Eii Studyhelper Math Fraction

1) The sum of 2/5 and 4/5 is 7/5.

True

False

The sum of 2/5 and 4/5 is 7/5.

Explanation

The sum of 2/5 and 4/5 is 7/5.

2) Five-fifths is equal to 1.

True

False

When we divide any number by itself, the result is always 1. In this case, "five-fifths" means dividing the number 5 by 5, which equals 1. Therefore, the statement "Five-fifths is equal to 1" is true.

Explanation

When we divide any number by itself, the result is always 1. In this case, "five-fifths" means dividing the number 5 by 5, which equals 1. Therefore, the statement "Five-fifths is equal to 1" is true.

3) What is the sum 1/11 and 7/11?

The sum of 1/11 and 7/11 is 8/11 or eight-elevenths. When you add the fractions together, the denominators remain the same and the numerators are added. In this case, 1 + 7 equals 8, so the sum is 8/11.

Explanation

The sum of 1/11 and 7/11 is 8/11 or eight-elevenths. When you add the fractions together, the denominators remain the same and the numerators are added. In this case, 1 + 7 equals 8, so the sum is 8/11.

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4) The difference of 5/3 and 1/3 is 1/3.

True

False

The difference of 5/3 and 1/3 is 4/3

Explanation

The difference of 5/3 and 1/3 is 4/3

5) If a cake was cut into 4 equal parts and Trina and her friends ate all. What is the fraction Trina and her friends eaten?

Trina and her friends ate all of the cake, which means they consumed the entire cake. Since the cake was cut into 4 equal parts, each part represents one-fourth of the whole cake. Therefore, Trina and her friends ate four-fourths or 4/4 of the cake.

Explanation

Trina and her friends ate all of the cake, which means they consumed the entire cake. Since the cake was cut into 4 equal parts, each part represents one-fourth of the whole cake. Therefore, Trina and her friends ate four-fourths or 4/4 of the cake.

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6) Rodrigo studied Math for 2/6 of an hour and Science for 3/6 of an hour. How long did he study Math and Science?

1/6 of an hour

5/6 of an hour

6/6 of an hour

Rodrigo studied Math for 2/6 of an hour and Science for 3/6 of an hour. To find the total time he studied both subjects, we need to add the fractions. 2/6 + 3/6 equals 5/6. Therefore, Rodrigo studied Math and Science for 5/6 of an hour.

Explanation

Rodrigo studied Math for 2/6 of an hour and Science for 3/6 of an hour. To find the total time he studied both subjects, we need to add the fractions. 2/6 + 3/6 equals 5/6. Therefore, Rodrigo studied Math and Science for 5/6 of an hour.

7) If the numerator is 4 and the denominator is 5, the fraction is 5/4.

True

False

The given statement says that if the numerator is 4 and the denominator is 5, the fraction is 5/4. However, this is incorrect. In a fraction, the numerator represents the number of equal parts being considered, and the denominator represents the total number of equal parts in the whole. Therefore, if the numerator is 4 and the denominator is 5, the correct fraction would be 4/5, not 5/4.

Explanation

The given statement says that if the numerator is 4 and the denominator is 5, the fraction is 5/4. However, this is incorrect. In a fraction, the numerator represents the number of equal parts being considered, and the denominator represents the total number of equal parts in the whole. Therefore, if the numerator is 4 and the denominator is 5, the correct fraction would be 4/5, not 5/4.

8) What is the missing fraction in 4/5 + ? = 9/5

The missing fraction in the equation 4/5 + ? = 9/5 is 5/5 or one whole. This can be determined by subtracting 4/5 from 9/5, which leaves 5/5 or one whole as the missing fraction.

Explanation

The missing fraction in the equation 4/5 + ? = 9/5 is 5/5 or one whole. This can be determined by subtracting 4/5 from 9/5, which leaves 5/5 or one whole as the missing fraction.

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9) To give the fraction 1/8, the whole must be divided into 5.

True

False

To give the fraction 1/8, the whole must be divided into 8 equal parts, not 5. Therefore, the statement is false.

Explanation

To give the fraction 1/8, the whole must be divided into 8 equal parts, not 5. Therefore, the statement is false.

10) Equivalent fractions are fractions that has the same value even they though they look different. What word means the same with the underlined word?

Similar

Same numerator

Equal

The word "equal" means the same as the underlined word "equivalent" in the given context. Equivalent fractions are fractions that have the same value, even though they may look different. Therefore, "equal" accurately describes the concept of equivalent fractions.

Explanation

The word "equal" means the same as the underlined word "equivalent" in the given context. Equivalent fractions are fractions that have the same value, even though they may look different. Therefore, "equal" accurately describes the concept of equivalent fractions.

11) 4/7 and 5/7 are dissimilar fractions.

True

False

The statement is false because 4/7 and 5/7 are actually similar fractions. Similar fractions have the same denominator, which is the case here. The only difference between the two fractions is the numerator, but since the denominator is the same, they represent parts of the same whole and are therefore similar.

Explanation

The statement is false because 4/7 and 5/7 are actually similar fractions. Similar fractions have the same denominator, which is the case here. The only difference between the two fractions is the numerator, but since the denominator is the same, they represent parts of the same whole and are therefore similar.

12) Valerie drove Makati to Alabang in 2/3 of an hour? Which fraction is equivalent to 2/3?

4/6

6/6

3/6

2/3 x 2/2 = 4/6

Explanation

2/3 x 2/2 = 4/6

13) Two-thirds (2/3) is less than 1

True

False

Two-thirds (2/3) is less than 1 because when we divide 2 by 3, the result is 0.6666... which is less than 1.

Explanation

Two-thirds (2/3) is less than 1 because when we divide 2 by 3, the result is 0.6666... which is less than 1.

14) Five-sevenths (5/7) is less than 1.

True

False

Five-sevenths (5/7) is actually greater than 1, not less than 1. This can be determined by comparing the numerator (5) with the denominator (7). Since the numerator is less than the denominator, the fraction is less than one. Therefore, the correct answer is False.

Explanation

Five-sevenths (5/7) is actually greater than 1, not less than 1. This can be determined by comparing the numerator (5) with the denominator (7). Since the numerator is less than the denominator, the fraction is less than one. Therefore, the correct answer is False.