This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
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Welcome back michaelperemobowei06 — been a while! Let's pick up where you left off. 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 Step 1: Write the ratio as a fraction. 300 mL500 mL Step 2: Divide both the numerator and the denominator by their greatest common divisor, which is 100. (300 ÷ 100)/(500 ÷ 100) = (3)/(5) The ratio in its lowest terms is 3:5. b) Reduce 500g to 750g Step 1: Write the ratio as a fraction. 500 g750 g Step 2: Divide both the numerator and the denominator by their greatest common divisor. We can start by dividing by 10. (500 ÷ 10)/(750 ÷ 10) = (50)/(75) Step 3: Divide both the numerator and the denominator by their new greatest common divisor, which is 25. (50 ÷ 25)/(75 ÷ 25) = (2)/(3) The ratio in its lowest terms is 2:3. Final Answers: a) 3:5 b) 2:3 Send me the next one 📸