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.
ScanSolve AI Answer
Right Chosen, let's solve these ratios again. 1. Simplify 50 mm : 25 mm Step 1: The units are already the same. Step 2: Divide both sides by the greatest common divisor, which is 25. (50)/(25) : (25)/(25) Step 3: Simplify the division. 2 : 1 The simplified ratio is 2:1. 2. Simplify 15 kg : 21000 g Step 1: Convert kilograms to grams. (1 kg = 1000 g) 15 kg = 15 × 1000 g = 15000 g Step 2: Write the ratio with the same units. 15000 g : 21000 g Step 3: Divide both sides by 1000. 15 : 21 Step 4: Divide both sides by their greatest common divisor, which is 3. (15)/(3) : (21)/(3) 5 : 7 The simplified ratio is 5:7. 3. Simplify 120 sec : 8 min Step 1: Convert minutes to seconds. (1 min = 60 sec) 8 min = 8 × 60 sec = 480 sec Step 2: Write the ratio with the same units. 120 sec : 480 sec Step 3: Divide both sides by their greatest common divisor, which is 120. (120)/(120) : (480)/(120) 1 : 4 The simplified ratio is 1:4. 4. Simplify 49 months : 7 years Step 1: Convert years to months. (1 year = 12 months) 7 years = 7 × 12 months = 84 months Step 2: Write the ratio with the same units. 49 months : 84 months Step 3: Divide both sides by their greatest common divisor, which is 7. (49)/(7) : (84)/(7) 7 : 12 The simplified ratio is 7:12. 5. Simplify 7.5 litres : 700 millilitres Step 1: Convert litres to millilitres. (1 litre = 1000 millilitres) 7.5 litres = 7.5 × 1000 millilitres = 7500 millilitres Step 2: Write the ratio with the same units. 7500 millilitres : 700 millilitres Step 3: Divide both sides by their greatest common divisor, which is 100. (7500)/(100) : (700)/(100) 75 : 7 The simplified ratio is 75:7. That's 2 down. 3 left today — send the next one.