Simplifying Fractions: Math Quiz! Trivia

1. 2/5 and 10/25 are equivalent to fractions.

True

False

The fractions 2/5 and 10/25 are equivalent because they represent the same value. To check this, we can simplify both fractions. By dividing the numerator and denominator of 10/25 by 5, we get 2/5. Therefore, the fractions 2/5 and 10/25 are equivalent.

Explanation

The fractions 2/5 and 10/25 are equivalent because they represent the same value. To check this, we can simplify both fractions. By dividing the numerator and denominator of 10/25 by 5, we get 2/5. Therefore, the fractions 2/5 and 10/25 are equivalent.

2. 3/9 cannot be simplified.

True

False

The given statement is false because 3/9 can be simplified. Both the numerator and denominator have a common factor of 3, so we can divide both by 3 to simplify the fraction. After simplifying, we get 1/3, which is the simplest form of 3/9.

Explanation

The given statement is false because 3/9 can be simplified. Both the numerator and denominator have a common factor of 3, so we can divide both by 3 to simplify the fraction. After simplifying, we get 1/3, which is the simplest form of 3/9.

3. Which of the following is the lowest term for 5/55?

1/11

5/11

11/55

1/55

The lowest term for a fraction is when the numerator and denominator have no common factors other than 1. In this case, the numerator 5 and the denominator 55 have a common factor of 5. By dividing both the numerator and denominator by 5, we get the fraction 1/11, which is the lowest term for 5/55.

Explanation

The lowest term for a fraction is when the numerator and denominator have no common factors other than 1. In this case, the numerator 5 and the denominator 55 have a common factor of 5. By dividing both the numerator and denominator by 5, we get the fraction 1/11, which is the lowest term for 5/55.

4. Which is the lowest term for 8/48?

1/6

4/12

8/48

1/2

The lowest term for 8/48 is 1/6 because both the numerator and denominator can be divided by 8, resulting in 1/6.

Explanation

The lowest term for 8/48 is 1/6 because both the numerator and denominator can be divided by 8, resulting in 1/6.

5. Simplified 15/40.

3/8

1/2

3/4

5/8

To simplify the fraction 15/40, we can divide both the numerator and denominator by their greatest common divisor, which is 5. Dividing 15 by 5 gives us 3, and dividing 40 by 5 gives us 8. Therefore, the simplified form of 15/40 is 3/8.

Explanation

To simplify the fraction 15/40, we can divide both the numerator and denominator by their greatest common divisor, which is 5. Dividing 15 by 5 gives us 3, and dividing 40 by 5 gives us 8. Therefore, the simplified form of 15/40 is 3/8.

6. Which of the following is equivalent to 3/12?

1/4

3/4

1/6

2/5

The fraction 3/12 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 3. When we divide 3 by 3, we get 1, and when we divide 12 by 3, we get 4. Therefore, the equivalent fraction of 3/12 is 1/4.

Explanation

The fraction 3/12 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 3. When we divide 3 by 3, we get 1, and when we divide 12 by 3, we get 4. Therefore, the equivalent fraction of 3/12 is 1/4.

7. Which is the lowest term of 6/24?

1/4

3/12

4/6

3/8

The lowest term of a fraction is when the numerator and denominator have no common factors other than 1. To find the lowest term of 6/24, we need to simplify the fraction. Both 6 and 24 can be divided by 6, so we divide both the numerator and denominator by 6 to get 1/4. Therefore, 1/4 is the lowest term of 6/24.

Explanation

The lowest term of a fraction is when the numerator and denominator have no common factors other than 1. To find the lowest term of 6/24, we need to simplify the fraction. Both 6 and 24 can be divided by 6, so we divide both the numerator and denominator by 6 to get 1/4. Therefore, 1/4 is the lowest term of 6/24.

8. 3/4 is the lowest term of 6/12.

True

False

The lowest term of a fraction is the simplest form it can be reduced to. To find the lowest term, you divide the numerator and denominator by their greatest common factor. In the case of 6/12, the greatest common factor is 6. Dividing both by 6 gives you 1/2, which is the lowest term. 3/4 can be obtained by dividing both numerator and denominator of 6/12 by 2, but it is not the simplest form.

Explanation

The lowest term of a fraction is the simplest form it can be reduced to. To find the lowest term, you divide the numerator and denominator by their greatest common factor. In the case of 6/12, the greatest common factor is 6. Dividing both by 6 gives you 1/2, which is the lowest term. 3/4 can be obtained by dividing both numerator and denominator of 6/12 by 2, but it is not the simplest form.

9. Which of the following is in the simplest form?

5/6

3/6

2/6

4/6

The fraction 5/6 is in the simplest form because the numerator (5) and the denominator (6) have no common factors other than 1. This means that the fraction cannot be further reduced or simplified.

Explanation

The fraction 5/6 is in the simplest form because the numerator (5) and the denominator (6) have no common factors other than 1. This means that the fraction cannot be further reduced or simplified.

10. Which of the following will help reduce fractions into lowest terms?

Divide the numerator and denominator by their GCF

Divide the numerator and denominator by their LCM

Multiply the numerator by its denominator

Divide the numerator by its denominator

Dividing the numerator and denominator by their greatest common factor (GCF) will help reduce fractions into lowest terms. The GCF is the largest number that divides both the numerator and denominator without leaving a remainder. By dividing both the numerator and denominator by their GCF, we can simplify the fraction and express it in its lowest terms. This process ensures that the fraction cannot be further simplified and is in its simplest form.

Explanation

Dividing the numerator and denominator by their greatest common factor (GCF) will help reduce fractions into lowest terms. The GCF is the largest number that divides both the numerator and denominator without leaving a remainder. By dividing both the numerator and denominator by their GCF, we can simplify the fraction and express it in its lowest terms. This process ensures that the fraction cannot be further simplified and is in its simplest form.