Reduce the following ratios to their lowest terms: a) 300mL to 500mL b) 500g to 750g

Question

ScanSolve AI Tutor · Accepted Answer

To reduce a ratio to its lowest terms, we express it as a fraction and then divide both parts by their greatest common divisor (GCD).

a) Reduce 300mL to 500mL

Write the ratio as a fraction.
$\frac{300 \text{ mL}}{500 \text{ mL}}$
Divide both the numerator and the denominator by their greatest common divisor, which is 100.
$\frac{300 \div 100}{500 \div 100} = \frac{3}{5}$
The ratio in its lowest terms is $3:5$ .

b) Reduce 500g to 750g
Write the ratio as a fraction.
$\frac{500 \text{ g}}{750 \text{ g}}$
Divide both the numerator and the denominator by their greatest common divisor.
We can start by dividing by 10.
$\frac{500 \div 10}{750 \div 10} = \frac{50}{75}$
Divide both the numerator and the denominator by their new greatest common divisor, which is 25.
$\frac{50 \div 25}{75 \div 25} = \frac{2}{3}$
The ratio in its lowest terms is $2:3$ .

Final Answers:

a) $\boxed{3:5}$

b) $\boxed{2:3}$

Step-by-step solution