At the beginning of a lesson a piece of chalk is 4.875 inches long at the end of the lesson the chalk is 3.125 inches long write the two amounts and expanded form using fractions

The expanded form of the lengths of chalk at the beginning and at the end of a lesson is and respectively.

Further explanation:

The length of the chalk at the beginning of a lesson is and the length of the chalk at the end of the lesson is .

The numbers with decimal places can be written in the expanded form by the use of the fractions.

The first decimal place corresponds to tenth place, second decimal place corresponds to the hundredth place and third decimal place corresponds to the thousandth place.

Therefore, the first decimal place number can be written as a fraction value with denominator of , second decimal place number can be written as a fraction value with denominator of and so on.

The length of chalk at the beginning of a lesson can be expanded as sum of decimal values as,

Now, by the use of concept, the above decimal values can be written in fraction form as,

Similarly, the length of chalk at the end of a lesson can be expanded as sum of decimal values as,

Now, by the use of concept, the above decimal values can be written in fraction form as,

Thus, the expanded form of the lengths of chalk at the beginning and at the end of a lesson is and respectively.

Learn more:  

1. Composite functions

2. To solve one variable linear equation

3. Fractional expression simplification

Answer details

Grade: Middle school

Subject: Mathematics

Chapter: Fractions

Keywords: chalk, lesson, piece, inches, 4.875 inches, 3.125 inches, two amounts, expanded form, beginning, end of lesson, end, beginning of lesson, piece of chalk.

a = 11 : 4

b = 38

c = 1 for every 6