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:
- Compute the gcd: $$\gcd(32,14)=2$$
- Divide both terms by 2: $$32\div2=16,\quad14\div2=7$$
- 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:
- Compute the gcd: $$\gcd(54,60)=6$$
- Divide both terms by 6: $$54\div6=9,\quad60\div6=10$$
- Therefore: $$54:60=9:10$$