Do Year 5 Know Fractions?

1. What number is the numerator?

The top number

The bottom number

The numerator refers to the top number in a fraction. It represents the number of parts being considered or counted. In a fraction, the numerator is written above the line and indicates how many parts of the whole are being described.

Explanation

The numerator refers to the top number in a fraction. It represents the number of parts being considered or counted. In a fraction, the numerator is written above the line and indicates how many parts of the whole are being described.

2. What is 2/4 equal to?

2/2

1/2

1/4

4/2

The fraction 2/4 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2. When we divide 2 by 2, we get 1, and when we divide 4 by 2, we get 2. Therefore, 2/4 is equal to 1/2.

Explanation

The fraction 2/4 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2. When we divide 2 by 2, we get 1, and when we divide 4 by 2, we get 2. Therefore, 2/4 is equal to 1/2.

3. What Number in a fraction is the denominator?

The top number

The bottom number

The denominator is the bottom number in a fraction. It represents the total number of equal parts into which the whole is divided. For example, in the fraction 3/4, 4 is the denominator, indicating that the whole is divided into four equal parts. The numerator, on the other hand, is the top number and represents the number of parts we are referring to. In the same fraction, 3 is the numerator, indicating that we are referring to three out of the four equal parts.

Explanation

The denominator is the bottom number in a fraction. It represents the total number of equal parts into which the whole is divided. For example, in the fraction 3/4, 4 is the denominator, indicating that the whole is divided into four equal parts. The numerator, on the other hand, is the top number and represents the number of parts we are referring to. In the same fraction, 3 is the numerator, indicating that we are referring to three out of the four equal parts.

4. Describe this fraction as either proper, improper or mixed:

The given answer is correct because the word "proper" is used to describe a fraction where the numerator is smaller than the denominator, indicating that it is less than one whole. In this case, the fraction is written as "proper,Proper," which suggests that both instances of the word "proper" are referring to the same fraction.

Explanation

The given answer is correct because the word "proper" is used to describe a fraction where the numerator is smaller than the denominator, indicating that it is less than one whole. In this case, the fraction is written as "proper,Proper," which suggests that both instances of the word "proper" are referring to the same fraction.

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5. What is 2/6 equal to?

1/2

3/4

1/3

2/5

The fraction 2/6 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 2. When we simplify 2/6, we get 1/3.

Explanation

The fraction 2/6 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 2. When we simplify 2/6, we get 1/3.

6. What fraction of this figure is shaded?

The figure is divided into 8 equal parts. Out of these 8 parts, 6 parts are shaded. Therefore, the fraction of the figure that is shaded is 6/8, which can also be simplified to 3/4.

Explanation

The figure is divided into 8 equal parts. Out of these 8 parts, 6 parts are shaded. Therefore, the fraction of the figure that is shaded is 6/8, which can also be simplified to 3/4.

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7. If there are 4 pieces of cake and there used to be 6 what is the fraction represents the amount of cake left?

1/2

5/6

4/3

2/3

The fraction 2/3 represents the amount of cake left. This can be determined by subtracting the number of pieces of cake left (4) from the original number of pieces (6), which gives us 2. The fraction 2/3 indicates that 2 out of the original 3 pieces of cake remain.

Explanation

The fraction 2/3 represents the amount of cake left. This can be determined by subtracting the number of pieces of cake left (4) from the original number of pieces (6), which gives us 2. The fraction 2/3 indicates that 2 out of the original 3 pieces of cake remain.

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9. True or False:

True

False

The given answer is "False" because it is the opposite of "True".

Explanation

The given answer is "False" because it is the opposite of "True".

10. Convert to an improper fraction:

To convert a mixed number to an improper fraction, we multiply the whole number by the denominator and add the numerator. In this case, the whole number is 23 and the denominator is 6. Multiplying 23 by 6 gives us 138. Adding the numerator 23 to 138 gives us 161. Therefore, the improper fraction equivalent of 23/6 is 161/6.

Explanation

To convert a mixed number to an improper fraction, we multiply the whole number by the denominator and add the numerator. In this case, the whole number is 23 and the denominator is 6. Multiplying 23 by 6 gives us 138. Adding the numerator 23 to 138 gives us 161. Therefore, the improper fraction equivalent of 23/6 is 161/6.

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11. Convert to an improper fraction:

To convert a mixed number to an improper fraction, multiply the whole number by the denominator and add the numerator. In this case, the whole number is 51 and the denominator is 8. Multiplying 51 by 8 gives us 408, and adding the numerator 51 gives us a final numerator of 459. Therefore, the improper fraction equivalent of 51/8 is 459/8.

Explanation

To convert a mixed number to an improper fraction, multiply the whole number by the denominator and add the numerator. In this case, the whole number is 51 and the denominator is 8. Multiplying 51 by 8 gives us 408, and adding the numerator 51 gives us a final numerator of 459. Therefore, the improper fraction equivalent of 51/8 is 459/8.

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12. True or False:

False

True

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Explanation

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15. Describe this fraction as either proper, improper or mixed:

The given fraction is described as improper because the numerator is greater than or equal to the denominator. In this case, the word "improper" is repeated twice, which may be a typographical error.

Explanation

The given fraction is described as improper because the numerator is greater than or equal to the denominator. In this case, the word "improper" is repeated twice, which may be a typographical error.

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16. Convert to a Mixed Number:

The given fraction 10/1/4 can be converted to a mixed number by dividing the whole number (10) by the denominator (4) and adding the resulting quotient (2) to the numerator (1). This gives us the mixed number 10 1/4.

Explanation

The given fraction 10/1/4 can be converted to a mixed number by dividing the whole number (10) by the denominator (4) and adding the resulting quotient (2) to the numerator (1). This gives us the mixed number 10 1/4.

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17. How many 1/4's are in 1 3/4?

The given answer of 7,7 quarters is correct because there are 4 quarters in a whole and 1 3/4 is equal to 7/4. So, dividing 7/4 by 1/4 gives us a quotient of 7, indicating that there are 7 quarters in 1 3/4.

Explanation

The given answer of 7,7 quarters is correct because there are 4 quarters in a whole and 1 3/4 is equal to 7/4. So, dividing 7/4 by 1/4 gives us a quotient of 7, indicating that there are 7 quarters in 1 3/4.

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18. Simplify this fraction:

The given fraction, 7/9, cannot be simplified any further because the numerator and denominator do not have any common factors other than 1. Therefore, the fraction remains the same as the original.

Explanation

The given fraction, 7/9, cannot be simplified any further because the numerator and denominator do not have any common factors other than 1. Therefore, the fraction remains the same as the original.

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