Answer: The fraction by what the number of boys had been reduced=1/11
Step-by-step explanation:
Step 1: To calculate the number of boys last year.
According to the question,
The number of boys last year= 400+95
The number of boys last year=495
Step 2: To calculate the number of girls this year.
According to the question,
The number of girls this year= 400 + 400*1/5
The number of girls this year= 480
Step 3: To calculate the number of boys this year.
According to the question,
The number of boys this year= 480 – 30
The number of boys this year=450
Step 4: To calculate the fraction by what the number of boys had been reduced.
The number of boys reduced= the number of boys last year - the number of boys this year
The number of boys reduced= 495 - 450 = 45
The fraction by what the number of boys had been reduced
= The number of boys reduced/the number of boys last year
Therefore,
The fraction by what the number of boys had been reduced= 45/495= 1/11