1. Divide 5/7 by 9/49
Solution:
We have, 5/7 ÷ 9/49 = 5/7 × 49/9 = (5 × 49)/(7 × 9) = 245/63 = 35/9
2. Divide -3/4 by 9/16
Solution:
We have, -3/4 ÷ 9/16 = -3/4 × 16/9 = (-3 × 16)/(4 × 9) = -48/36 = -4/3
3. Divide -7/6 by -3/28
Solution:
We have, -7/6 ÷ -3/28 = -7/6 × 28/-3 = (-7 × 28)/(6 × -3) = -196/-18 = 98/9
4. Divide -2/5 by 4/-9
Solution:
We have, -2/5 ÷ 4/-9 = -2/5 × -9/4 = (-2 × -9)/(5 × 4) = 18/20 = 9/10
5. The product of two rational numbers is -12/35. If one of the numbers is 3/7, find the other.
Solution:
We have, product of two numbers = -12/35, one number = 3/7.
So, the other number is obtained by dividing the product by the given number.
Therefore, other number = -12/35 ÷ 3/7 = -12/35 × 7/3 = (-12 × 7)/(35 × 3) = -84/105 = -4/5.
6. By what number should we multiply 16/-21, so that the product may be 4/7.
Solution:
We have,
Product of two numbers = 4/7, One number = 16/-21.
Therefore, the other number = 4/7 ÷ 16/-21 = 4/7 × -21/16 = (4 × -21)/(7 × 16) = -84/112 = -3/4.
This might help. Hope it does. :-)