Question

a rectangle is divded into certain equal 16 of the parts so formed represent the fraction 1/4, find the number of parts in which rectangle has been divided

Answer 1

To find the total number of parts that a rectangle is divided into, where 16 of the parts represent 1/4 of the whole, multiply 16 by 4, resulting in 64 equal parts in total.

Step-by-step explanation:

The student questions pertains to understanding fractions and proportions within the context of a rectangle being divided into equal parts. When a rectangle is divided in such a way that 16 of its parts represent 1/4 of the whole, we can identify the total number of parts in which the rectangle has been divided by setting up a simple proportion.

To find the total number of parts, consider that if 16 parts is 1/4, then the whole (which would be 4/4 or 1) would be 4 times 16. Multiplying 16 by 4 gives 64, which means the rectangle must be divided into 64 equal parts.

Step-by-Step Solution:

1. Understand that the 16 parts represent 1/4 of the whole rectangle.
2. Since 4 quarters make a whole, multiply 16 (1 quarter) by 4 to find the total number of parts (the whole).
3. 16 parts * 4 = 64 parts, thus there are 64 equal parts in the rectangle.