1.
Which of the following fractions is greater than 1/2?
Correct Answer
B. 3/5
Explanation
The fraction 3/5 is greater than 1/2 because when comparing fractions, we can cross-multiply. When we cross-multiply 1/2 and 3/5, we get 5/10 and 6/10 respectively. Since 6/10 is greater than 5/10, 3/5 is greater than 1/2.
2.
3 1/2 + 5 1/3 =
Correct Answer
D. 2/5
3.
Which two fractions are equivalent?
Correct Answer
D. 2/3 and 1/3
Explanation
The fractions 2/3 and 1/3 are equivalent because they have the same numerator (2) and different denominators (3 and 1). When the denominators are different, we can find equivalent fractions by multiplying or dividing both the numerator and denominator by the same number. In this case, we can divide both 2/3 and 1/3 by 1 to get the equivalent fractions 2/3 and 1/3.
4.
5/2 ÷ 3/4 =
Correct Answer
D. 1
Explanation
When dividing fractions, we can multiply the first fraction by the reciprocal of the second fraction. In this case, we have (5/2) รท (3/4), which is the same as (5/2) * (4/3). Multiplying the numerators (5 * 4) gives us 20, and multiplying the denominators (2 * 3) gives us 6. Therefore, the result is 20/6, which simplifies to 10/3. However, the given answer is 1, which is incorrect.
5.
5 ÷ 1/7 =
Correct Answer
D. 35
Explanation
When dividing a number by a fraction, we can multiply the number by the reciprocal of the fraction to obtain the result. In this case, we divide 5 by 1/7, which is the same as multiplying 5 by 7/1. Multiplying 5 by 7 gives us 35, so the correct answer is 35.
6.
2/5 x 3/7 =
Correct Answer
D. 15/14
Explanation
To multiply fractions, we multiply the numerators together and the denominators together. In this case, multiplying 2/5 by 3/7 gives us (2 x 3) / (5 x 7), which simplifies to 6/35. Therefore, the correct answer is 6/35.
7.
To have a + 1 3/4 = 2, a must be equal to
Correct Answer
D. 1/4
Explanation
In order for the equation "a + 1 3/4 = 2" to be true, the value of "a" must be equal to 1/4.
8.
Write 2 1/3 as a fraction
Correct Answer
D. 6
Explanation
The given question asks to write 2 1/3 as a fraction. To do this, we need to convert the mixed number 2 1/3 into an improper fraction. To convert the whole number 2 into a fraction, we multiply it by the denominator of the fraction, which is 3. This gives us 6/3. Adding the numerator 1 to this fraction, we get 7/3. Therefore, 2 1/3 can be written as the fraction 7/3.
9.
Write 31/8 as a mixed number.
Correct Answer
D. 3 7/8
Explanation
To convert a fraction to a mixed number, divide the numerator by the denominator. In this case, 31 divided by 8 equals 3 with a remainder of 7. Therefore, the mixed number is 3 7/8.
10.
Write 2/3 of 4 as a mixed number.
Correct Answer
D. 2
Explanation
To write 2/3 of 4 as a mixed number, we need to find two-thirds of 4. Two-thirds of 4 is equal to 8/3. A mixed number consists of a whole number and a fraction. Since 8/3 is greater than 2, we can write it as a mixed number. The whole number is 2, and the fraction is 2/3. Therefore, the correct answer is 2 2/3.