We appreciate your visit to Directions Write each ratio in simplest form 1 2 feet to 40 inches 2 10 inches to 1 yard 3 3 meters to 108 centimeters. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Sure! Let's simplify each ratio step by step.
### 5. 2 feet to 40 inches
1. Convert feet to inches: 1 foot = 12 inches, so 2 feet = 24 inches.
2. Form the ratio: 24 inches to 40 inches, which is [tex]\( \frac{24}{40} \)[/tex].
3. Simplify the ratio: Divide both the numerator and the denominator by their greatest common divisor, which is 8. So, [tex]\( \frac{24}{40} \)[/tex] simplifies to [tex]\( \frac{3}{5} \)[/tex].
4. Decimal form: 0.6
### 6. 10 inches to 1 yard
1. Convert yards to inches: 1 yard = 36 inches.
2. Form the ratio: 10 inches to 36 inches, which is [tex]\( \frac{10}{36} \)[/tex].
3. Simplify the ratio: Divide both by 2, the greatest common divisor, resulting in [tex]\( \frac{5}{18} \)[/tex].
4. Decimal form: Approximately 0.278
### 7. 3 meters to 108 centimeters
1. Convert meters to centimeters: 1 meter = 100 centimeters, so 3 meters = 300 centimeters.
2. Form the ratio: 300 cm to 108 cm, which is [tex]\( \frac{300}{108} \)[/tex].
3. Simplify the ratio: Both numbers can be divided by 12 to simplify to [tex]\( \frac{25}{9} \)[/tex].
4. Decimal form: Approximately 2.778
### 8. 72 millimeters to 3 meters
1. Convert meters to millimeters: 1 meter = 1000 millimeters, so 3 meters = 3000 millimeters.
2. Form the ratio: 72 mm to 3000 mm, which is [tex]\( \frac{72}{3000} \)[/tex].
3. Simplify the ratio: Divide by 24, the greatest common divisor, to get [tex]\( \frac{6}{250} \)[/tex].
4. Decimal form: 0.024
### 9. 1 mile to 800 feet
1. Convert miles to feet: 1 mile = 5280 feet.
2. Form the ratio: 5280 feet to 800 feet, which is [tex]\( \frac{5280}{800} \)[/tex].
3. Simplify the ratio: Divide by 80, which gives us [tex]\( \frac{66}{10} \)[/tex].
4. Decimal form: 6.6
### 10. 48 ounces to 5 pounds
1. Convert pounds to ounces: 1 pound = 16 ounces, so 5 pounds = 80 ounces.
2. Form the ratio: 48 oz to 80 oz, which is [tex]\( \frac{48}{80} \)[/tex].
3. Simplify the ratio: Divide by 16 to get [tex]\( \frac{3}{5} \)[/tex].
4. Decimal form: 0.6
### 11. 12 cups to 2 pints
1. Convert pints to cups: 1 pint = 2 cups, so 2 pints = 4 cups.
2. Form the ratio: 12 cups to 4 cups, which is [tex]\( \frac{12}{4} \)[/tex].
3. Simplify the ratio: Divide by 4 to get [tex]\( \frac{3}{1} \)[/tex] or simply 3.
4. Decimal form: 3.0
### 12. 6 gallons to 15 quarts
1. Convert gallons to quarts: 1 gallon = 4 quarts, so 6 gallons = 24 quarts.
2. Form the ratio: 24 quarts to 15 quarts, which is [tex]\( \frac{24}{15} \)[/tex].
3. Simplify the ratio: Divide by 3 to get [tex]\( \frac{8}{5} \)[/tex].
4. Decimal form: 1.6
### 13. 7 cups to 20 ounces
1. Convert cups to ounces: 1 cup = 8 ounces, so 7 cups = 56 ounces.
2. Form the ratio: 56 ounces to 20 ounces, which is [tex]\( \frac{56}{20} \)[/tex].
3. Simplify the ratio: Divide by 4 to get [tex]\( \frac{14}{5} \)[/tex].
4. Decimal form: 2.8
### 14. 42 seconds to 2 minutes
1. Convert minutes to seconds: 1 minute = 60 seconds, so 2 minutes = 120 seconds.
2. Form the ratio: 42 seconds to 120 seconds, which is [tex]\( \frac{42}{120} \)[/tex].
3. Simplify the ratio: Divide by 6 to get [tex]\( \frac{7}{20} \)[/tex].
4. Decimal form: 0.35
### 15. 20 hours to 4 days
1. Convert days to hours: 1 day = 24 hours, so 4 days = 96 hours.
2. Form the ratio: 20 hours to 96 hours, which is [tex]\( \frac{20}{96} \)[/tex].
3. Simplify the ratio: Divide by 4 to get [tex]\( \frac{5}{24} \)[/tex].
4. Decimal form: Approximately 0.208
### 16. 2 years to 16 months
1. Convert years to months: 1 year = 12 months, so 2 years = 24 months.
2. Form the ratio: 24 months to 16 months, which is [tex]\( \frac{24}{16} \)[/tex].
3. Simplify the ratio: Divide by 8 to get [tex]\( \frac{3}{2} \)[/tex].
4. Decimal form: 1.5
I hope this detailed step-by-step solution helps you understand how to simplify each of these ratios! If you have any more questions, feel free to ask.
### 5. 2 feet to 40 inches
1. Convert feet to inches: 1 foot = 12 inches, so 2 feet = 24 inches.
2. Form the ratio: 24 inches to 40 inches, which is [tex]\( \frac{24}{40} \)[/tex].
3. Simplify the ratio: Divide both the numerator and the denominator by their greatest common divisor, which is 8. So, [tex]\( \frac{24}{40} \)[/tex] simplifies to [tex]\( \frac{3}{5} \)[/tex].
4. Decimal form: 0.6
### 6. 10 inches to 1 yard
1. Convert yards to inches: 1 yard = 36 inches.
2. Form the ratio: 10 inches to 36 inches, which is [tex]\( \frac{10}{36} \)[/tex].
3. Simplify the ratio: Divide both by 2, the greatest common divisor, resulting in [tex]\( \frac{5}{18} \)[/tex].
4. Decimal form: Approximately 0.278
### 7. 3 meters to 108 centimeters
1. Convert meters to centimeters: 1 meter = 100 centimeters, so 3 meters = 300 centimeters.
2. Form the ratio: 300 cm to 108 cm, which is [tex]\( \frac{300}{108} \)[/tex].
3. Simplify the ratio: Both numbers can be divided by 12 to simplify to [tex]\( \frac{25}{9} \)[/tex].
4. Decimal form: Approximately 2.778
### 8. 72 millimeters to 3 meters
1. Convert meters to millimeters: 1 meter = 1000 millimeters, so 3 meters = 3000 millimeters.
2. Form the ratio: 72 mm to 3000 mm, which is [tex]\( \frac{72}{3000} \)[/tex].
3. Simplify the ratio: Divide by 24, the greatest common divisor, to get [tex]\( \frac{6}{250} \)[/tex].
4. Decimal form: 0.024
### 9. 1 mile to 800 feet
1. Convert miles to feet: 1 mile = 5280 feet.
2. Form the ratio: 5280 feet to 800 feet, which is [tex]\( \frac{5280}{800} \)[/tex].
3. Simplify the ratio: Divide by 80, which gives us [tex]\( \frac{66}{10} \)[/tex].
4. Decimal form: 6.6
### 10. 48 ounces to 5 pounds
1. Convert pounds to ounces: 1 pound = 16 ounces, so 5 pounds = 80 ounces.
2. Form the ratio: 48 oz to 80 oz, which is [tex]\( \frac{48}{80} \)[/tex].
3. Simplify the ratio: Divide by 16 to get [tex]\( \frac{3}{5} \)[/tex].
4. Decimal form: 0.6
### 11. 12 cups to 2 pints
1. Convert pints to cups: 1 pint = 2 cups, so 2 pints = 4 cups.
2. Form the ratio: 12 cups to 4 cups, which is [tex]\( \frac{12}{4} \)[/tex].
3. Simplify the ratio: Divide by 4 to get [tex]\( \frac{3}{1} \)[/tex] or simply 3.
4. Decimal form: 3.0
### 12. 6 gallons to 15 quarts
1. Convert gallons to quarts: 1 gallon = 4 quarts, so 6 gallons = 24 quarts.
2. Form the ratio: 24 quarts to 15 quarts, which is [tex]\( \frac{24}{15} \)[/tex].
3. Simplify the ratio: Divide by 3 to get [tex]\( \frac{8}{5} \)[/tex].
4. Decimal form: 1.6
### 13. 7 cups to 20 ounces
1. Convert cups to ounces: 1 cup = 8 ounces, so 7 cups = 56 ounces.
2. Form the ratio: 56 ounces to 20 ounces, which is [tex]\( \frac{56}{20} \)[/tex].
3. Simplify the ratio: Divide by 4 to get [tex]\( \frac{14}{5} \)[/tex].
4. Decimal form: 2.8
### 14. 42 seconds to 2 minutes
1. Convert minutes to seconds: 1 minute = 60 seconds, so 2 minutes = 120 seconds.
2. Form the ratio: 42 seconds to 120 seconds, which is [tex]\( \frac{42}{120} \)[/tex].
3. Simplify the ratio: Divide by 6 to get [tex]\( \frac{7}{20} \)[/tex].
4. Decimal form: 0.35
### 15. 20 hours to 4 days
1. Convert days to hours: 1 day = 24 hours, so 4 days = 96 hours.
2. Form the ratio: 20 hours to 96 hours, which is [tex]\( \frac{20}{96} \)[/tex].
3. Simplify the ratio: Divide by 4 to get [tex]\( \frac{5}{24} \)[/tex].
4. Decimal form: Approximately 0.208
### 16. 2 years to 16 months
1. Convert years to months: 1 year = 12 months, so 2 years = 24 months.
2. Form the ratio: 24 months to 16 months, which is [tex]\( \frac{24}{16} \)[/tex].
3. Simplify the ratio: Divide by 8 to get [tex]\( \frac{3}{2} \)[/tex].
4. Decimal form: 1.5
I hope this detailed step-by-step solution helps you understand how to simplify each of these ratios! If you have any more questions, feel free to ask.
Thanks for taking the time to read Directions Write each ratio in simplest form 1 2 feet to 40 inches 2 10 inches to 1 yard 3 3 meters to 108 centimeters. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
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