices left out of 8 total slices. Therefore, the fraction of the pizza left is 3/8.