Chapter 1, Problem 3A

To determine

(a)

To find the fractional part of the given data by the help of the given figure.

Answer to Problem 3A

The fraction form of the given expression is, $\frac{1}{16}$.

Explanation of Solution

Given:

The given figure is,

And the expression is, $1\text{part}=\_\_\_\_.$

Calculation:

Given: the total parts in the figure is $16$.

A fraction is a value that shows the number of equal parts taken of a whole quantity or unit.

The fraction form of the $x$ parts $=\frac{x\text{parts}}{\text{total}\text{}\text{parts}}$.

  $1\text{part}=\frac{1}{\text{total}\text{}\text{parts}}=\frac{1}{16}$ of the segment of the circle.

Hence the fraction form of the given expression is, $\frac{1}{16}$.

To determine

(b)

To find the fractional part of the given data by the help of given figure.

Answer to Problem 3A

The fraction form of the given expression is, $\frac{3}{16}$.

Explanation of Solution

Given:

The given figure is,

And the expression is, $3\text{parts}=\_\_\_\_.$

Calculation:

Given: the total parts in the figure is $16$.

A fraction is a value that shows the number of equal parts taken of a whole quantity or unit.

The fraction form of the $x$ parts $=\frac{x\text{parts}}{\text{total}\text{}\text{parts}}$.

  $\text{3 parts}=\frac{3}{\text{total}\text{}\text{parts}}=\frac{3}{16}$ of the segment of the circle.

Hence the fraction form of the given expression is, $\frac{3}{16}$.

To determine

(c)

To find the fractional part of the given data by the help of given figure.

Answer to Problem 3A

The fraction form of the given expression is, $\frac{7}{16}$.

Explanation of Solution

Given:

The given figure is,

And the expression is, $7\text{parts}=\_\_\_\_.$

Calculation:

Given: the total parts in the figure is $16$.

A fraction is a value that shows the number of equal parts taken of a whole quantity or unit.

The fraction form of the $x$ parts $=\frac{x\text{parts}}{\text{total}\text{}\text{parts}}$.

  $\text{7 parts}=\frac{7}{\text{Total}\text{}\text{parts}}=\frac{7}{16}$ of the segment of the circle.

Hence the fraction form of the given expression is, $\frac{7}{16}$.

To determine

(d)

To find the fractional part of the given data by the help of given figure.

Answer to Problem 3A

The fraction form of the given expression is, $\frac{5}{16}$.

Explanation of Solution

Given:

The given figure is,

And the expression is, $5\text{parts}=\_\_\_\_.$

Calculation:

Given: the total parts in the figure is $16$.

A fraction is a value that shows the number of equal parts taken of a whole quantity or unit.

The fraction form of the $x$ parts $=\frac{x\text{parts}}{\text{total}\text{}\text{parts}}$.

  $\text{5 parts}=\frac{5}{\text{Total}\text{}\text{parts}}=\frac{5}{16}$ of the segment of the circle.

Hence the fraction form of the given expression is, $\frac{5}{16}$.

To determine

(e)

Determine the fractional part of the given data by the help of given figure.

Answer to Problem 3A

The fraction form of the given expression is, $1$.

Explanation of Solution

Given:

The given figure is,

And the expression is, $16\text{parts}=\_\_\_\_.$

Calculation:

Given: the total parts in the figure is $16$.

A fraction is a value that shows the number of equal parts taken of a whole quantity or unit.

The fraction form of the $x$ parts $=\frac{x\text{parts}}{\text{total}\text{}\text{parts}}$.

  $16\text{parts}=\frac{16}{\text{Total}\text{}\text{parts}}=\frac{16}{16}=1$ of the segment of the circle.

Hence the fraction form of the given expression is, $1$.

To determine

(f)

Determine the fractional part of the given data by the help of given figure.

Answer to Problem 3A

The fraction form of the given expression is, $\frac{1}{32}$.

Explanation of Solution

Given:

The given figure is,

And the expression is, $\frac{1}{2}\text{of}1\text{part}=\_\_\_\_.$

Calculation:

Given: the total parts in the figure is $16$.

A fraction is a value that shows the number of equal parts taken of a whole quantity or unit.

The fraction form of the $x$ parts $=\frac{x\text{parts}}{\text{total}\text{}\text{parts}}$.

  $1\text{part}=\frac{1}{\text{Total}\text{}\text{parts}}=\frac{1}{16}$ of the segment of the circle.

  $\frac{1}{2}\text{of}1\text{part}=\frac{1}{2}\cdot \frac{1}{16}=\frac{1}{32}$ of the segment of the circle.

Hence the fraction form of the given expression is, $\frac{1}{32}$.

To determine

(g)

To find the fractional part of the given data by the help of given figure.

Answer to Problem 3A

The fraction form of the given expression is, $\frac{1}{48}$.

Explanation of Solution

Given:

The given figure is,

And the expression is, $\frac{1}{3}\text{of}1\text{part}=\_\_\_\_.$

Calculation:

Given: the total parts in the figure is $16$.

A fraction is a value that shows the number of equal parts taken of a whole quantity or unit.

The fraction form of the $x$ parts $=\frac{x\text{parts}}{\text{total}\text{}\text{parts}}$.

  $1\text{part}=\frac{1}{\text{Total}\text{}\text{parts}}=\frac{1}{16}$ of the segment of the circle.

  $\frac{1}{3}\text{of}1\text{part}=\frac{1}{3}\cdot \frac{1}{16}=\frac{1}{48}$ of the segment of the circle.

Hence the fraction form of the given expression is, $\frac{1}{48}$.

To determine

(h)

Determine the fractional part of the given data by the help of given figure.

Answer to Problem 3A

The fraction form of the given expression is, $\frac{3}{64}$.

Explanation of Solution

Given:

The given figure is,

And the expression is, $\frac{3}{4}\text{of }1\text{part}=\_\_\_\_.$

Calculation:

Given: the total parts in the figure is $16$.

A fraction is a value that shows the number of equal parts taken of a whole quantity or unit.

The fraction form of the $x$ parts $=\frac{x\text{parts}}{\text{total}\text{}\text{parts}}$.

  $1\text{part}=\frac{1}{\text{Total}\text{}\text{parts}}=\frac{1}{16}$ of the segment of the circle.

  $\frac{3}{4}\text{of }1\text{part}=\frac{3}{4}\cdot \frac{1}{16}=\frac{3}{64}$ of the segment of the circle.

Hence the fraction form of the given expression is, $\frac{3}{64}$.

To determine

(i)

To find the fractional part of the given data by the help of given figure.

Answer to Problem 3A

The fraction form of the given expression is, $\frac{1}{160}$.

Explanation of Solution

Given:

The given figure is,

And the expression is, $\frac{1}{10}\text{of }1\text{part}=\_\_\_\_.$

Calculation:

Given: the total parts in the figure is $16$.

A fraction is a value that shows the number of equal parts taken of a whole quantity or unit.

The fraction form of the $x$ parts $=\frac{x\text{parts}}{\text{total}\text{}\text{parts}}$.

  $1\text{part}=\frac{1}{\text{Total}\text{}\text{parts}}=\frac{1}{16}$ of the segment of the circle.

  $\frac{1}{10}\text{of }1\text{part}=\frac{1}{10}\cdot \frac{1}{16}=\frac{1}{160}$ of the segment of the circle.

Hence the fraction form of the given expression is, $\frac{1}{160}$.

To determine

(j)

To find the fractional part of the given data by the help of given figure.

Answer to Problem 3A

The fraction form of the given expression is, $\frac{1}{256}$.

Explanation of Solution

Given:

The given figure is,

And the expression is, $\frac{1}{16}\text{of }1\text{part}=\_\_\_\_.$

Calculation:

Given: the total parts in the figure is $16$.

A fraction is a value that shows the number of equal parts taken of a whole quantity or unit.

The fraction form of the $x$ parts $=\frac{x\text{parts}}{\text{total}\text{}\text{parts}}$.

  $1\text{part}=\frac{1}{\text{Total}\text{}\text{parts}}=\frac{1}{16}$ of the segment of the circle.

  $\frac{1}{16}\text{of }1\text{part}=\frac{1}{16}\cdot \frac{1}{16}=\frac{1}{256}$ of the segment of the circle.

Hence the fraction form of the given expression is, $\frac{1}{256}$.