Final answer:
The statement is True. To reduce a number by a certain ratio, divide the number by the sum of the values in the ratio and then multiply it by the value for reduction.
Step-by-step explanation:
The statement is True.
- Convert the given ratio 4:5 to its equivalent fraction. 4:5 is equivalent to 4/5.
- To reduce a number by a certain ratio, divide the number by the sum of the values in the ratio and then multiply it by the value for reduction. In this case, divide 19 by the sum of 4 and 5, which is 9. Then, multiply it by 4/5.
- 19 ÷ 9 x 4/5 = 76/45
Therefore, 19 out of 20 reduced in the ratio 4:5 is equal to 76/45. So, the statement is true.