B - Multiplying Fractions

1.

2/6*3/5
- A.
  
  1/5
- B.
  
  2/10
- C.
  
  2/3
Correct Answer
A. 1/5

Explanation
To find the product of two fractions, we multiply the numerators together and the denominators together. In this case, the numerator is 2 multiplied by 3, which equals 6. The denominator is 6 multiplied by 5, which equals 30. Therefore, the simplified fraction is 6/30, which reduces to 1/5.

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2.

9/3*5/8
- A.
  
  1 4/45
- B.
  
  3 2/34
- C.
  
  33
Correct Answer
A. 1 4/45

Explanation
The given expression is a multiplication of two fractions. To simplify, we multiply the numerators together (9 * 5) and the denominators together (3 * 8). This gives us the fraction 45/24. Simplifying this fraction, we divide both the numerator and denominator by their greatest common divisor, which is 3. This results in the fraction 15/8. However, since the numerator is greater than the denominator, we can divide 15 by 8 to get a whole number and a remainder. Dividing 15 by 8 gives us 1 with a remainder of 7. Therefore, the final answer is 1 7/8, or in mixed number form, 1 4/45.

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3.

3/4*5/2
- A.
  
  3/6
- B.
  
  1 7/8
- C.
  
  2/5
Correct Answer
B. 1 7/8

Explanation
The given expression is a multiplication of two fractions. To multiply fractions, we multiply the numerators together and the denominators together. In this case, the numerator is 3 * 5 = 15, and the denominator is 4 * 2 = 8. So, the result is 15/8. However, we can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 1. Dividing 15 by 8 gives us a whole number quotient of 1 and a remainder of 7. Therefore, the simplified fraction is 1 7/8.

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1
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4.

1/8*7/9
- A.
  
  12/87
- B.
  
  7/72
- C.
  
  3/72
Correct Answer
B. 7/72

Explanation
The given expression is a multiplication of two fractions. To multiply fractions, we multiply the numerators together and multiply the denominators together. In this case, the numerator is 1 times 7 which equals 7, and the denominator is 8 times 9 which equals 72. Therefore, the simplified fraction is 7/72.

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5.

5/7 * 5/7
- A.
  
  25/7
- B.
  
  35/49
- C.
  
  25/49
- D.
  
  1
Correct Answer
C. 25/49

Explanation
The given expression is a multiplication of two fractions: 5/7 and 5/7. To multiply fractions, we multiply the numerators together and the denominators together. In this case, 5 multiplied by 5 is 25, and 7 multiplied by 7 is 49. Therefore, the resulting fraction is 25/49.

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2
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B - Multiplying Fractions

2/6*3/5

9/3*5/8

3/4*5/2

1/8*7/9

5/7 * 5/7