Question

Find the product of:

a) 5/8 × 4/7
A. 5/14
B. 10/21
C. 20/56
D. 40/49

b) 4/9 × 15/16
A. 5/12
B. 5/8
C. 10/27
D. 20/81

c) 2/5 × 15
A. 3
B. 6
C. 9
D. 12

Answer 1

The student's question involves finding the product of fractions and a fraction multiplied by a whole number. After following multiplication and simplification steps, the correct answers are B (5/14), A (5/12), and B (6) for each subquestion respectively.

Step-by-step explanation:

The student has asked to find the products of three sets of fractions and a whole number with a fraction.

1. For the first part, 5/8 × 4/7, we multiply the numerators together (5 × 4) to get 20, and the denominators together (8 × 7) to get 56, resulting in the fraction 20/56, which simplifies to 5/14.
2. Next, the product of 4/9 × 15/16 is found by multiplying the numerators (4 × 15) to get 60, and the denominators (9 × 16) to get 144. The fraction 60/144 simplifies to 5/12.
3. Finally, for 2/5 × 15, the product is 2 × 15 in the numerator and 5 in the denominator, which simplifies to 30/5 or simply 6.

Therefore, the correct answers are:

• a) 5/14 B
• b) 5/12 A
• c) 6 B