Question

8. Write 32 : 14 in simplest form. * 9. Write 54 : 60 in…

8. Write 32 : 14 in simplest form. * 9. Write 54 : 60 in simplest form. *

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Answer

Q1: $16:7$; Q2: $9:10$


Q1: Write $32:14$ in simplest form.

The correct answer is: $16:7$

Explanation

To simplify a ratio, divide both terms by their greatest common divisor (gcd).

Steps:

  1. Compute the gcd: $$\gcd(32,14)=2$$
  2. Divide both terms by 2: $$32\div2=16,\quad14\div2=7$$
  3. Therefore: $$32:14=16:7$$

Q2: Write $54:60$ in simplest form.

The correct answer is: $9:10$

Explanation

Simplify by dividing both numbers by their gcd.

Steps:

  1. Compute the gcd: $$\gcd(54,60)=6$$
  2. Divide both terms by 6: $$54\div6=9,\quad60\div6=10$$
  3. Therefore: $$54:60=9:10$$