1.Find the LCD and add the fractions.
1/125+4/50=
11/125, 1/1250, 1/35, 551/6250
My answer is 11/125
2.Subtract; then reduce answer to lowest terms.
5/22-1/41=
227/902,183/901,183/902,61/301
My answer is 183/902
1/125 + 4/50
= 2/250 + 20/250
= 22/250
= 11/125
5/22 - 1/41
= (205-22)/(22*41)
= 183/902
Good work.
Thank you!
Thks
To find the least common denominator (LCD) and add the fractions, follow these steps:
1. Find the LCD:
- The denominators are 125 and 50.
- To find the LCD, you need to find the least common multiple (LCM) of these two numbers.
- The prime factorization of 125 is 5^3, and the prime factorization of 50 is 2 * 5^2.
- To calculate the LCM, take the highest power of each prime factor that appears in either number: 2 * 5^3 = 250.
- Therefore, the LCD is 250.
2. Adjust the fractions:
- Since the LCD is 250, both fractions need to have a denominator of 250.
- Multiply the numerator and denominator of the first fraction (1/125) by 2, giving us 2/250.
- Multiply the numerator and denominator of the second fraction (4/50) by 5, giving us 20/250.
3. Add the fractions:
- Now, we can add the adjusted fractions together: 2/250 + 20/250.
- Add the numerators while keeping the denominator the same: 2 + 20 = 22.
- The sum is 22/250.
Therefore, the correct answer is 22/250, which can be further simplified to 11/125.
To subtract the fractions and reduce the answer to the lowest terms, follow these steps:
1. Subtract the fractions:
- The given fractions are 5/22 and 1/41.
- To subtract fractions with different denominators, you need to find a common denominator.
- The LCD for 22 and 41 is their product, which is 22 * 41 = 902.
- Adjust the fractions to have a denominator of 902:
- Multiply the numerator and denominator of the first fraction (5/22) by 41, giving us 205/902.
- Multiply the numerator and denominator of the second fraction (1/41) by 22, giving us 22/902.
- Subtract the adjusted fractions: 205/902 - 22/902.
- Subtract the numerators while keeping the denominator the same: 205 - 22 = 183.
2. Reduce the fraction to lowest terms:
- To reduce the fraction, find the greatest common divisor (GCD) of the numerator and denominator.
- The GCD of 183 and 902 is 1.
- Divide both the numerator and denominator by the GCD: 183/902.
Therefore, the correct answer is 183/902, which cannot be further simplified.