Chapter 4.3, Problem 65E

(F)

To determine

To find fraction in in simplest form or not.

Answer to Problem 65E

Fraction Not in Simplest Form. Simplest form is $\frac{1}{5}$ .

Explanation of Solution

Given information: $\frac{13}{65}$

Formula Used: Factorisation

Calculation:

  $\frac{13}{65}$

Now, Simplify by breaking numerator and denominator into multiplication of prime numbers

  $\frac{13}{65}=\frac{13}{5\times 13}$

Now, divide the numerator by denominator to make fraction in simplest form.

  $\frac{13}{5\times 13}=\frac{1}{5}$

Hence, fraction in simplest form

  $\frac{13}{65}=\frac{1}{5}$

Hence,

  $\frac{1}{5}$ is the simplest form of $\frac{13}{65}$ .

(G)

To determine

To find fraction in simplest form and not.

Answer to Problem 65E

Simplest Form

Explanation of Solution

Given information: $\frac{8}{17}$

Formula Used: Factorisation

Calculation:

  $\frac{8}{17}$

Now, Simplify by breaking numerator and denominator into multiplication of prime numbers

  $\frac{8}{17}=\frac{2\times 2\times 2}{17\times 1}$

Now, divide the numerator by denominator to make fraction in simplest form gives same result as 17 is prime number.

Hence,

  $\frac{8}{17}$ is already a simplest form.

(H)

To determine

To find fraction in simplest form and equivalent.

Answer to Problem 65E

Simplest Form

Explanation of Solution

Given information: $\frac{9}{16}$

Formula Used: Factorisation

Calculation:

  $\frac{9}{16}$

Now, Simplify by breaking numerator and denominator into multiplication of prime numbers

  $\frac{9}{16}=\frac{3\times 3}{2\times 2\times 2\times 2}$

Now, divide the numerator by denominator to make fraction in simplest form gives same result as there is no common factor.

Hence,

  $\frac{9}{16}$ is already a simplest form.

(I)

To determine

To find fraction in simplest form or not.

Answer to Problem 65E

Simplest Form

Explanation of Solution

Given information: $\frac{15}{37}$

Formula Used: Factorisation

Calculation:

  $\frac{15}{37}$

Now, Simplify by breaking numerator and denominator into multiplication of prime numbers

  $\frac{15}{37}=\frac{3\times 5}{37}$

Now, divide the numerator by denominator to make fraction in simplest form gives same result as 37 is prime number.

Hence,

  $\frac{15}{37}$ is already a simplest form.