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
C. 8 5/6
3.
Which two fractions are equivalent?
Correct Answer
B. 4/3 and 8/6
Explanation
The fractions 4/3 and 8/6 are equivalent because when you simplify 8/6 by dividing both the numerator and the denominator by their greatest common divisor (2), you get 4/3.
8/6 ÷ 2/2 = 4/3
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.